TSTP Solution File: SWC285-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC285-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:01:18 EDT 2024
% Result : Unsatisfiable 27.12s 27.35s
% Output : Proof 27.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWC285-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 26 16:07:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.63/10.82 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.62/15.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/20.87 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.74/25.98 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.12/27.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.cfXKoks7kX/cvc5---1.0.5_13882.smt2
% 27.12/27.35 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.cfXKoks7kX/cvc5---1.0.5_13882.smt2
% 27.33/27.55 (assume a0 (tptp.equalelemsP tptp.nil))
% 27.33/27.55 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 27.33/27.55 (assume a2 (tptp.strictorderedP tptp.nil))
% 27.33/27.55 (assume a3 (tptp.totalorderedP tptp.nil))
% 27.33/27.55 (assume a4 (tptp.strictorderP tptp.nil))
% 27.33/27.55 (assume a5 (tptp.totalorderP tptp.nil))
% 27.33/27.55 (assume a6 (tptp.cyclefreeP tptp.nil))
% 27.33/27.55 (assume a7 (tptp.ssList tptp.nil))
% 27.33/27.55 (assume a8 (tptp.ssItem tptp.skac3))
% 27.33/27.55 (assume a9 (tptp.ssItem tptp.skac2))
% 27.33/27.55 (assume a10 (not (tptp.singletonP tptp.nil)))
% 27.33/27.55 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 27.33/27.55 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 27.33/27.55 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 27.33/27.55 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 27.33/27.55 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 27.33/27.55 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 27.33/27.55 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 27.33/27.55 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 27.33/27.55 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 27.33/27.55 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 27.33/27.55 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 27.33/27.55 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 27.33/27.55 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 27.33/27.55 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 27.33/27.55 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 27.33/27.55 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 27.33/27.55 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 27.33/27.55 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 27.33/27.55 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 27.33/27.55 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 27.33/27.55 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 27.33/27.55 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 27.33/27.55 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 27.33/27.55 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 27.33/27.55 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 27.33/27.55 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 27.33/27.55 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 27.33/27.55 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 27.33/27.55 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 27.33/27.55 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 27.33/27.55 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 27.33/27.55 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 27.33/27.55 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 27.33/27.55 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 27.33/27.55 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 27.33/27.55 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 27.33/27.55 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 27.33/27.55 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 27.33/27.55 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 27.33/27.55 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 27.33/27.55 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 27.33/27.55 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 27.33/27.55 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 27.33/27.55 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 27.33/27.55 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 27.33/27.55 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 27.33/27.55 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 27.33/27.55 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 27.33/27.55 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 27.33/27.55 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 27.33/27.55 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 27.33/27.55 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 27.33/27.55 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 27.33/27.55 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 27.33/27.55 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 27.33/27.55 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 27.33/27.55 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 27.33/27.55 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.33/27.55 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 27.33/27.55 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.33/27.55 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 27.33/27.55 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.33/27.55 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 27.33/27.55 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.33/27.55 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 27.33/27.55 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.33/27.55 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 27.33/27.55 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 27.33/27.55 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 27.33/27.55 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 27.33/27.55 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 27.33/27.55 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 27.33/27.55 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 27.33/27.55 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 27.33/27.55 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 27.33/27.55 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 27.33/27.55 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 27.33/27.55 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 27.33/27.55 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 27.33/27.55 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 27.33/27.55 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 27.33/27.55 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 27.33/27.55 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 27.33/27.55 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 27.33/27.55 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 27.33/27.55 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 27.33/27.55 (assume a104 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))))
% 27.33/27.55 (assume a105 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))))
% 27.33/27.55 (assume a106 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))))
% 27.33/27.55 (assume a107 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))))
% 27.33/27.55 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 27.33/27.55 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 27.33/27.55 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 27.33/27.55 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 27.33/27.55 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 27.33/27.55 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 27.33/27.55 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 27.33/27.55 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 27.33/27.55 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 27.33/27.55 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.33/27.55 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 27.33/27.55 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.33/27.55 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 27.33/27.55 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 27.33/27.55 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 27.33/27.55 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 27.33/27.55 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 27.33/27.55 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 27.33/27.55 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 27.33/27.55 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 27.33/27.55 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 27.33/27.55 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 27.33/27.55 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 27.33/27.55 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 27.33/27.55 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 27.33/27.55 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 27.33/27.55 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 27.33/27.55 (assume a135 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))))
% 27.33/27.55 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 27.33/27.55 (assume a137 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))))
% 27.33/27.55 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 27.33/27.55 (assume a139 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 27.33/27.55 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 27.33/27.55 (assume a141 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))))
% 27.33/27.55 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 27.33/27.55 (assume a143 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))
% 27.33/27.55 (assume a144 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))
% 27.33/27.55 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 27.33/27.55 (assume a146 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 27.33/27.55 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 27.33/27.55 (assume a148 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 27.33/27.55 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 27.33/27.55 (assume a150 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 27.33/27.55 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 27.33/27.55 (assume a152 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))))
% 27.33/27.55 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 27.33/27.55 (assume a154 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 27.33/27.55 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 27.33/27.55 (assume a156 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))
% 27.33/27.55 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 27.33/27.55 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 27.33/27.55 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 27.33/27.55 (assume a160 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))))
% 27.33/27.55 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 27.33/27.55 (assume a162 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))))
% 27.33/27.55 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 27.33/27.55 (assume a164 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))))
% 27.33/27.55 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 27.33/27.55 (assume a166 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))))
% 27.33/27.55 (assume a167 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))
% 27.33/27.55 (assume a168 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))))
% 27.33/27.55 (assume a169 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))))
% 27.33/27.55 (assume a170 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))))
% 27.33/27.55 (assume a171 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 27.33/27.55 (assume a172 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))
% 27.33/27.55 (assume a173 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))))
% 27.33/27.55 (assume a174 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))
% 27.33/27.55 (assume a175 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))))
% 27.33/27.55 (assume a176 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))))
% 27.33/27.55 (assume a177 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))))
% 27.33/27.55 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 27.33/27.55 (assume a179 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))
% 27.33/27.55 (assume a180 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))
% 27.33/27.55 (assume a181 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))))
% 27.33/27.55 (assume a182 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))))
% 27.33/27.55 (assume a183 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))))
% 27.33/27.55 (assume a184 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))))
% 27.33/27.55 (assume a185 (tptp.ssList tptp.sk1))
% 27.33/27.55 (assume a186 (tptp.ssList tptp.sk2))
% 27.33/27.55 (assume a187 (tptp.ssList tptp.sk3))
% 27.33/27.55 (assume a188 (tptp.ssList tptp.sk4))
% 27.33/27.55 (assume a189 (= tptp.sk2 tptp.sk4))
% 27.33/27.55 (assume a190 (= tptp.sk1 tptp.sk3))
% 27.33/27.55 (assume a191 (tptp.segmentP tptp.sk4 tptp.sk3))
% 27.33/27.55 (assume a192 (tptp.ssItem tptp.sk5))
% 27.33/27.55 (assume a193 (tptp.ssList tptp.sk6))
% 27.33/27.55 (assume a194 (tptp.ssList tptp.sk7))
% 27.33/27.55 (assume a195 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk1))
% 27.33/27.55 (assume a196 (tptp.ssItem tptp.sk8))
% 27.33/27.55 (assume a197 (or (tptp.memberP tptp.sk6 tptp.sk8) (tptp.memberP tptp.sk7 tptp.sk8)))
% 27.33/27.55 (assume a198 (or (tptp.memberP tptp.sk6 tptp.sk8) (not (tptp.leq tptp.sk5 tptp.sk8))))
% 27.33/27.55 (assume a199 (or (not (tptp.leq tptp.sk8 tptp.sk5)) (tptp.memberP tptp.sk7 tptp.sk8)))
% 27.33/27.55 (assume a200 (or (not (tptp.leq tptp.sk8 tptp.sk5)) (not (tptp.leq tptp.sk5 tptp.sk8))))
% 27.33/27.55 (assume a201 (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))))
% 27.33/27.55 (step t1 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5)) :rule or_pos)
% 27.33/27.55 (step t2 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.lt tptp.sk8 tptp.sk5) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5)))) :rule reordering :premises (t1))
% 27.33/27.55 (step t3 (cl (not (= (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_pos2)
% 27.33/27.55 (step t4 (cl (= (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule refl)
% 27.33/27.55 (step t5 (cl (= (not (= tptp.nil tptp.sk7)) (not (= tptp.nil tptp.sk7)))) :rule refl)
% 27.33/27.55 (step t6 (cl (= (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule refl)
% 27.33/27.55 (step t7 (cl (= (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule refl)
% 27.33/27.55 (step t8 (cl (= (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule refl)
% 27.33/27.55 (step t9 (cl (= (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule refl)
% 27.33/27.55 (step t10 (cl (= (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule refl)
% 27.33/27.55 (step t11 (cl (= (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule refl)
% 27.33/27.55 (step t12 (cl (= (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule refl)
% 27.33/27.55 (step t13 (cl (= (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule refl)
% 27.33/27.55 (step t14 (cl (= (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule refl)
% 27.33/27.55 (step t15 (cl (= (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule refl)
% 27.33/27.55 (step t16 (cl (= (= (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) true) (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 27.33/27.55 (step t17 (cl (not (= (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) true)) (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv1 :premises (t16))
% 27.33/27.55 (step t18 (cl (= (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) :rule all_simplify)
% 27.33/27.55 (step t19 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 27.33/27.55 (step t20 (cl (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule all_simplify)
% 27.33/27.55 (step t21 (cl (= (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t19 t20))
% 27.33/27.55 (step t22 (cl (= (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) true)) :rule all_simplify)
% 27.33/27.55 (step t23 (cl (= (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) true)) :rule trans :premises (t21 t22))
% 27.33/27.55 (step t24 (cl (= (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) true)) :rule trans :premises (t18 t23))
% 27.33/27.55 (step t25 (cl (= (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t17 t24))
% 27.33/27.55 (step t26 (cl (= (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t25))
% 27.33/27.55 (step t27 (cl (not (= (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) (not (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule equiv_pos2)
% 27.33/27.55 (step t28 (cl (= (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule refl)
% 27.33/27.55 (step t29 (cl (= (= (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) :rule equiv_simplify)
% 27.33/27.55 (step t30 (cl (= (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (not (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) :rule equiv2 :premises (t29))
% 27.33/27.55 (step t31 (cl (not (not (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule not_not)
% 27.33/27.55 (step t32 (cl (= (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t30 t31))
% 27.33/27.55 (step t33 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t34)
% 27.33/27.55 (assume t34.a0 (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.55 (assume t34.a1 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.55 (assume t34.a2 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.55 (assume t34.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.55 (assume t34.a4 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.55 (assume t34.a5 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (assume t34.a6 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.55 (assume t34.a7 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.55 (assume t34.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (assume t34.a9 (= tptp.nil tptp.sk7))
% 27.33/27.55 (assume t34.a10 (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))
% 27.33/27.55 (assume t34.a11 (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))
% 27.33/27.55 (assume t34.a12 (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))
% 27.33/27.55 (step t34.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 27.33/27.55 (step t34.t2 (cl (= (= false true) false)) :rule all_simplify)
% 27.33/27.55 (step t34.t3 (cl (= (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) false) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 27.33/27.55 (step t34.t4 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) false) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv2 :premises (t34.t3))
% 27.33/27.55 (step t34.t5 (cl (not (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule not_not)
% 27.33/27.55 (step t34.t6 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) false) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t34.t4 t34.t5))
% 27.33/27.55 (step t34.t7 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) false)) :rule resolution :premises (t34.t6 t34.a12))
% 27.33/27.55 (step t34.t8 (cl (= false (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule symm :premises (t34.t7))
% 27.33/27.55 (step t34.t9 (cl (= (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) tptp.sk6)) :rule symm :premises (t34.a11))
% 27.33/27.55 (step t34.t10 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule refl)
% 27.33/27.55 (step t34.t11 (cl (= (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t34.t9 t34.t10))
% 27.33/27.55 (step t34.t12 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule symm :premises (t34.a10))
% 27.33/27.55 (step t34.t13 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) :rule symm :premises (t34.t12))
% 27.33/27.55 (step t34.t14 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.55 (step t34.t15 (cl (= tptp.sk7 tptp.nil)) :rule symm :premises (t34.a9))
% 27.33/27.55 (step t34.t16 (cl (= tptp.nil tptp.sk7)) :rule symm :premises (t34.t15))
% 27.33/27.55 (step t34.t17 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule cong :premises (t34.t14 t34.t16))
% 27.33/27.55 (step t34.t18 (cl (= (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule trans :premises (t34.t11 t34.t13 t34.t17))
% 27.33/27.55 (step t34.t19 (cl (= (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t34.t18))
% 27.33/27.55 (step t34.t20 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t34.a8))
% 27.33/27.55 (step t34.t21 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t34.t20))
% 27.33/27.55 (step t34.t22 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t34.a6))
% 27.33/27.55 (step t34.t23 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t34.t22))
% 27.33/27.55 (step t34.t24 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t34.a5))
% 27.33/27.55 (step t34.t25 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule trans :premises (t34.t24 t34.a4))
% 27.33/27.55 (step t34.t26 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t34.t25))
% 27.33/27.55 (step t34.t27 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t34.a4))
% 27.33/27.55 (step t34.t28 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t34.t27))
% 27.33/27.55 (step t34.t29 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t34.t23 t34.t26 t34.t28))
% 27.33/27.55 (step t34.t30 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.33/27.55 (step t34.t31 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule cong :premises (t34.t29 t34.t30))
% 27.33/27.55 (step t34.t32 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t34.a7))
% 27.33/27.55 (step t34.t33 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t34.t32))
% 27.33/27.55 (step t34.t34 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t34.t25))
% 27.33/27.55 (step t34.t35 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t34.a4))
% 27.33/27.55 (step t34.t36 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t34.t35))
% 27.33/27.55 (step t34.t37 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t34.t33 t34.t34 t34.t36))
% 27.33/27.55 (step t34.t38 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t34.t31 t34.t37))
% 27.33/27.55 (step t34.t39 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule refl)
% 27.33/27.55 (step t34.t40 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t34.a3))
% 27.33/27.55 (step t34.t41 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t34.t40))
% 27.33/27.55 (step t34.t42 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t34.t27 t34.t41))
% 27.33/27.55 (step t34.t43 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t34.t42))
% 27.33/27.55 (step t34.t44 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) tptp.nil)) :rule symm :premises (t34.a2))
% 27.33/27.55 (step t34.t45 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) :rule trans :premises (t34.t35 t34.t43 t34.t44))
% 27.33/27.55 (step t34.t46 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule cong :premises (t34.t39 t34.t45))
% 27.33/27.55 (step t34.t47 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t34.a1))
% 27.33/27.55 (step t34.t48 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t34.a5 t34.t21 t34.t38 t34.t46 t34.t47))
% 27.33/27.55 (step t34.t49 (cl (= (tptp.strictorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t34.t48))
% 27.33/27.55 (step t34.t50 (cl (= (= (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv_simplify)
% 27.33/27.55 (step t34.t51 (cl (= (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv2 :premises (t34.t50))
% 27.33/27.55 (step t34.t52 (cl (= (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true)) :rule resolution :premises (t34.t51 t34.a0))
% 27.33/27.55 (step t34.t53 (cl (= false true)) :rule trans :premises (t34.t8 t34.t19 t34.t49 t34.t52))
% 27.33/27.55 (step t34.t54 (cl false) :rule resolution :premises (t34.t1 t34.t2 t34.t53))
% 27.33/27.55 (step t34 (cl (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) :rule subproof :discharge (t34.a0 t34.a1 t34.a2 t34.a3 t34.a4 t34.a5 t34.a6 t34.a7 t34.a8 t34.a9 t34.a10 t34.a11 t34.a12))
% 27.33/27.55 (step t35 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t36 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t37 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.55 (step t38 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t39 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t40 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.55 (step t41 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.55 (step t42 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.55 (step t43 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.55 (step t44 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 27.33/27.55 (step t45 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t46 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) :rule and_pos)
% 27.33/27.55 (step t47 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 27.33/27.55 (step t48 (cl false (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t34 t35 t36 t37 t38 t39 t40 t41 t42 t43 t44 t45 t46 t47))
% 27.33/27.55 (step t49 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) false) :rule reordering :premises (t48))
% 27.33/27.55 (step t50 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) false) :rule contraction :premises (t49))
% 27.33/27.55 (step t51 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) false) :rule resolution :premises (t33 t50))
% 27.33/27.55 (step t52 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (not false)) :rule implies_neg2)
% 27.33/27.55 (step t53 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false)) :rule resolution :premises (t51 t52))
% 27.33/27.55 (step t54 (cl (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false)) :rule contraction :premises (t53))
% 27.33/27.55 (step t55 (cl (= (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) :rule implies_simplify)
% 27.33/27.55 (step t56 (cl (not (=> (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false)) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule equiv1 :premises (t55))
% 27.33/27.55 (step t57 (cl (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t54 t56))
% 27.33/27.55 (step t58 (cl (= (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false)) :rule resolution :premises (t32 t57))
% 27.33/27.55 (step t59 (cl (= (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false))) :rule cong :premises (t28 t58))
% 27.33/27.55 (step t60 (cl (= (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) false) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) :rule all_simplify)
% 27.33/27.55 (step t61 (cl (= (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))))) :rule trans :premises (t59 t60))
% 27.33/27.55 (step t62 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t63)
% 27.33/27.55 (assume t63.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.55 (assume t63.a1 (= tptp.nil tptp.sk7))
% 27.33/27.55 (assume t63.a2 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.55 (assume t63.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (assume t63.a4 (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))
% 27.33/27.55 (assume t63.a5 (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.55 (assume t63.a6 (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))
% 27.33/27.55 (assume t63.a7 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.55 (assume t63.a8 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.55 (assume t63.a9 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.55 (assume t63.a10 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (assume t63.a11 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.55 (assume t63.a12 (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))
% 27.33/27.55 (step t63.t1 (cl (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule and_neg)
% 27.33/27.55 (step t63.t2 (cl (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t63.t1 t63.a5 t63.a11 t63.a7 t63.a2 t63.a0 t63.a3 t63.a9 t63.a8 t63.a10 t63.a1 t63.a6 t63.a4 t63.a12))
% 27.33/27.55 (step t63 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule subproof :discharge (t63.a0 t63.a1 t63.a2 t63.a3 t63.a4 t63.a5 t63.a6 t63.a7 t63.a8 t63.a9 t63.a10 t63.a11 t63.a12))
% 27.33/27.55 (step t64 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t65 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 27.33/27.55 (step t66 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t67 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.55 (step t68 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) :rule and_pos)
% 27.33/27.55 (step t69 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t70 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t71 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.55 (step t72 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.55 (step t73 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.55 (step t74 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.55 (step t75 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.55 (step t76 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 27.33/27.55 (step t77 (cl (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t63 t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76))
% 27.33/27.55 (step t78 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t77))
% 27.33/27.55 (step t79 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t78))
% 27.33/27.55 (step t80 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t62 t79))
% 27.33/27.55 (step t81 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule implies_neg2)
% 27.33/27.55 (step t82 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t80 t81))
% 27.33/27.55 (step t83 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) (and (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil tptp.sk7) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule contraction :premises (t82))
% 27.33/27.55 (step t84 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= tptp.nil tptp.sk7) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t27 t61 t83))
% 27.33/27.55 (step t85 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) :rule not_and :premises (t84))
% 27.33/27.55 (step t86 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule or_neg)
% 27.33/27.55 (step t87 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= tptp.nil tptp.sk7)))) :rule or_neg)
% 27.33/27.55 (step t88 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule or_neg)
% 27.33/27.55 (step t89 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule or_neg)
% 27.33/27.55 (step t90 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule or_neg)
% 27.33/27.55 (step t91 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule or_neg)
% 27.33/27.55 (step t92 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule or_neg)
% 27.33/27.55 (step t93 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule or_neg)
% 27.33/27.55 (step t94 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule or_neg)
% 27.33/27.55 (step t95 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule or_neg)
% 27.33/27.55 (step t96 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule or_neg)
% 27.33/27.55 (step t97 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule or_neg)
% 27.33/27.55 (step t98 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule or_neg)
% 27.33/27.55 (step t99 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t85 t86 t87 t88 t89 t90 t91 t92 t93 t94 t95 t96 t97 t98))
% 27.33/27.55 (step t100 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))))) :rule contraction :premises (t99))
% 27.33/27.55 (step t101 (cl (or (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t3 t26 t100))
% 27.33/27.55 (step t102 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t101))
% 27.33/27.55 (step t103 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule reordering :premises (t102))
% 27.33/27.55 (step t104 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t105 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule reordering :premises (t104))
% 27.33/27.55 (step t106 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or_pos)
% 27.33/27.55 (step t107 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule reordering :premises (t106))
% 27.33/27.55 (step t108 (cl (not (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.sk1)) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule equiv_pos2)
% 27.33/27.55 (step t109 (cl (and (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 27.33/27.55 (step t110 (cl (not (= (= tptp.sk1 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.sk1 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule equiv_pos2)
% 27.33/27.55 (step t111 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 27.33/27.55 (step t112 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t111 a190 a189))
% 27.33/27.55 (step t113 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t112))
% 27.33/27.55 (step t114 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule refl)
% 27.33/27.55 (step t115 (cl (= (= tptp.sk1 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t113 t114))
% 27.33/27.55 (step t116 (cl (= tptp.sk1 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (a195))
% 27.33/27.55 (step t117 (cl (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t110 t115 t116))
% 27.33/27.55 (step t118 (cl (and (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t109 t117 a190 a189))
% 27.33/27.55 (step t119 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t118))
% 27.33/27.55 (step t120 (cl (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and :premises (t118))
% 27.33/27.55 (step t121 (cl (= tptp.sk1 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule trans :premises (t119 t120))
% 27.33/27.55 (step t122 (cl (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t121))
% 27.33/27.55 (step t123 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t108 t122 a185))
% 27.33/27.55 (step t124 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 27.33/27.55 (step t125 (cl (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t124))
% 27.33/27.55 (step t126 (cl (not (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t127 (cl (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t126))
% 27.33/27.55 (step t128 (cl (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t129 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t128))
% 27.33/27.55 (step t130 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t131)
% 27.33/27.55 (assume t131.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 27.33/27.55 (step t131.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 27.33/27.55 (step t131.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t131.t1))
% 27.33/27.55 (step t131.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t131.t2 t131.a0))
% 27.33/27.55 (step t131 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t131.a0))
% 27.33/27.55 (step t132 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t130 t131))
% 27.33/27.55 (step t133 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.55 (step t134 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t132 t133))
% 27.33/27.55 (step t135 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t134))
% 27.33/27.55 (step t136 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t135))
% 27.33/27.55 (step t137 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t136 a85))
% 27.33/27.55 (step t138 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t129 a7 a192 t137))
% 27.33/27.55 (step t139 (cl (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t140 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t139))
% 27.33/27.55 (step t141 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t142)
% 27.33/27.55 (assume t142.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 27.33/27.55 (step t142.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 27.33/27.55 (step t142.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t142.t1))
% 27.33/27.55 (step t142.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t142.t2 t142.a0))
% 27.33/27.55 (step t142 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t142.a0))
% 27.33/27.55 (step t143 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t141 t142))
% 27.33/27.55 (step t144 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 27.33/27.55 (step t145 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t143 t144))
% 27.33/27.55 (step t146 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t145))
% 27.33/27.55 (step t147 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t146))
% 27.33/27.55 (step t148 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t149 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.55 (step t149.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t149.t2 (cl (= V V)) :rule refl)
% 27.33/27.55 (step t149.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 27.33/27.55 (step t149.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t149.t3))
% 27.33/27.55 (step t149.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.33/27.55 (step t149.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.55 (step t149.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t149.t4 t149.t5 t149.t6))
% 27.33/27.55 (step t149 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 27.33/27.55 (step t150 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t148 t149 a97))
% 27.33/27.55 (step t151 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t147 t150))
% 27.33/27.55 (step t152 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t140 a7 a192 t151))
% 27.33/27.55 (step t153 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t154)
% 27.33/27.55 (assume t154.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 27.33/27.55 (step t154.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.55 (step t154.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t154.t1))
% 27.33/27.55 (step t154.t3 (cl (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t154.t2 t154.a0))
% 27.33/27.55 (step t154 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t154.a0))
% 27.33/27.55 (step t155 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t153 t154))
% 27.33/27.55 (step t156 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.55 (step t157 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t155 t156))
% 27.33/27.55 (step t158 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t157))
% 27.33/27.55 (step t159 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t158))
% 27.33/27.55 (step t160 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t161 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.55 (step t161.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t161.t2 (cl (= V V)) :rule refl)
% 27.33/27.55 (step t161.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 27.33/27.55 (step t161.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t161.t3))
% 27.33/27.55 (step t161.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.55 (step t161.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.55 (step t161.t7 (cl (= (= tptp.nil V) (= tptp.nil V))) :rule refl)
% 27.33/27.55 (step t161.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule cong :premises (t161.t4 t161.t5 t161.t6 t161.t7))
% 27.33/27.55 (step t161 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) :rule bind)
% 27.33/27.55 (step t162 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule resolution :premises (t160 t161 a118))
% 27.33/27.55 (step t163 (cl (or (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t159 t162))
% 27.33/27.55 (step t164 (cl (not (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t127 a193 t138 t152 t163))
% 27.33/27.55 (step t165 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 27.33/27.55 (step t166 (cl (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t165))
% 27.33/27.55 (step t167 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t168)
% 27.33/27.55 (assume t168.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 27.33/27.55 (step t168.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil)) (:= V tptp.sk6)))
% 27.33/27.55 (step t168.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t168.t1))
% 27.33/27.55 (step t168.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t168.t2 t168.a0))
% 27.33/27.55 (step t168 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t168.a0))
% 27.33/27.55 (step t169 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t167 t168))
% 27.33/27.55 (step t170 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 27.33/27.55 (step t171 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t169 t170))
% 27.33/27.55 (step t172 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t171))
% 27.33/27.55 (step t173 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t172))
% 27.33/27.55 (step t174 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t173 a84))
% 27.33/27.55 (step t175 (cl (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t166 a193 t138 t174))
% 27.33/27.55 (step t176 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t177)
% 27.33/27.55 (assume t177.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.33/27.55 (step t177.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk7)))
% 27.33/27.55 (step t177.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t177.t1))
% 27.33/27.55 (step t177.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t177.t2 t177.a0))
% 27.33/27.55 (step t177 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t177.a0))
% 27.33/27.55 (step t178 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t176 t177))
% 27.33/27.55 (step t179 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 27.33/27.55 (step t180 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t178 t179))
% 27.33/27.55 (step t181 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t180))
% 27.33/27.55 (step t182 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t181))
% 27.33/27.55 (step t183 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t184 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.55 (step t184.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t184.t2 (cl (= V V)) :rule refl)
% 27.33/27.55 (step t184.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 27.33/27.55 (step t184.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t184.t3))
% 27.33/27.55 (step t184.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.55 (step t184.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.55 (step t184.t7 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 27.33/27.55 (step t184.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule cong :premises (t184.t4 t184.t5 t184.t6 t184.t7))
% 27.33/27.55 (step t184 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) :rule bind)
% 27.33/27.55 (step t185 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule resolution :premises (t183 t184 a117))
% 27.33/27.55 (step t186 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t182 t185))
% 27.33/27.55 (step t187 (cl (not (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t125 a194 t164 t175 t186))
% 27.33/27.55 (step t188 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t189)
% 27.33/27.55 (assume t189.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.33/27.55 (step t189.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.55 (step t189.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or :premises (t189.t1))
% 27.33/27.55 (step t189.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t189.t2 t189.a0))
% 27.33/27.55 (step t189 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule subproof :discharge (t189.a0))
% 27.33/27.55 (step t190 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t188 t189))
% 27.33/27.55 (step t191 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.55 (step t192 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t190 t191))
% 27.33/27.55 (step t193 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t192))
% 27.33/27.55 (step t194 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies :premises (t193))
% 27.33/27.55 (step t195 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t194 a75))
% 27.33/27.55 (step t196 (cl (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t107 t123 t187 t195))
% 27.33/27.55 (step t197 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule equiv_pos2)
% 27.33/27.55 (step t198 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 27.33/27.55 (step t199 (cl (= (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule refl)
% 27.33/27.55 (step t200 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 27.33/27.55 (step t201 (cl (= (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule all_simplify)
% 27.33/27.55 (step t202 (cl (= (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule cong :premises (t199 t200 t201))
% 27.33/27.55 (step t203 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))))) :rule cong :premises (t198 t202))
% 27.33/27.55 (step t204 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t205)
% 27.33/27.55 (assume t205.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.33/27.55 (step t205.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V tptp.nil)))
% 27.33/27.55 (step t205.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or :premises (t205.t1))
% 27.33/27.55 (step t205.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t205.t2 t205.a0))
% 27.33/27.55 (step t205 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule subproof :discharge (t205.a0))
% 27.33/27.55 (step t206 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t204 t205))
% 27.33/27.55 (step t207 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies_neg2)
% 27.33/27.55 (step t208 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t206 t207))
% 27.33/27.55 (step t209 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule contraction :premises (t208))
% 27.33/27.55 (step t210 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule resolution :premises (t197 t203 t209))
% 27.33/27.55 (step t211 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule implies :premises (t210))
% 27.33/27.55 (step t212 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule resolution :premises (t211 a119))
% 27.33/27.55 (step t213 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule resolution :premises (t105 a7 t196 t212))
% 27.33/27.55 (step t214 (cl (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or_pos)
% 27.33/27.55 (step t215 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule reordering :premises (t214))
% 27.33/27.55 (step t216 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t217)
% 27.33/27.55 (assume t217.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 27.33/27.55 (step t217.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.55 (step t217.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or :premises (t217.t1))
% 27.33/27.55 (step t217.t3 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t217.t2 t217.a0))
% 27.33/27.55 (step t217 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule subproof :discharge (t217.a0))
% 27.33/27.55 (step t218 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t216 t217))
% 27.33/27.55 (step t219 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.55 (step t220 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t218 t219))
% 27.33/27.55 (step t221 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t220))
% 27.33/27.55 (step t222 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies :premises (t221))
% 27.33/27.55 (step t223 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t222 a46))
% 27.33/27.55 (step t224 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t225)
% 27.33/27.55 (assume t225.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 27.33/27.55 (step t225.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V tptp.nil)))
% 27.33/27.55 (step t225.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule or :premises (t225.t1))
% 27.33/27.55 (step t225.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t225.t2 t225.a0))
% 27.33/27.55 (step t225 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule subproof :discharge (t225.a0))
% 27.33/27.55 (step t226 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t224 t225))
% 27.33/27.55 (step t227 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule implies_neg2)
% 27.33/27.55 (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule resolution :premises (t226 t227))
% 27.33/27.55 (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule contraction :premises (t228))
% 27.33/27.55 (step t230 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies :premises (t229))
% 27.33/27.55 (step t231 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t232 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.55 (step t232.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t232.t2 (cl (= V V)) :rule refl)
% 27.33/27.55 (step t232.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.33/27.55 (step t232.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.55 (step t232.t5 (cl (= (= (tptp.tl (tptp.cons U V)) V) (= V (tptp.tl (tptp.cons U V))))) :rule all_simplify)
% 27.33/27.55 (step t232.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule cong :premises (t232.t3 t232.t4 t232.t5))
% 27.33/27.55 (step t232 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) :rule bind)
% 27.33/27.55 (step t233 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule resolution :premises (t231 t232 a95))
% 27.33/27.55 (step t234 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t230 t233))
% 27.33/27.55 (step t235 (cl (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t215 a7 t223 t234))
% 27.33/27.55 (step t236 (cl (not (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t237 (cl (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)) (not (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule reordering :premises (t236))
% 27.33/27.55 (step t238 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t239)
% 27.33/27.55 (assume t239.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 27.33/27.55 (step t239.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))))
% 27.33/27.55 (step t239.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) :rule or :premises (t239.t1))
% 27.33/27.55 (step t239.t3 (cl (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) :rule resolution :premises (t239.t2 t239.a0))
% 27.33/27.55 (step t239 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) :rule subproof :discharge (t239.a0))
% 27.33/27.55 (step t240 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) :rule resolution :premises (t238 t239))
% 27.33/27.55 (step t241 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) (not (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule implies_neg2)
% 27.33/27.55 (step t242 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule resolution :premises (t240 t241))
% 27.33/27.55 (step t243 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))))) :rule contraction :premises (t242))
% 27.33/27.55 (step t244 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) :rule implies :premises (t243))
% 27.33/27.55 (step t245 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t246 :args ((U $$unsorted) (:= U U)))
% 27.33/27.55 (step t246.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t246.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.55 (step t246.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 27.33/27.55 (step t246.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule cong :premises (t246.t2 t246.t3))
% 27.33/27.55 (step t246 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) :rule bind)
% 27.33/27.55 (step t247 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t245 t246 a72))
% 27.33/27.55 (step t248 (cl (or (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil)))) :rule resolution :premises (t244 t247))
% 27.33/27.55 (step t249 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.nil))) :rule resolution :premises (t237 t175 t248))
% 27.33/27.55 (step t250 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t251 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule reordering :premises (t250))
% 27.33/27.55 (step t252 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t253)
% 27.33/27.55 (assume t253.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 27.33/27.55 (step t253.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (step t253.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or :premises (t253.t1))
% 27.33/27.55 (step t253.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t253.t2 t253.a0))
% 27.33/27.55 (step t253 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule subproof :discharge (t253.a0))
% 27.33/27.55 (step t254 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t252 t253))
% 27.33/27.55 (step t255 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies_neg2)
% 27.33/27.55 (step t256 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t254 t255))
% 27.33/27.55 (step t257 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule contraction :premises (t256))
% 27.33/27.55 (step t258 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule implies :premises (t257))
% 27.33/27.55 (step t259 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t258 a65))
% 27.33/27.55 (step t260 (cl (tptp.strictorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule resolution :premises (t251 t196 t259))
% 27.33/27.55 (step t261 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule or_pos)
% 27.33/27.55 (step t262 (cl (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule reordering :premises (t261))
% 27.33/27.55 (step t263 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t264)
% 27.33/27.55 (assume t264.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 27.33/27.55 (step t264.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.55 (step t264.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or :premises (t264.t1))
% 27.33/27.55 (step t264.t3 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t264.t2 t264.a0))
% 27.33/27.55 (step t264 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule subproof :discharge (t264.a0))
% 27.33/27.55 (step t265 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t263 t264))
% 27.33/27.55 (step t266 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.55 (step t267 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t265 t266))
% 27.33/27.55 (step t268 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t267))
% 27.33/27.55 (step t269 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies :premises (t268))
% 27.33/27.55 (step t270 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t269 a11))
% 27.33/27.55 (step t271 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t272)
% 27.33/27.55 (assume t272.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 27.33/27.55 (step t272.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.55 (step t272.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or :premises (t272.t1))
% 27.33/27.55 (step t272.t3 (cl (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t272.t2 t272.a0))
% 27.33/27.55 (step t272 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule subproof :discharge (t272.a0))
% 27.33/27.55 (step t273 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t271 t272))
% 27.33/27.55 (step t274 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.55 (step t275 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t273 t274))
% 27.33/27.55 (step t276 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t275))
% 27.33/27.55 (step t277 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies :premises (t276))
% 27.33/27.55 (step t278 (cl (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t277 a12))
% 27.33/27.55 (step t279 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule equiv_pos2)
% 27.33/27.55 (step t280 (cl (= (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule refl)
% 27.33/27.55 (step t281 (cl (= (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule refl)
% 27.33/27.55 (step t282 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule all_simplify)
% 27.33/27.55 (step t283 (cl (= (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule cong :premises (t280 t281 t282))
% 27.33/27.55 (step t284 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule cong :premises (t198 t283))
% 27.33/27.55 (step t285 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t286)
% 27.33/27.55 (assume t286.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.33/27.55 (step t286.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (step t286.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule or :premises (t286.t1))
% 27.33/27.55 (step t286.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t286.t2 t286.a0))
% 27.33/27.55 (step t286 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule subproof :discharge (t286.a0))
% 27.33/27.55 (step t287 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t285 t286))
% 27.33/27.55 (step t288 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule implies_neg2)
% 27.33/27.55 (step t289 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t287 t288))
% 27.33/27.55 (step t290 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule contraction :premises (t289))
% 27.33/27.55 (step t291 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t279 t284 t290))
% 27.33/27.55 (step t292 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule implies :premises (t291))
% 27.33/27.55 (step t293 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t292 a119))
% 27.33/27.55 (step t294 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t262 t270 t278 t293))
% 27.33/27.55 (step t295 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule or_pos)
% 27.33/27.55 (step t296 (cl (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule reordering :premises (t295))
% 27.33/27.55 (step t297 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t298)
% 27.33/27.55 (assume t298.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 27.33/27.55 (step t298.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (step t298.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule or :premises (t298.t1))
% 27.33/27.55 (step t298.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t298.t2 t298.a0))
% 27.33/27.55 (step t298 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule subproof :discharge (t298.a0))
% 27.33/27.55 (step t299 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t297 t298))
% 27.33/27.55 (step t300 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule implies_neg2)
% 27.33/27.55 (step t301 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule resolution :premises (t299 t300))
% 27.33/27.55 (step t302 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule contraction :premises (t301))
% 27.33/27.55 (step t303 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule implies :premises (t302))
% 27.33/27.55 (step t304 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t305 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.55 (step t305.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t305.t2 (cl (= V V)) :rule refl)
% 27.33/27.55 (step t305.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.33/27.55 (step t305.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.55 (step t305.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 27.33/27.55 (step t305.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t305.t3 t305.t4 t305.t5))
% 27.33/27.55 (step t305 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 27.33/27.55 (step t306 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t304 t305 a96))
% 27.33/27.55 (step t307 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t303 t306))
% 27.33/27.55 (step t308 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t296 t270 t278 t307))
% 27.33/27.55 (step t309 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule or_pos)
% 27.33/27.55 (step t310 (cl (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule reordering :premises (t309))
% 27.33/27.55 (step t311 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t312)
% 27.33/27.55 (assume t312.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 27.33/27.55 (step t312.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.55 (step t312.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule or :premises (t312.t1))
% 27.33/27.55 (step t312.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t312.t2 t312.a0))
% 27.33/27.55 (step t312 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule subproof :discharge (t312.a0))
% 27.33/27.55 (step t313 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t311 t312))
% 27.33/27.55 (step t314 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule implies_neg2)
% 27.33/27.55 (step t315 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule resolution :premises (t313 t314))
% 27.33/27.55 (step t316 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))))) :rule contraction :premises (t315))
% 27.33/27.55 (step t317 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule implies :premises (t316))
% 27.33/27.55 (step t318 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t317 t233))
% 27.33/27.55 (step t319 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t310 t270 t278 t318))
% 27.33/27.55 (step t320 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or_pos)
% 27.33/27.55 (step t321 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule reordering :premises (t320))
% 27.33/27.55 (step t322 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t323)
% 27.33/27.55 (assume t323.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 27.33/27.55 (step t323.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.55 (step t323.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or :premises (t323.t1))
% 27.33/27.55 (step t323.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t323.t2 t323.a0))
% 27.33/27.55 (step t323 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule subproof :discharge (t323.a0))
% 27.33/27.55 (step t324 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t322 t323))
% 27.33/27.55 (step t325 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.55 (step t326 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t324 t325))
% 27.33/27.55 (step t327 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t326))
% 27.33/27.55 (step t328 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies :premises (t327))
% 27.33/27.55 (step t329 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 27.33/27.55 (anchor :step t330 :args ((U $$unsorted) (:= U U)))
% 27.33/27.55 (step t330.t1 (cl (= U U)) :rule refl)
% 27.33/27.55 (step t330.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.55 (step t330.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 27.33/27.55 (step t330.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 27.33/27.55 (step t330.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule cong :premises (t330.t2 t330.t3 t330.t4))
% 27.33/27.55 (step t330 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 27.33/27.55 (step t331 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t329 t330 a108))
% 27.33/27.55 (step t332 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t328 t331))
% 27.33/27.55 (step t333 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t321 t123 t187 t332))
% 27.33/27.55 (step t334 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule or_pos)
% 27.33/27.55 (step t335 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule reordering :premises (t334))
% 27.33/27.55 (step t336 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 27.33/27.55 (anchor :step t337)
% 27.33/27.55 (assume t337.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 27.33/27.55 (step t337.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.55 (step t337.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule or :premises (t337.t1))
% 27.33/27.55 (step t337.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t337.t2 t337.a0))
% 27.33/27.56 (step t337 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule subproof :discharge (t337.a0))
% 27.33/27.56 (step t338 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t336 t337))
% 27.33/27.56 (step t339 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t340 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule resolution :premises (t338 t339))
% 27.33/27.56 (step t341 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule contraction :premises (t340))
% 27.33/27.56 (step t342 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies :premises (t341))
% 27.33/27.56 (step t343 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t342 t247))
% 27.33/27.56 (step t344 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t335 t123 t343))
% 27.33/27.56 (step t345 (cl (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)) :rule or_pos)
% 27.33/27.56 (step t346 (cl (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule reordering :premises (t345))
% 27.33/27.56 (step t347 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t348)
% 27.33/27.56 (assume t348.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 27.33/27.56 (step t348.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 27.33/27.56 (step t348.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule or :premises (t348.t1))
% 27.33/27.56 (step t348.t3 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t348.t2 t348.a0))
% 27.33/27.56 (step t348 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule subproof :discharge (t348.a0))
% 27.33/27.56 (step t349 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t347 t348))
% 27.33/27.56 (step t350 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule implies_neg2)
% 27.33/27.56 (step t351 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule resolution :premises (t349 t350))
% 27.33/27.56 (step t352 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule contraction :premises (t351))
% 27.33/27.56 (step t353 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule implies :premises (t352))
% 27.33/27.56 (step t354 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t353 t331))
% 27.33/27.56 (step t355 (cl (not (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule or_pos)
% 27.33/27.56 (step t356 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))))) :rule reordering :premises (t355))
% 27.33/27.56 (step t357 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t358)
% 27.33/27.56 (assume t358.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 27.33/27.56 (step t358.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 27.33/27.56 (step t358.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule or :premises (t358.t1))
% 27.33/27.56 (step t358.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t358.t2 t358.a0))
% 27.33/27.56 (step t358 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule subproof :discharge (t358.a0))
% 27.33/27.56 (step t359 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t357 t358))
% 27.33/27.56 (step t360 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule implies_neg2)
% 27.33/27.56 (step t361 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule resolution :premises (t359 t360))
% 27.33/27.56 (step t362 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule contraction :premises (t361))
% 27.33/27.56 (step t363 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule implies :premises (t362))
% 27.33/27.56 (step t364 (cl (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t363 a11))
% 27.33/27.56 (step t365 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t366)
% 27.33/27.56 (assume t366.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 27.33/27.56 (step t366.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 27.33/27.56 (step t366.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule or :premises (t366.t1))
% 27.33/27.56 (step t366.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t366.t2 t366.a0))
% 27.33/27.56 (step t366 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule subproof :discharge (t366.a0))
% 27.33/27.56 (step t367 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t365 t366))
% 27.33/27.56 (step t368 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule implies_neg2)
% 27.33/27.56 (step t369 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule resolution :premises (t367 t368))
% 27.33/27.56 (step t370 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule contraction :premises (t369))
% 27.33/27.56 (step t371 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule implies :premises (t370))
% 27.33/27.56 (step t372 (cl (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t371 a12))
% 27.33/27.56 (step t373 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t374)
% 27.33/27.56 (assume t374.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))
% 27.33/27.56 (step t374.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V (tptp.skaf83 tptp.sk7)) (:= W tptp.sk6) (:= X tptp.nil) (:= Y (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (step t374.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule or :premises (t374.t1))
% 27.33/27.56 (step t374.t3 (cl (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule resolution :premises (t374.t2 t374.a0))
% 27.33/27.56 (step t374 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule subproof :discharge (t374.a0))
% 27.33/27.56 (step t375 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule resolution :premises (t373 t374))
% 27.33/27.56 (step t376 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) (not (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))))) :rule implies_neg2)
% 27.33/27.56 (step t377 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))))) :rule resolution :premises (t375 t376))
% 27.33/27.56 (step t378 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))))) :rule contraction :premises (t377))
% 27.33/27.56 (step t379 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule implies :premises (t378))
% 27.33/27.56 (step t380 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) :rule equiv_pos2)
% 27.33/27.56 (anchor :step t381 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y) (Z $$unsorted) (:= Z Z)))
% 27.33/27.56 (step t381.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t381.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t381.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t381.t4 (cl (= X X)) :rule refl)
% 27.33/27.56 (step t381.t5 (cl (= Y Y)) :rule refl)
% 27.33/27.56 (step t381.t6 (cl (= Z Z)) :rule refl)
% 27.33/27.56 (step t381.t7 (cl (= (not (tptp.leq U V)) (not (tptp.leq U V)))) :rule refl)
% 27.33/27.56 (step t381.t8 (cl (= (not (tptp.leq V U)) (not (tptp.leq V U)))) :rule refl)
% 27.33/27.56 (step t381.t9 (cl (= (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z) (= Z (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))) :rule all_simplify)
% 27.33/27.56 (step t381.t10 (cl (= (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (= Z (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) :rule cong :premises (t381.t9))
% 27.33/27.56 (step t381.t11 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.33/27.56 (step t381.t12 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.33/27.56 (step t381.t13 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.56 (step t381.t14 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.56 (step t381.t15 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.33/27.56 (step t381.t16 (cl (= (not (tptp.cyclefreeP Z)) (not (tptp.cyclefreeP Z)))) :rule refl)
% 27.33/27.56 (step t381.t17 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 27.33/27.56 (step t381.t18 (cl (= (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z))) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= Z (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z))))) :rule cong :premises (t381.t7 t381.t8 t381.t10 t381.t11 t381.t12 t381.t13 t381.t14 t381.t15 t381.t16 t381.t17))
% 27.33/27.56 (step t381 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= Z (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))))) :rule bind)
% 27.33/27.56 (step t382 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= Z (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) :rule all_simplify)
% 27.33/27.56 (anchor :step t383 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.33/27.56 (step t383.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t383.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t383.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t383.t4 (cl (= X X)) :rule refl)
% 27.33/27.56 (step t383.t5 (cl (= Y Y)) :rule refl)
% 27.33/27.56 (step t383.t6 (cl (= (not (tptp.leq U V)) (not (tptp.leq U V)))) :rule refl)
% 27.33/27.56 (step t383.t7 (cl (= (not (tptp.leq V U)) (not (tptp.leq V U)))) :rule refl)
% 27.33/27.56 (step t383.t8 (cl (= (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))) true)) :rule all_simplify)
% 27.33/27.56 (step t383.t9 (cl (= (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not true))) :rule cong :premises (t383.t8))
% 27.33/27.56 (step t383.t10 (cl (= (not true) false)) :rule all_simplify)
% 27.33/27.56 (step t383.t11 (cl (= (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) false)) :rule trans :premises (t383.t9 t383.t10))
% 27.33/27.56 (step t383.t12 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.33/27.56 (step t383.t13 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.33/27.56 (step t383.t14 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.56 (step t383.t15 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.56 (step t383.t16 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.33/27.56 (step t383.t17 (cl (= (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) :rule refl)
% 27.33/27.56 (step t383.t18 (cl (= (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) :rule refl)
% 27.33/27.56 (step t383.t19 (cl (= (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))) (or (not (tptp.leq U V)) (not (tptp.leq V U)) false (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) :rule cong :premises (t383.t6 t383.t7 t383.t11 t383.t12 t383.t13 t383.t14 t383.t15 t383.t16 t383.t17 t383.t18))
% 27.33/27.56 (step t383.t20 (cl (= (or (not (tptp.leq U V)) (not (tptp.leq V U)) false (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) :rule all_simplify)
% 27.33/27.56 (step t383.t21 (cl (= (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) :rule trans :premises (t383.t19 t383.t20))
% 27.33/27.56 (step t383 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) :rule bind)
% 27.33/27.56 (step t384 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= Z (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) :rule trans :premises (t382 t383))
% 27.33/27.56 (step t385 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) :rule trans :premises (t381 t384))
% 27.33/27.56 (step t386 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) :rule resolution :premises (t380 t385 a184))
% 27.33/27.56 (step t387 (cl (or (not (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) (not (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule resolution :premises (t379 t386))
% 27.33/27.56 (step t388 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)) :rule or_pos)
% 27.33/27.56 (step t389 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)))) :rule reordering :premises (t388))
% 27.33/27.56 (step t390 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t391)
% 27.33/27.56 (assume t391.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))
% 27.33/27.56 (step t391.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.skaf83 tptp.sk7)) (:= W (tptp.skaf82 tptp.sk7)) (:= X tptp.sk5) (:= Y tptp.nil)))
% 27.33/27.56 (step t391.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) :rule or :premises (t391.t1))
% 27.33/27.56 (step t391.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) :rule resolution :premises (t391.t2 t391.a0))
% 27.33/27.56 (step t391 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) :rule subproof :discharge (t391.a0))
% 27.33/27.56 (step t392 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) :rule resolution :premises (t390 t391))
% 27.33/27.56 (step t393 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)))) :rule implies_neg2)
% 27.33/27.56 (step t394 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)))) :rule resolution :premises (t392 t393))
% 27.33/27.56 (step t395 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5)))) :rule contraction :premises (t394))
% 27.33/27.56 (step t396 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) :rule implies :premises (t395))
% 27.33/27.56 (step t397 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule equiv_pos2)
% 27.33/27.56 (anchor :step t398 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y) (Z $$unsorted) (:= Z Z)))
% 27.33/27.56 (step t398.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t398.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t398.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t398.t4 (cl (= X X)) :rule refl)
% 27.33/27.56 (step t398.t5 (cl (= Y Y)) :rule refl)
% 27.33/27.56 (step t398.t6 (cl (= Z Z)) :rule refl)
% 27.33/27.56 (step t398.t7 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z) (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))))) :rule all_simplify)
% 27.33/27.56 (step t398.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule cong :premises (t398.t7))
% 27.33/27.56 (step t398.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.33/27.56 (step t398.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.56 (step t398.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.56 (step t398.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 27.33/27.56 (step t398.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.56 (step t398.t14 (cl (= (not (tptp.totalorderedP Z)) (not (tptp.totalorderedP Z)))) :rule refl)
% 27.33/27.56 (step t398.t15 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 27.33/27.56 (step t398.t16 (cl (= (tptp.leq V X) (tptp.leq V X))) :rule refl)
% 27.33/27.56 (step t398.t17 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X)))) :rule cong :premises (t398.t8 t398.t9 t398.t10 t398.t11 t398.t12 t398.t13 t398.t14 t398.t15 t398.t16))
% 27.33/27.56 (step t398 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))))) :rule bind)
% 27.33/27.56 (step t399 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule all_simplify)
% 27.33/27.56 (anchor :step t400 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.33/27.56 (step t400.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t400.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t400.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t400.t4 (cl (= X X)) :rule refl)
% 27.33/27.56 (step t400.t5 (cl (= Y Y)) :rule refl)
% 27.33/27.56 (step t400.t6 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))) true)) :rule all_simplify)
% 27.33/27.56 (step t400.t7 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not true))) :rule cong :premises (t400.t6))
% 27.33/27.56 (step t400.t8 (cl (= (not true) false)) :rule all_simplify)
% 27.33/27.56 (step t400.t9 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) false)) :rule trans :premises (t400.t7 t400.t8))
% 27.33/27.56 (step t400.t10 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.33/27.56 (step t400.t11 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.56 (step t400.t12 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.56 (step t400.t13 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 27.33/27.56 (step t400.t14 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.56 (step t400.t15 (cl (= (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 27.33/27.56 (step t400.t16 (cl (= (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 27.33/27.56 (step t400.t17 (cl (= (tptp.leq V X) (tptp.leq V X))) :rule refl)
% 27.33/27.56 (step t400.t18 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)) (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule cong :premises (t400.t9 t400.t10 t400.t11 t400.t12 t400.t13 t400.t14 t400.t15 t400.t16 t400.t17))
% 27.33/27.56 (step t400.t19 (cl (= (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule all_simplify)
% 27.33/27.56 (step t400.t20 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule trans :premises (t400.t18 t400.t19))
% 27.33/27.56 (step t400 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule bind)
% 27.33/27.56 (step t401 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule trans :premises (t399 t400))
% 27.33/27.56 (step t402 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule trans :premises (t398 t401))
% 27.33/27.56 (step t403 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule resolution :premises (t397 t402 a181))
% 27.33/27.56 (step t404 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.leq (tptp.skaf83 tptp.sk7) tptp.sk5))) :rule resolution :premises (t396 t403))
% 27.33/27.56 (step t405 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))) :rule or_pos)
% 27.33/27.56 (step t406 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))))) :rule reordering :premises (t405))
% 27.33/27.56 (step t407 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t408)
% 27.33/27.56 (assume t408.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))
% 27.33/27.56 (step t408.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk5) (:= W tptp.nil) (:= X (tptp.skaf83 tptp.sk7)) (:= Y (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (step t408.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) :rule or :premises (t408.t1))
% 27.33/27.56 (step t408.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) :rule resolution :premises (t408.t2 t408.a0))
% 27.33/27.56 (step t408 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) :rule subproof :discharge (t408.a0))
% 27.33/27.56 (step t409 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) :rule resolution :premises (t407 t408))
% 27.33/27.56 (step t410 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))))) :rule implies_neg2)
% 27.33/27.56 (step t411 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))))) :rule resolution :premises (t409 t410))
% 27.33/27.56 (step t412 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7))))) :rule contraction :premises (t411))
% 27.33/27.56 (step t413 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) :rule implies :premises (t412))
% 27.33/27.56 (step t414 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem tptp.sk5)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.leq tptp.sk5 (tptp.skaf83 tptp.sk7)))) :rule resolution :premises (t413 t403))
% 27.33/27.56 (step t415 (cl (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_neg)
% 27.33/27.56 (step t416 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t417)
% 27.33/27.56 (assume t417.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t417.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t417.a2 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (assume t417.a3 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 27.33/27.56 (assume t417.a4 (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t417.a5 (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t417.a6 (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t417.a7 (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (step t417.t1 (cl (=> (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t417.t2)
% 27.33/27.56 (assume t417.t2.a0 (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t417.t2.a1 (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t417.t2.a2 (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t417.t2.a3 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 27.33/27.56 (assume t417.t2.a4 (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t417.t2.a5 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (assume t417.t2.a6 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t417.t2.a7 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (step t417.t2.t1 (cl (= (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 27.33/27.56 (step t417.t2.t2 (cl (not (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) true)) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t417.t2.t1))
% 27.33/27.56 (step t417.t2.t3 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.56 (step t417.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t417.t2.a5))
% 27.33/27.56 (step t417.t2.t5 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule cong :premises (t417.t2.t3 t417.t2.t4))
% 27.33/27.56 (step t417.t2.t6 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)) :rule symm :premises (t417.t2.a4))
% 27.33/27.56 (step t417.t2.t7 (cl (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t417.t2.t6))
% 27.33/27.56 (step t417.t2.t8 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule cong :premises (t417.t2.t7 t417.t2.a3))
% 27.33/27.56 (step t417.t2.t9 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule refl)
% 27.33/27.56 (step t417.t2.t10 (cl (= (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)) tptp.nil)) :rule symm :premises (t417.t2.a3))
% 27.33/27.56 (step t417.t2.t11 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule cong :premises (t417.t2.t9 t417.t2.t10))
% 27.33/27.56 (step t417.t2.t12 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t417.t2.a6))
% 27.33/27.56 (step t417.t2.t13 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule trans :premises (t417.t2.t8 t417.t2.t11 t417.t2.t12))
% 27.33/27.56 (step t417.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t417.t2.t5 t417.t2.t13))
% 27.33/27.56 (step t417.t2.t15 (cl (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t417.t2.t14))
% 27.33/27.56 (step t417.t2.t16 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule refl)
% 27.33/27.56 (step t417.t2.t17 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t417.t2.a6 t417.t2.t16))
% 27.33/27.56 (step t417.t2.t18 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t417.t2.a0))
% 27.33/27.56 (step t417.t2.t19 (cl (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t417.t2.t18))
% 27.33/27.56 (step t417.t2.t20 (cl (= (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t417.t2.a1))
% 27.33/27.56 (step t417.t2.t21 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule symm :premises (t417.t2.t20))
% 27.33/27.56 (step t417.t2.t22 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule trans :premises (t417.t2.t12 t417.t2.a7))
% 27.33/27.56 (step t417.t2.t23 (cl (= (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t417.t2.t22))
% 27.33/27.56 (step t417.t2.t24 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t417.t2.a7))
% 27.33/27.56 (step t417.t2.t25 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t417.t2.t24))
% 27.33/27.56 (step t417.t2.t26 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t417.t2.t21 t417.t2.t23 t417.t2.t25))
% 27.33/27.56 (step t417.t2.t27 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t417.t2.t26 t417.t2.t16))
% 27.33/27.56 (step t417.t2.t28 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t417.t2.t17 t417.t2.t19 t417.t2.t27))
% 27.33/27.56 (step t417.t2.t29 (cl (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t417.t2.t28))
% 27.33/27.56 (step t417.t2.t30 (cl (= (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) true) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule equiv_simplify)
% 27.33/27.56 (step t417.t2.t31 (cl (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) true) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule equiv2 :premises (t417.t2.t30))
% 27.33/27.56 (step t417.t2.t32 (cl (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) true)) :rule resolution :premises (t417.t2.t31 t417.t2.a2))
% 27.33/27.56 (step t417.t2.t33 (cl (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) true)) :rule trans :premises (t417.t2.t15 t417.t2.t29 t417.t2.t32))
% 27.33/27.56 (step t417.t2.t34 (cl (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t417.t2.t2 t417.t2.t33))
% 27.33/27.56 (step t417.t2 (cl (not (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t417.t2.a0 t417.t2.a1 t417.t2.a2 t417.t2.a3 t417.t2.a4 t417.t2.a5 t417.t2.a6 t417.t2.a7))
% 27.33/27.56 (step t417.t3 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t417.t4 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t417.t5 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t417.t6 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t417.t7 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t417.t8 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t417.t9 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t417.t10 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t417.t11 (cl (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule resolution :premises (t417.t2 t417.t3 t417.t4 t417.t5 t417.t6 t417.t7 t417.t8 t417.t9 t417.t10))
% 27.33/27.56 (step t417.t12 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t417.t11))
% 27.33/27.56 (step t417.t13 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t417.t12))
% 27.33/27.56 (step t417.t14 (cl (=> (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t417.t1 t417.t13))
% 27.33/27.56 (step t417.t15 (cl (=> (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t417.t16 (cl (=> (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t417.t14 t417.t15))
% 27.33/27.56 (step t417.t17 (cl (=> (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t417.t16))
% 27.33/27.56 (step t417.t18 (cl (not (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t417.t17))
% 27.33/27.56 (step t417.t19 (cl (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t417.t20 (cl (and (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t417.t19 t417.a7 t417.a6 t417.a5 t417.a3 t417.a4 t417.a2 t417.a1 t417.a0))
% 27.33/27.56 (step t417.t21 (cl (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t417.t18 t417.t20))
% 27.33/27.56 (step t417 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t417.a0 t417.a1 t417.a2 t417.a3 t417.a4 t417.a5 t417.a6 t417.a7))
% 27.33/27.56 (step t418 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t419 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t420 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t421 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t422 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t423 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t424 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t425 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t426 (cl (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t417 t418 t419 t420 t421 t422 t423 t424 t425))
% 27.33/27.56 (step t427 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t426))
% 27.33/27.56 (step t428 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t427))
% 27.33/27.56 (step t429 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t416 t428))
% 27.33/27.56 (step t430 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t431 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t429 t430))
% 27.33/27.56 (step t432 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t431))
% 27.33/27.56 (step t433 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t432))
% 27.33/27.56 (step t434 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t415 t433))
% 27.33/27.56 (step t435 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule reordering :premises (t434))
% 27.33/27.56 (step t436 (cl (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or_pos)
% 27.33/27.56 (step t437 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule reordering :premises (t436))
% 27.33/27.56 (step t438 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t439)
% 27.33/27.56 (assume t439.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.33/27.56 (step t439.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (step t439.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule or :premises (t439.t1))
% 27.33/27.56 (step t439.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t439.t2 t439.a0))
% 27.33/27.56 (step t439 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule subproof :discharge (t439.a0))
% 27.33/27.56 (step t440 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t438 t439))
% 27.33/27.56 (step t441 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t442 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t440 t441))
% 27.33/27.56 (step t443 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule contraction :premises (t442))
% 27.33/27.56 (step t444 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies :premises (t443))
% 27.33/27.56 (step t445 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t444 a119))
% 27.33/27.56 (step t446 (cl (= (tptp.app (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t437 t123 t223 t445))
% 27.33/27.56 (step t447 (cl (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or_pos)
% 27.33/27.56 (step t448 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule reordering :premises (t447))
% 27.33/27.56 (step t449 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t450)
% 27.33/27.56 (assume t450.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 27.33/27.56 (step t450.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V tptp.nil)))
% 27.33/27.56 (step t450.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule or :premises (t450.t1))
% 27.33/27.56 (step t450.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t450.t2 t450.a0))
% 27.33/27.56 (step t450 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule subproof :discharge (t450.a0))
% 27.33/27.56 (step t451 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t449 t450))
% 27.33/27.56 (step t452 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule implies_neg2)
% 27.33/27.56 (step t453 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule resolution :premises (t451 t452))
% 27.33/27.56 (step t454 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule contraction :premises (t453))
% 27.33/27.56 (step t455 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies :premises (t454))
% 27.33/27.56 (step t456 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t455 t306))
% 27.33/27.56 (step t457 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t448 a7 t223 t456))
% 27.33/27.56 (step t458 (cl (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule or_pos)
% 27.33/27.56 (step t459 (cl (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule contraction :premises (t458))
% 27.33/27.56 (step t460 (cl (not (tptp.ssList tptp.nil)) (not (tptp.segmentP tptp.nil tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule reordering :premises (t459))
% 27.33/27.56 (step t461 (cl (not (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) (not (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U)))) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil))) :rule equiv_pos2)
% 27.33/27.56 (step t462 (cl (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule all_simplify)
% 27.33/27.56 (step t463 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 27.33/27.56 (step t464 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t463))
% 27.33/27.56 (step t465 (cl (= (not true) false)) :rule all_simplify)
% 27.33/27.56 (step t466 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t464 t465))
% 27.33/27.56 (step t467 (cl (= (tptp.segmentP tptp.nil tptp.nil) (tptp.segmentP tptp.nil tptp.nil))) :rule refl)
% 27.33/27.56 (step t468 (cl (= (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or false (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule cong :premises (t466 t200 t467))
% 27.33/27.56 (step t469 (cl (= (or false (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule all_simplify)
% 27.33/27.56 (step t470 (cl (= (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule trans :premises (t468 t469))
% 27.33/27.56 (step t471 (cl (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule trans :premises (t462 t470))
% 27.33/27.56 (step t472 (cl (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil))) :rule resolution :premises (t461 t471 a78))
% 27.33/27.56 (step t473 (cl (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) :rule or :premises (t472))
% 27.33/27.56 (step t474 (cl (tptp.segmentP tptp.nil tptp.nil)) :rule resolution :premises (t473 a7))
% 27.33/27.56 (step t475 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t476)
% 27.33/27.56 (assume t476.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))
% 27.33/27.56 (step t476.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.nil)))
% 27.33/27.56 (step t476.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule or :premises (t476.t1))
% 27.33/27.56 (step t476.t3 (cl (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule resolution :premises (t476.t2 t476.a0))
% 27.33/27.56 (step t476 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule subproof :discharge (t476.a0))
% 27.33/27.56 (step t477 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule resolution :premises (t475 t476))
% 27.33/27.56 (step t478 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule implies_neg2)
% 27.33/27.56 (step t479 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule resolution :premises (t477 t478))
% 27.33/27.56 (step t480 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule contraction :premises (t479))
% 27.33/27.56 (step t481 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule implies :premises (t480))
% 27.33/27.56 (step t482 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule equiv_pos2)
% 27.33/27.56 (anchor :step t483 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.56 (step t483.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t483.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t483.t3 (cl (= (not (tptp.segmentP U V)) (not (tptp.segmentP U V)))) :rule refl)
% 27.33/27.56 (step t483.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.56 (step t483.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.56 (step t483.t6 (cl (= (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) :rule all_simplify)
% 27.33/27.56 (step t483.t7 (cl (= (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule cong :premises (t483.t3 t483.t4 t483.t5 t483.t6))
% 27.33/27.56 (step t483 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) :rule bind)
% 27.33/27.56 (step t484 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule resolution :premises (t482 t483 a167))
% 27.33/27.56 (step t485 (cl (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule resolution :premises (t481 t484))
% 27.33/27.56 (step t486 (cl (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule resolution :premises (t460 a7 t474 t485))
% 27.33/27.56 (step t487 (cl (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_neg)
% 27.33/27.56 (step t488 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t489)
% 27.33/27.56 (assume t489.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t489.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t489.a2 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t489.a3 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (assume t489.a4 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t489.a5 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 27.33/27.56 (assume t489.a6 (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t489.a7 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (step t489.t1 (cl (=> (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t489.t2)
% 27.33/27.56 (assume t489.t2.a0 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 27.33/27.56 (assume t489.t2.a1 (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t489.t2.a2 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (assume t489.t2.a3 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t489.t2.a4 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t489.t2.a5 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t489.t2.a6 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (assume t489.t2.a7 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (step t489.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 27.33/27.56 (step t489.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) true)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t489.t2.t1))
% 27.33/27.56 (step t489.t2.t3 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.56 (step t489.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t489.t2.a2))
% 27.33/27.56 (step t489.t2.t5 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule cong :premises (t489.t2.t3 t489.t2.t4))
% 27.33/27.56 (step t489.t2.t6 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)) :rule symm :premises (t489.t2.a1))
% 27.33/27.56 (step t489.t2.t7 (cl (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t489.t2.t6))
% 27.33/27.56 (step t489.t2.t8 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule cong :premises (t489.t2.t7 t489.t2.a0))
% 27.33/27.56 (step t489.t2.t9 (cl (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule refl)
% 27.33/27.56 (step t489.t2.t10 (cl (= (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)) tptp.nil)) :rule symm :premises (t489.t2.a0))
% 27.33/27.56 (step t489.t2.t11 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule cong :premises (t489.t2.t9 t489.t2.t10))
% 27.33/27.56 (step t489.t2.t12 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t489.t2.a4))
% 27.33/27.56 (step t489.t2.t13 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule trans :premises (t489.t2.t8 t489.t2.t11 t489.t2.t12))
% 27.33/27.56 (step t489.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t489.t2.t5 t489.t2.t13))
% 27.33/27.56 (step t489.t2.t15 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.33/27.56 (step t489.t2.t16 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t489.t2.a5))
% 27.33/27.56 (step t489.t2.t17 (cl (= (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t489.t2.t15 t489.t2.t16))
% 27.33/27.56 (step t489.t2.t18 (cl (= (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t489.t2.a6))
% 27.33/27.56 (step t489.t2.t19 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t489.t2.a7))
% 27.33/27.56 (step t489.t2.t20 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule symm :premises (t489.t2.t19))
% 27.33/27.56 (step t489.t2.t21 (cl (= (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule trans :premises (t489.t2.t17 t489.t2.t18 t489.t2.t20))
% 27.33/27.56 (step t489.t2.t22 (cl (= (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule trans :premises (t489.t2.t21 t489.t2.t19))
% 27.33/27.56 (step t489.t2.t23 (cl (= (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t489.t2.t22 t489.t2.t16))
% 27.33/27.56 (step t489.t2.t24 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t489.t2.t23))
% 27.33/27.56 (step t489.t2.t25 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule trans :premises (t489.t2.t14 t489.t2.t24))
% 27.33/27.56 (step t489.t2.t26 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule cong :premises (t489.t2.t25))
% 27.33/27.56 (step t489.t2.t27 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule refl)
% 27.33/27.56 (step t489.t2.t28 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t489.t2.t20 t489.t2.t27))
% 27.33/27.56 (step t489.t2.t29 (cl (= (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t489.t2.t23 t489.t2.t28))
% 27.33/27.56 (step t489.t2.t30 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t489.t2.t29))
% 27.33/27.56 (step t489.t2.t31 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule equiv_simplify)
% 27.33/27.56 (step t489.t2.t32 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule equiv2 :premises (t489.t2.t31))
% 27.33/27.56 (step t489.t2.t33 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) true)) :rule resolution :premises (t489.t2.t32 t489.t2.a3))
% 27.33/27.56 (step t489.t2.t34 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) true)) :rule trans :premises (t489.t2.t26 t489.t2.t30 t489.t2.t33))
% 27.33/27.56 (step t489.t2.t35 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t489.t2.t2 t489.t2.t34))
% 27.33/27.56 (step t489.t2 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t489.t2.a0 t489.t2.a1 t489.t2.a2 t489.t2.a3 t489.t2.a4 t489.t2.a5 t489.t2.a6 t489.t2.a7))
% 27.33/27.56 (step t489.t3 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t489.t4 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t489.t5 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t489.t6 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t489.t7 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t489.t8 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t489.t9 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t489.t10 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t489.t11 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule resolution :premises (t489.t2 t489.t3 t489.t4 t489.t5 t489.t6 t489.t7 t489.t8 t489.t9 t489.t10))
% 27.33/27.56 (step t489.t12 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t489.t11))
% 27.33/27.56 (step t489.t13 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t489.t12))
% 27.33/27.56 (step t489.t14 (cl (=> (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t489.t1 t489.t13))
% 27.33/27.56 (step t489.t15 (cl (=> (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t489.t16 (cl (=> (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t489.t14 t489.t15))
% 27.33/27.56 (step t489.t17 (cl (=> (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t489.t16))
% 27.33/27.56 (step t489.t18 (cl (not (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t489.t17))
% 27.33/27.56 (step t489.t19 (cl (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t489.t20 (cl (and (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t489.t19 t489.a5 t489.a6 t489.a3 t489.a7 t489.a2 t489.a4 t489.a1 t489.a0))
% 27.33/27.56 (step t489.t21 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t489.t18 t489.t20))
% 27.33/27.56 (step t489 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t489.a0 t489.a1 t489.a2 t489.a3 t489.a4 t489.a5 t489.a6 t489.a7))
% 27.33/27.56 (step t490 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t491 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t492 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t493 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t494 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t495 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t496 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t497 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t498 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t489 t490 t491 t492 t493 t494 t495 t496 t497))
% 27.33/27.56 (step t499 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t498))
% 27.33/27.56 (step t500 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t499))
% 27.33/27.56 (step t501 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t488 t500))
% 27.33/27.56 (step t502 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t503 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t501 t502))
% 27.33/27.56 (step t504 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t503))
% 27.33/27.56 (step t505 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t504))
% 27.33/27.56 (step t506 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t487 t505))
% 27.33/27.56 (step t507 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule reordering :premises (t506))
% 27.33/27.56 (step t508 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or_pos)
% 27.33/27.56 (step t509 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule reordering :premises (t508))
% 27.33/27.56 (step t510 (cl (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t511 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t512)
% 27.33/27.56 (assume t512.a0 (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))
% 27.33/27.56 (assume t512.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (step t512.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t512.t2)
% 27.33/27.56 (assume t512.t2.a0 (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))
% 27.33/27.56 (assume t512.t2.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (step t512.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule equiv_simplify)
% 27.33/27.56 (step t512.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) true)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule equiv1 :premises (t512.t2.t1))
% 27.33/27.56 (step t512.t2.t3 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t512.t2.a1))
% 27.33/27.56 (step t512.t2.t4 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t512.t2.t3))
% 27.33/27.56 (step t512.t2.t5 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule equiv_simplify)
% 27.33/27.56 (step t512.t2.t6 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule equiv2 :premises (t512.t2.t5))
% 27.33/27.56 (step t512.t2.t7 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true)) :rule resolution :premises (t512.t2.t6 t512.t2.a0))
% 27.33/27.56 (step t512.t2.t8 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) true)) :rule trans :premises (t512.t2.t4 t512.t2.t7))
% 27.33/27.56 (step t512.t2.t9 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t512.t2.t2 t512.t2.t8))
% 27.33/27.56 (step t512.t2 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule subproof :discharge (t512.t2.a0 t512.t2.a1))
% 27.33/27.56 (step t512.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and_pos)
% 27.33/27.56 (step t512.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t512.t5 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule resolution :premises (t512.t2 t512.t3 t512.t4))
% 27.33/27.56 (step t512.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule reordering :premises (t512.t5))
% 27.33/27.56 (step t512.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule contraction :premises (t512.t6))
% 27.33/27.56 (step t512.t8 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t512.t1 t512.t7))
% 27.33/27.56 (step t512.t9 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies_neg2)
% 27.33/27.56 (step t512.t10 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t512.t8 t512.t9))
% 27.33/27.56 (step t512.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule contraction :premises (t512.t10))
% 27.33/27.56 (step t512.t12 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule implies :premises (t512.t11))
% 27.33/27.56 (step t512.t13 (cl (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t512.t14 (cl (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t512.t13 t512.a0 t512.a1))
% 27.33/27.56 (step t512.t15 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t512.t12 t512.t14))
% 27.33/27.56 (step t512 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule subproof :discharge (t512.a0 t512.a1))
% 27.33/27.56 (step t513 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and_pos)
% 27.33/27.56 (step t514 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t515 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))) :rule resolution :premises (t512 t513 t514))
% 27.33/27.56 (step t516 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule reordering :premises (t515))
% 27.33/27.56 (step t517 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule contraction :premises (t516))
% 27.33/27.56 (step t518 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t511 t517))
% 27.33/27.56 (step t519 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule implies_neg2)
% 27.33/27.56 (step t520 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule resolution :premises (t518 t519))
% 27.33/27.56 (step t521 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule contraction :premises (t520))
% 27.33/27.56 (step t522 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule implies :premises (t521))
% 27.33/27.56 (step t523 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t510 t522))
% 27.33/27.56 (step t524 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule resolution :premises (t523 t123 t344))
% 27.33/27.56 (step t525 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t526)
% 27.33/27.56 (assume t526.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 27.33/27.56 (step t526.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (:= V (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))))
% 27.33/27.56 (step t526.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule or :premises (t526.t1))
% 27.33/27.56 (step t526.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t526.t2 t526.a0))
% 27.33/27.56 (step t526 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule subproof :discharge (t526.a0))
% 27.33/27.56 (step t527 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t525 t526))
% 27.33/27.56 (step t528 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t529 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t527 t528))
% 27.33/27.56 (step t530 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule contraction :premises (t529))
% 27.33/27.56 (step t531 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies :premises (t530))
% 27.33/27.56 (step t532 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t531 a84))
% 27.33/27.56 (step t533 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t509 t123 t524 t532))
% 27.33/27.56 (step t534 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or_pos)
% 27.33/27.56 (step t535 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule reordering :premises (t534))
% 27.33/27.56 (step t536 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t537)
% 27.33/27.56 (assume t537.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 27.33/27.56 (step t537.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (step t537.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule or :premises (t537.t1))
% 27.33/27.56 (step t537.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t537.t2 t537.a0))
% 27.33/27.56 (step t537 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule subproof :discharge (t537.a0))
% 27.33/27.56 (step t538 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t536 t537))
% 27.33/27.56 (step t539 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t540 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t538 t539))
% 27.33/27.56 (step t541 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule contraction :premises (t540))
% 27.33/27.56 (step t542 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies :premises (t541))
% 27.33/27.56 (step t543 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 27.33/27.56 (anchor :step t544 :args ((U $$unsorted) (:= U U)))
% 27.33/27.56 (step t544.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t544.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.56 (step t544.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 27.33/27.56 (step t544.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t544.t2 t544.t3))
% 27.33/27.56 (step t544 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 27.33/27.56 (step t545 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t543 t544 a73))
% 27.33/27.56 (step t546 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t542 t545))
% 27.33/27.56 (step t547 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t535 t123 t546))
% 27.33/27.56 (step t548 (cl (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t549 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t550)
% 27.33/27.56 (assume t550.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t550.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t550.a2 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (assume t550.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t550.a4 (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t550.a5 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t550.a6 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t550.a7 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t550.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t550.a9 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.56 (step t550.t1 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t550.t2)
% 27.33/27.56 (assume t550.t2.a0 (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t550.t2.a1 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.56 (assume t550.t2.a2 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t550.t2.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t550.t2.a4 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t550.t2.a5 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t550.t2.a6 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t550.t2.a7 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t550.t2.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t550.t2.a9 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (step t550.t2.t1 (cl (= (= (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule equiv_simplify)
% 27.33/27.56 (step t550.t2.t2 (cl (not (= (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true)) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule equiv1 :premises (t550.t2.t1))
% 27.33/27.56 (step t550.t2.t3 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.56 (step t550.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t550.t2.a9))
% 27.33/27.56 (step t550.t2.t5 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule cong :premises (t550.t2.t3 t550.t2.t4))
% 27.33/27.56 (step t550.t2.t6 (cl (= (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t550.t2.t5))
% 27.33/27.56 (step t550.t2.t7 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t550.t2.a8))
% 27.33/27.56 (step t550.t2.t8 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t550.t2.t7))
% 27.33/27.56 (step t550.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t550.t2.a6))
% 27.33/27.56 (step t550.t2.t10 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t550.t2.t9))
% 27.33/27.56 (step t550.t2.t11 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t550.t2.a5))
% 27.33/27.56 (step t550.t2.t12 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule trans :premises (t550.t2.t11 t550.t2.a4))
% 27.33/27.56 (step t550.t2.t13 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t550.t2.t12))
% 27.33/27.56 (step t550.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t550.t2.a4))
% 27.33/27.56 (step t550.t2.t15 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t550.t2.t14))
% 27.33/27.56 (step t550.t2.t16 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t550.t2.t10 t550.t2.t13 t550.t2.t15))
% 27.33/27.56 (step t550.t2.t17 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.33/27.56 (step t550.t2.t18 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule cong :premises (t550.t2.t16 t550.t2.t17))
% 27.33/27.56 (step t550.t2.t19 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t550.t2.a7))
% 27.33/27.56 (step t550.t2.t20 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t550.t2.t19))
% 27.33/27.56 (step t550.t2.t21 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t550.t2.t12))
% 27.33/27.56 (step t550.t2.t22 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t550.t2.a4))
% 27.33/27.56 (step t550.t2.t23 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t550.t2.t22))
% 27.33/27.56 (step t550.t2.t24 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t550.t2.t20 t550.t2.t21 t550.t2.t23))
% 27.33/27.56 (step t550.t2.t25 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t550.t2.t18 t550.t2.t24))
% 27.33/27.56 (step t550.t2.t26 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule refl)
% 27.33/27.56 (step t550.t2.t27 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t550.t2.a3))
% 27.33/27.56 (step t550.t2.t28 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t550.t2.t27))
% 27.33/27.56 (step t550.t2.t29 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t550.t2.t14 t550.t2.t28))
% 27.33/27.56 (step t550.t2.t30 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t550.t2.t29))
% 27.33/27.56 (step t550.t2.t31 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) tptp.nil)) :rule symm :premises (t550.t2.a2))
% 27.33/27.56 (step t550.t2.t32 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) :rule trans :premises (t550.t2.t22 t550.t2.t30 t550.t2.t31))
% 27.33/27.56 (step t550.t2.t33 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule cong :premises (t550.t2.t26 t550.t2.t32))
% 27.33/27.56 (step t550.t2.t34 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t550.t2.a1))
% 27.33/27.56 (step t550.t2.t35 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t550.t2.a5 t550.t2.t8 t550.t2.t25 t550.t2.t33 t550.t2.t34))
% 27.33/27.56 (step t550.t2.t36 (cl (= (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t550.t2.t35))
% 27.33/27.56 (step t550.t2.t37 (cl (= (= (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv_simplify)
% 27.33/27.56 (step t550.t2.t38 (cl (= (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv2 :premises (t550.t2.t37))
% 27.33/27.56 (step t550.t2.t39 (cl (= (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true)) :rule resolution :premises (t550.t2.t38 t550.t2.a0))
% 27.33/27.56 (step t550.t2.t40 (cl (= (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true)) :rule trans :premises (t550.t2.t6 t550.t2.t36 t550.t2.t39))
% 27.33/27.56 (step t550.t2.t41 (cl (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t550.t2.t2 t550.t2.t40))
% 27.33/27.56 (step t550.t2 (cl (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t550.t2.a0 t550.t2.a1 t550.t2.a2 t550.t2.a3 t550.t2.a4 t550.t2.a5 t550.t2.a6 t550.t2.a7 t550.t2.a8 t550.t2.a9))
% 27.33/27.56 (step t550.t3 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t550.t4 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t550.t5 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t550.t6 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t550.t7 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t550.t8 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t550.t9 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t550.t10 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t550.t11 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t550.t12 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t550.t13 (cl (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t550.t2 t550.t3 t550.t4 t550.t5 t550.t6 t550.t7 t550.t8 t550.t9 t550.t10 t550.t11 t550.t12))
% 27.33/27.56 (step t550.t14 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule reordering :premises (t550.t13))
% 27.33/27.56 (step t550.t15 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule contraction :premises (t550.t14))
% 27.33/27.56 (step t550.t16 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t550.t1 t550.t15))
% 27.33/27.56 (step t550.t17 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t550.t18 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t550.t16 t550.t17))
% 27.33/27.56 (step t550.t19 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t550.t18))
% 27.33/27.56 (step t550.t20 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t550.t19))
% 27.33/27.56 (step t550.t21 (cl (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_neg)
% 27.33/27.56 (step t550.t22 (cl (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t550.t21 t550.a4 t550.a9 t550.a5 t550.a1 t550.a0 t550.a3 t550.a7 t550.a6 t550.a8 t550.a2))
% 27.33/27.56 (step t550.t23 (cl (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t550.t20 t550.t22))
% 27.33/27.56 (step t550 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t550.a0 t550.a1 t550.a2 t550.a3 t550.a4 t550.a5 t550.a6 t550.a7 t550.a8 t550.a9))
% 27.33/27.56 (step t551 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t552 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t553 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t554 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t555 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t556 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t557 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t558 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t559 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t560 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t561 (cl (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule resolution :premises (t550 t551 t552 t553 t554 t555 t556 t557 t558 t559 t560))
% 27.33/27.56 (step t562 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule reordering :premises (t561))
% 27.33/27.56 (step t563 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule contraction :premises (t562))
% 27.33/27.56 (step t564 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t549 t563))
% 27.33/27.56 (step t565 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t566 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t564 t565))
% 27.33/27.56 (step t567 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t566))
% 27.33/27.56 (step t568 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t567))
% 27.33/27.56 (step t569 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t548 t568))
% 27.33/27.56 (step t570 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.cyclefreeP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule reordering :premises (t569))
% 27.33/27.56 (step t571 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule or_pos)
% 27.33/27.56 (step t572 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule reordering :premises (t571))
% 27.33/27.56 (step t573 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t574)
% 27.33/27.56 (assume t574.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 27.33/27.56 (step t574.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (step t574.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or :premises (t574.t1))
% 27.33/27.56 (step t574.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t574.t2 t574.a0))
% 27.33/27.56 (step t574 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule subproof :discharge (t574.a0))
% 27.33/27.56 (step t575 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t573 t574))
% 27.33/27.56 (step t576 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t577 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t575 t576))
% 27.33/27.56 (step t578 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule contraction :premises (t577))
% 27.33/27.56 (step t579 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule implies :premises (t578))
% 27.33/27.56 (step t580 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t579 a69))
% 27.33/27.56 (step t581 (cl (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule resolution :premises (t572 t196 t580))
% 27.33/27.56 (step t582 (cl (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t583 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t584)
% 27.33/27.56 (assume t584.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t584.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t584.a2 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (assume t584.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t584.a4 (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t584.a5 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t584.a6 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t584.a7 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t584.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t584.a9 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.56 (step t584.t1 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t584.t2)
% 27.33/27.56 (assume t584.t2.a0 (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t584.t2.a1 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.56 (assume t584.t2.a2 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t584.t2.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t584.t2.a4 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t584.t2.a5 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t584.t2.a6 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t584.t2.a7 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t584.t2.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t584.t2.a9 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (step t584.t2.t1 (cl (= (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule equiv_simplify)
% 27.33/27.56 (step t584.t2.t2 (cl (not (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true)) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule equiv1 :premises (t584.t2.t1))
% 27.33/27.56 (step t584.t2.t3 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.56 (step t584.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t584.t2.a9))
% 27.33/27.56 (step t584.t2.t5 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule cong :premises (t584.t2.t3 t584.t2.t4))
% 27.33/27.56 (step t584.t2.t6 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t584.t2.t5))
% 27.33/27.56 (step t584.t2.t7 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t584.t2.a8))
% 27.33/27.56 (step t584.t2.t8 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t584.t2.t7))
% 27.33/27.56 (step t584.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t584.t2.a6))
% 27.33/27.56 (step t584.t2.t10 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t584.t2.t9))
% 27.33/27.56 (step t584.t2.t11 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t584.t2.a5))
% 27.33/27.56 (step t584.t2.t12 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule trans :premises (t584.t2.t11 t584.t2.a4))
% 27.33/27.56 (step t584.t2.t13 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t584.t2.t12))
% 27.33/27.56 (step t584.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t584.t2.a4))
% 27.33/27.56 (step t584.t2.t15 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t584.t2.t14))
% 27.33/27.56 (step t584.t2.t16 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t584.t2.t10 t584.t2.t13 t584.t2.t15))
% 27.33/27.56 (step t584.t2.t17 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.33/27.56 (step t584.t2.t18 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule cong :premises (t584.t2.t16 t584.t2.t17))
% 27.33/27.56 (step t584.t2.t19 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t584.t2.a7))
% 27.33/27.56 (step t584.t2.t20 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t584.t2.t19))
% 27.33/27.56 (step t584.t2.t21 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t584.t2.t12))
% 27.33/27.56 (step t584.t2.t22 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t584.t2.a4))
% 27.33/27.56 (step t584.t2.t23 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t584.t2.t22))
% 27.33/27.56 (step t584.t2.t24 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t584.t2.t20 t584.t2.t21 t584.t2.t23))
% 27.33/27.56 (step t584.t2.t25 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t584.t2.t18 t584.t2.t24))
% 27.33/27.56 (step t584.t2.t26 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule refl)
% 27.33/27.56 (step t584.t2.t27 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t584.t2.a3))
% 27.33/27.56 (step t584.t2.t28 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t584.t2.t27))
% 27.33/27.56 (step t584.t2.t29 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t584.t2.t14 t584.t2.t28))
% 27.33/27.56 (step t584.t2.t30 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t584.t2.t29))
% 27.33/27.56 (step t584.t2.t31 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) tptp.nil)) :rule symm :premises (t584.t2.a2))
% 27.33/27.56 (step t584.t2.t32 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) :rule trans :premises (t584.t2.t22 t584.t2.t30 t584.t2.t31))
% 27.33/27.56 (step t584.t2.t33 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule cong :premises (t584.t2.t26 t584.t2.t32))
% 27.33/27.56 (step t584.t2.t34 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t584.t2.a1))
% 27.33/27.56 (step t584.t2.t35 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t584.t2.a5 t584.t2.t8 t584.t2.t25 t584.t2.t33 t584.t2.t34))
% 27.33/27.56 (step t584.t2.t36 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t584.t2.t35))
% 27.33/27.56 (step t584.t2.t37 (cl (= (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv_simplify)
% 27.33/27.56 (step t584.t2.t38 (cl (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv2 :premises (t584.t2.t37))
% 27.33/27.56 (step t584.t2.t39 (cl (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true)) :rule resolution :premises (t584.t2.t38 t584.t2.a0))
% 27.33/27.56 (step t584.t2.t40 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true)) :rule trans :premises (t584.t2.t6 t584.t2.t36 t584.t2.t39))
% 27.33/27.56 (step t584.t2.t41 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t584.t2.t2 t584.t2.t40))
% 27.33/27.56 (step t584.t2 (cl (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t584.t2.a0 t584.t2.a1 t584.t2.a2 t584.t2.a3 t584.t2.a4 t584.t2.a5 t584.t2.a6 t584.t2.a7 t584.t2.a8 t584.t2.a9))
% 27.33/27.56 (step t584.t3 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t584.t4 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t584.t5 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t584.t6 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t584.t7 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t584.t8 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t584.t9 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t584.t10 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t584.t11 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t584.t12 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t584.t13 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t584.t2 t584.t3 t584.t4 t584.t5 t584.t6 t584.t7 t584.t8 t584.t9 t584.t10 t584.t11 t584.t12))
% 27.33/27.56 (step t584.t14 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule reordering :premises (t584.t13))
% 27.33/27.56 (step t584.t15 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule contraction :premises (t584.t14))
% 27.33/27.56 (step t584.t16 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t584.t1 t584.t15))
% 27.33/27.56 (step t584.t17 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t584.t18 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t584.t16 t584.t17))
% 27.33/27.56 (step t584.t19 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t584.t18))
% 27.33/27.56 (step t584.t20 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t584.t19))
% 27.33/27.56 (step t584.t21 (cl (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_neg)
% 27.33/27.56 (step t584.t22 (cl (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t584.t21 t584.a4 t584.a9 t584.a5 t584.a1 t584.a0 t584.a3 t584.a7 t584.a6 t584.a8 t584.a2))
% 27.33/27.56 (step t584.t23 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t584.t20 t584.t22))
% 27.33/27.56 (step t584 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t584.a0 t584.a1 t584.a2 t584.a3 t584.a4 t584.a5 t584.a6 t584.a7 t584.a8 t584.a9))
% 27.33/27.56 (step t585 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t586 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t587 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t588 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t589 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t590 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t591 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t592 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t593 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t594 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t595 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule resolution :premises (t584 t585 t586 t587 t588 t589 t590 t591 t592 t593 t594))
% 27.33/27.56 (step t596 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule reordering :premises (t595))
% 27.33/27.56 (step t597 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule contraction :premises (t596))
% 27.33/27.56 (step t598 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t583 t597))
% 27.33/27.56 (step t599 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t600 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t598 t599))
% 27.33/27.56 (step t601 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t600))
% 27.33/27.56 (step t602 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t601))
% 27.33/27.56 (step t603 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t582 t602))
% 27.33/27.56 (step t604 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule reordering :premises (t603))
% 27.33/27.56 (step t605 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule or_pos)
% 27.33/27.56 (step t606 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule reordering :premises (t605))
% 27.33/27.56 (step t607 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t608)
% 27.33/27.56 (assume t608.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 27.33/27.56 (step t608.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (step t608.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or :premises (t608.t1))
% 27.33/27.56 (step t608.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t608.t2 t608.a0))
% 27.33/27.56 (step t608 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule subproof :discharge (t608.a0))
% 27.33/27.56 (step t609 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t607 t608))
% 27.33/27.56 (step t610 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies_neg2)
% 27.33/27.56 (step t611 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t609 t610))
% 27.33/27.56 (step t612 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule contraction :premises (t611))
% 27.33/27.56 (step t613 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule implies :premises (t612))
% 27.33/27.56 (step t614 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t613 a66))
% 27.33/27.56 (step t615 (cl (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule resolution :premises (t606 t196 t614))
% 27.33/27.56 (step t616 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t356 t364 t372 t387 a193 a192 a7 t389 t364 t372 t404 t175 a192 a7 t406 t364 t414 t372 a193 a192 a7 t435 t446 t457 t486 t344 t507 t533 t333 t486 t547 t344 t570 t213 t235 t581 t294 t308 t319 t333 t344 t604 t213 t235 t615 t294 t308 t319 t333 t344))
% 27.33/27.56 (step t617 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t616))
% 27.33/27.56 (step t618 (cl (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_neg)
% 27.33/27.56 (step t619 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t620)
% 27.33/27.56 (assume t620.a0 (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))
% 27.33/27.56 (assume t620.a1 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (step t620.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t620.t2)
% 27.33/27.56 (assume t620.t2.a0 (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))
% 27.33/27.56 (assume t620.t2.a1 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 27.33/27.56 (step t620.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule equiv_simplify)
% 27.33/27.56 (step t620.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true)) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule equiv1 :premises (t620.t2.t1))
% 27.33/27.56 (step t620.t2.t3 (cl (= (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.56 (step t620.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t620.t2.a1))
% 27.33/27.56 (step t620.t2.t5 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule cong :premises (t620.t2.t3 t620.t2.t4))
% 27.33/27.56 (step t620.t2.t6 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t620.t2.t5))
% 27.33/27.56 (step t620.t2.t7 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule equiv_simplify)
% 27.33/27.56 (step t620.t2.t8 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule equiv2 :premises (t620.t2.t7))
% 27.33/27.56 (step t620.t2.t9 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true)) :rule resolution :premises (t620.t2.t8 t620.t2.a0))
% 27.33/27.56 (step t620.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) true)) :rule trans :premises (t620.t2.t6 t620.t2.t9))
% 27.33/27.56 (step t620.t2.t11 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t620.t2.t2 t620.t2.t10))
% 27.33/27.56 (step t620.t2 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t620.t2.a0 t620.t2.a1))
% 27.33/27.56 (step t620.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and_pos)
% 27.33/27.56 (step t620.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t620.t5 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t620.t2 t620.t3 t620.t4))
% 27.33/27.56 (step t620.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule reordering :premises (t620.t5))
% 27.33/27.56 (step t620.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule contraction :premises (t620.t6))
% 27.33/27.56 (step t620.t8 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t620.t1 t620.t7))
% 27.33/27.56 (step t620.t9 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t620.t10 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t620.t8 t620.t9))
% 27.33/27.56 (step t620.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t620.t10))
% 27.33/27.56 (step t620.t12 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t620.t11))
% 27.33/27.56 (step t620.t13 (cl (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_neg)
% 27.33/27.56 (step t620.t14 (cl (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t620.t13 t620.a0 t620.a1))
% 27.33/27.56 (step t620.t15 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t620.t12 t620.t14))
% 27.33/27.56 (step t620 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t620.a0 t620.a1))
% 27.33/27.56 (step t621 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and_pos)
% 27.33/27.56 (step t622 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 27.33/27.56 (step t623 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t620 t621 t622))
% 27.33/27.56 (step t624 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule reordering :premises (t623))
% 27.33/27.56 (step t625 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule contraction :premises (t624))
% 27.33/27.56 (step t626 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t619 t625))
% 27.33/27.56 (step t627 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t628 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t626 t627))
% 27.33/27.56 (step t629 (cl (=> (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t628))
% 27.33/27.56 (step t630 (cl (not (and (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t629))
% 27.33/27.56 (step t631 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t618 t630))
% 27.33/27.56 (step t632 (cl (not (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or_pos)
% 27.33/27.56 (step t633 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule reordering :premises (t632))
% 27.33/27.56 (step t634 (cl (not (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))) :rule or_pos)
% 27.33/27.56 (step t635 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.memberP tptp.nil tptp.sk5)) (not (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule reordering :premises (t634))
% 27.33/27.56 (step t636 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t637)
% 27.33/27.56 (assume t637.a0 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 27.33/27.56 (step t637.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule forall_inst :args ((:= U tptp.sk5)))
% 27.33/27.56 (step t637.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule or :premises (t637.t1))
% 27.33/27.56 (step t637.t3 (cl (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t637.t2 t637.a0))
% 27.33/27.56 (step t637 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule subproof :discharge (t637.a0))
% 27.33/27.56 (step t638 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t636 t637))
% 27.33/27.56 (step t639 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (not (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule implies_neg2)
% 27.33/27.56 (step t640 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule resolution :premises (t638 t639))
% 27.33/27.56 (step t641 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule contraction :premises (t640))
% 27.33/27.56 (step t642 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule implies :premises (t641))
% 27.33/27.56 (step t643 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule equiv_pos2)
% 27.33/27.56 (step t644 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) :rule refl)
% 27.33/27.56 (step t645 (cl (= (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)))) :rule refl)
% 27.33/27.56 (step t646 (cl (= (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule refl)
% 27.33/27.56 (step t647 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 27.33/27.56 (step t648 (cl (= (tptp.memberP tptp.nil tptp.sk5) (tptp.memberP tptp.nil tptp.sk5))) :rule refl)
% 27.33/27.56 (step t649 (cl (= (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule all_simplify)
% 27.33/27.56 (step t650 (cl (= (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule cong :premises (t645 t200 t646 t647 t648 t649))
% 27.33/27.56 (step t651 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule cong :premises (t644 t650))
% 27.33/27.56 (step t652 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t653)
% 27.33/27.56 (assume t653.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))
% 27.33/27.56 (step t653.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V tptp.nil) (:= W tptp.sk5)))
% 27.33/27.56 (step t653.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) :rule or :premises (t653.t1))
% 27.33/27.56 (step t653.t3 (cl (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) :rule resolution :premises (t653.t2 t653.a0))
% 27.33/27.56 (step t653 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) :rule subproof :discharge (t653.a0))
% 27.33/27.56 (step t654 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) :rule resolution :premises (t652 t653))
% 27.33/27.56 (step t655 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) (not (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)))) :rule implies_neg2)
% 27.33/27.56 (step t656 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)))) :rule resolution :premises (t654 t655))
% 27.33/27.56 (step t657 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.sk5)))) :rule contraction :premises (t656))
% 27.33/27.56 (step t658 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t643 t651 t657))
% 27.33/27.56 (step t659 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies :premises (t658))
% 27.33/27.56 (step t660 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule equiv_pos2)
% 27.33/27.56 (anchor :step t661 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 27.33/27.56 (step t661.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t661.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t661.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t661.t4 (cl (= (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.memberP (tptp.cons U V) W)))) :rule refl)
% 27.33/27.56 (step t661.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.56 (step t661.t6 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.33/27.56 (step t661.t7 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 27.33/27.56 (step t661.t8 (cl (= (tptp.memberP V W) (tptp.memberP V W))) :rule refl)
% 27.33/27.56 (step t661.t9 (cl (= (= W U) (= U W))) :rule all_simplify)
% 27.33/27.56 (step t661.t10 (cl (= (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule cong :premises (t661.t4 t661.t5 t661.t6 t661.t7 t661.t8 t661.t9))
% 27.33/27.56 (step t661 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) :rule bind)
% 27.33/27.56 (step t662 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule resolution :premises (t660 t661 a160))
% 27.33/27.56 (step t663 (cl (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule and_neg)
% 27.33/27.56 (step t664 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t665)
% 27.33/27.56 (assume t665.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t665.a1 (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))
% 27.33/27.56 (step t665.t1 (cl (=> (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t665.t2)
% 27.33/27.56 (assume t665.t2.a0 (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))
% 27.33/27.56 (assume t665.t2.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (step t665.t2.t1 (cl (= (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5) true) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule equiv_simplify)
% 27.33/27.56 (step t665.t2.t2 (cl (not (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5) true)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule equiv1 :premises (t665.t2.t1))
% 27.33/27.56 (step t665.t2.t3 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t665.t2.a1))
% 27.33/27.56 (step t665.t2.t4 (cl (= tptp.sk5 tptp.sk5)) :rule refl)
% 27.33/27.56 (step t665.t2.t5 (cl (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule cong :premises (t665.t2.t3 t665.t2.t4))
% 27.33/27.56 (step t665.t2.t6 (cl (= (= (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) true) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule equiv_simplify)
% 27.33/27.56 (step t665.t2.t7 (cl (= (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) true) (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule equiv2 :premises (t665.t2.t6))
% 27.33/27.56 (step t665.t2.t8 (cl (= (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) true)) :rule resolution :premises (t665.t2.t7 t665.t2.a0))
% 27.33/27.56 (step t665.t2.t9 (cl (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5) true)) :rule trans :premises (t665.t2.t5 t665.t2.t8))
% 27.33/27.56 (step t665.t2.t10 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule resolution :premises (t665.t2.t2 t665.t2.t9))
% 27.33/27.56 (step t665.t2 (cl (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule subproof :discharge (t665.t2.a0 t665.t2.a1))
% 27.33/27.56 (step t665.t3 (cl (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) :rule and_pos)
% 27.33/27.56 (step t665.t4 (cl (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t665.t5 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5) (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t665.t2 t665.t3 t665.t4))
% 27.33/27.56 (step t665.t6 (cl (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule reordering :premises (t665.t5))
% 27.33/27.56 (step t665.t7 (cl (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule contraction :premises (t665.t6))
% 27.33/27.56 (step t665.t8 (cl (=> (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule resolution :premises (t665.t1 t665.t7))
% 27.33/27.56 (step t665.t9 (cl (=> (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule implies_neg2)
% 27.33/27.56 (step t665.t10 (cl (=> (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (=> (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule resolution :premises (t665.t8 t665.t9))
% 27.33/27.56 (step t665.t11 (cl (=> (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule contraction :premises (t665.t10))
% 27.33/27.56 (step t665.t12 (cl (not (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule implies :premises (t665.t11))
% 27.33/27.56 (step t665.t13 (cl (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t665.t14 (cl (and (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t665.t13 t665.a1 t665.a0))
% 27.33/27.56 (step t665.t15 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule resolution :premises (t665.t12 t665.t14))
% 27.33/27.56 (step t665 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule subproof :discharge (t665.a0 t665.a1))
% 27.33/27.56 (step t666 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t667 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) :rule and_pos)
% 27.33/27.56 (step t668 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)))) :rule resolution :premises (t665 t666 t667))
% 27.33/27.56 (step t669 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule reordering :premises (t668))
% 27.33/27.56 (step t670 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule contraction :premises (t669))
% 27.33/27.56 (step t671 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule resolution :premises (t664 t670))
% 27.33/27.56 (step t672 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule implies_neg2)
% 27.33/27.56 (step t673 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule resolution :premises (t671 t672))
% 27.33/27.56 (step t674 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5))) :rule contraction :premises (t673))
% 27.33/27.56 (step t675 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule implies :premises (t674))
% 27.33/27.56 (step t676 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule resolution :premises (t663 t675))
% 27.33/27.56 (step t677 (cl (not (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.sk5)) :rule reordering :premises (t676))
% 27.33/27.56 (step t678 (cl (not (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)) :rule or_pos)
% 27.33/27.56 (step t679 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5) (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)))) :rule reordering :premises (t678))
% 27.33/27.56 (step t680 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) :rule or_pos)
% 27.33/27.56 (step t681 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule reordering :premises (t680))
% 27.33/27.56 (step t682 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t683)
% 27.33/27.56 (assume t683.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))
% 27.33/27.56 (step t683.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk5) (:= W tptp.nil)))
% 27.33/27.56 (step t683.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule or :premises (t683.t1))
% 27.33/27.56 (step t683.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule resolution :premises (t683.t2 t683.a0))
% 27.33/27.56 (step t683 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule subproof :discharge (t683.a0))
% 27.33/27.56 (step t684 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule resolution :premises (t682 t683))
% 27.33/27.56 (step t685 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule implies_neg2)
% 27.33/27.56 (step t686 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule resolution :premises (t684 t685))
% 27.33/27.56 (step t687 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule contraction :premises (t686))
% 27.33/27.56 (step t688 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule implies :premises (t687))
% 27.33/27.56 (step t689 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule equiv_pos2)
% 27.33/27.56 (anchor :step t690 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 27.33/27.56 (step t690.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t690.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t690.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t690.t4 (cl (= X X)) :rule refl)
% 27.33/27.56 (step t690.t5 (cl (= (= (tptp.app U (tptp.cons V W)) X) (= X (tptp.app U (tptp.cons V W))))) :rule all_simplify)
% 27.33/27.56 (step t690.t6 (cl (= (not (= (tptp.app U (tptp.cons V W)) X)) (not (= X (tptp.app U (tptp.cons V W)))))) :rule cong :premises (t690.t5))
% 27.33/27.56 (step t690.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.56 (step t690.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.56 (step t690.t9 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.56 (step t690.t10 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.33/27.56 (step t690.t11 (cl (= (tptp.memberP X V) (tptp.memberP X V))) :rule refl)
% 27.33/27.56 (step t690.t12 (cl (= (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V)))) :rule cong :premises (t690.t6 t690.t7 t690.t8 t690.t9 t690.t10 t690.t11))
% 27.33/27.56 (step t690 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))) :rule bind)
% 27.33/27.56 (step t691 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule all_simplify)
% 27.33/27.56 (anchor :step t692 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 27.33/27.56 (step t692.t1 (cl (= U U)) :rule refl)
% 27.33/27.56 (step t692.t2 (cl (= V V)) :rule refl)
% 27.33/27.56 (step t692.t3 (cl (= W W)) :rule refl)
% 27.33/27.56 (step t692.t4 (cl (= (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W))) true)) :rule all_simplify)
% 27.33/27.56 (step t692.t5 (cl (= (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not true))) :rule cong :premises (t692.t4))
% 27.33/27.56 (step t692.t6 (cl (= (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) false)) :rule trans :premises (t692.t5 t465))
% 27.33/27.56 (step t692.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.56 (step t692.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.56 (step t692.t9 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.56 (step t692.t10 (cl (= (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (not (tptp.ssList (tptp.app U (tptp.cons V W)))))) :rule refl)
% 27.33/27.56 (step t692.t11 (cl (= (tptp.memberP (tptp.app U (tptp.cons V W)) V) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) :rule refl)
% 27.33/27.56 (step t692.t12 (cl (= (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)) (or false (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule cong :premises (t692.t6 t692.t7 t692.t8 t692.t9 t692.t10 t692.t11))
% 27.33/27.56 (step t692.t13 (cl (= (or false (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule all_simplify)
% 27.33/27.56 (step t692.t14 (cl (= (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule trans :premises (t692.t12 t692.t13))
% 27.33/27.56 (step t692 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule bind)
% 27.33/27.56 (step t693 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule trans :premises (t691 t692))
% 27.33/27.56 (step t694 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule trans :premises (t690 t693))
% 27.33/27.56 (step t695 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) :rule resolution :premises (t689 t694 a174))
% 27.33/27.56 (step t696 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t697)
% 27.33/27.56 (assume t697.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 27.33/27.56 (step t697.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk5) (:= W tptp.sk7)))
% 27.33/27.56 (step t697.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule or :premises (t697.t1))
% 27.33/27.56 (step t697.t3 (cl (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule resolution :premises (t697.t2 t697.a0))
% 27.33/27.56 (step t697 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule subproof :discharge (t697.a0))
% 27.33/27.56 (step t698 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule resolution :premises (t696 t697))
% 27.33/27.56 (step t699 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (not (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)))) :rule implies_neg2)
% 27.33/27.56 (step t700 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)))) :rule resolution :premises (t698 t699))
% 27.33/27.56 (step t701 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5)))) :rule contraction :premises (t700))
% 27.33/27.56 (step t702 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.sk5))) :rule implies :premises (t701))
% 27.33/27.56 (step t703 (cl (not (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or_pos)
% 27.33/27.56 (step t704 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule reordering :premises (t703))
% 27.33/27.56 (step t705 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or_pos)
% 27.33/27.56 (step t706 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule reordering :premises (t705))
% 27.33/27.56 (step t707 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t708)
% 27.33/27.56 (assume t708.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 27.33/27.56 (step t708.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (step t708.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule or :premises (t708.t1))
% 27.33/27.56 (step t708.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t708.t2 t708.a0))
% 27.33/27.56 (step t708 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule subproof :discharge (t708.a0))
% 27.33/27.56 (step t709 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t707 t708))
% 27.33/27.56 (step t710 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule implies_neg2)
% 27.33/27.56 (step t711 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t709 t710))
% 27.33/27.56 (step t712 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule contraction :premises (t711))
% 27.33/27.56 (step t713 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies :premises (t712))
% 27.33/27.56 (step t714 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t715)
% 27.33/27.56 (assume t715.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 27.33/27.56 (step t715.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V)))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (:= V (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.56 (step t715.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V)))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule or :premises (t715.t1))
% 27.33/27.56 (step t715.t3 (cl (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t715.t2 t715.a0))
% 27.33/27.56 (step t715 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V)))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule subproof :discharge (t715.a0))
% 27.33/27.56 (step t716 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t714 t715))
% 27.33/27.56 (step t717 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.56 (step t718 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule resolution :premises (t716 t717))
% 27.33/27.56 (step t719 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule contraction :premises (t718))
% 27.33/27.56 (step t720 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V)))) (or (not (tptp.leq (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies :premises (t719))
% 27.33/27.56 (step t721 (cl (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule and_neg)
% 27.33/27.56 (step t722 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t723)
% 27.33/27.56 (assume t723.a0 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t723.a1 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t723.a2 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t723.a3 (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t723.a4 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t723.a5 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t723.a6 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t723.a7 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t723.a8 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.56 (step t723.t1 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule implies_neg1)
% 27.33/27.56 (anchor :step t723.t2)
% 27.33/27.56 (assume t723.t2.a0 (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t723.t2.a1 (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))
% 27.33/27.56 (assume t723.t2.a2 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))
% 27.33/27.56 (assume t723.t2.a3 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))
% 27.33/27.56 (assume t723.t2.a4 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))
% 27.33/27.56 (assume t723.t2.a5 (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (assume t723.t2.a6 (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t723.t2.a7 (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))
% 27.33/27.56 (assume t723.t2.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))
% 27.33/27.56 (step t723.t2.t1 (cl (= (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule equiv_simplify)
% 27.33/27.56 (step t723.t2.t2 (cl (not (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true)) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule equiv1 :premises (t723.t2.t1))
% 27.33/27.56 (step t723.t2.t3 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t723.t2.a8))
% 27.33/27.56 (step t723.t2.t4 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule symm :premises (t723.t2.t3))
% 27.33/27.56 (step t723.t2.t5 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t723.t2.a6))
% 27.33/27.56 (step t723.t2.t6 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t723.t2.t5))
% 27.33/27.56 (step t723.t2.t7 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t723.t2.a5))
% 27.33/27.56 (step t723.t2.t8 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule trans :premises (t723.t2.t7 t723.t2.a4))
% 27.33/27.56 (step t723.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t723.t2.t8))
% 27.33/27.56 (step t723.t2.t10 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t723.t2.a4))
% 27.33/27.56 (step t723.t2.t11 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t723.t2.t10))
% 27.33/27.56 (step t723.t2.t12 (cl (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t723.t2.t6 t723.t2.t9 t723.t2.t11))
% 27.33/27.56 (step t723.t2.t13 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.33/27.56 (step t723.t2.t14 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule cong :premises (t723.t2.t12 t723.t2.t13))
% 27.33/27.56 (step t723.t2.t15 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t723.t2.a7))
% 27.33/27.56 (step t723.t2.t16 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule symm :premises (t723.t2.t15))
% 27.33/27.56 (step t723.t2.t17 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t723.t2.t8))
% 27.33/27.56 (step t723.t2.t18 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)))) :rule cong :premises (t723.t2.a4))
% 27.33/27.56 (step t723.t2.t19 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule symm :premises (t723.t2.t18))
% 27.33/27.56 (step t723.t2.t20 (cl (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule trans :premises (t723.t2.t16 t723.t2.t17 t723.t2.t19))
% 27.33/27.56 (step t723.t2.t21 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule cong :premises (t723.t2.t14 t723.t2.t20))
% 27.33/27.56 (step t723.t2.t22 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule refl)
% 27.33/27.56 (step t723.t2.t23 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule symm :premises (t723.t2.a3))
% 27.33/27.56 (step t723.t2.t24 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t723.t2.t23))
% 27.33/27.56 (step t723.t2.t25 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t723.t2.t10 t723.t2.t24))
% 27.33/27.56 (step t723.t2.t26 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t723.t2.t25))
% 27.33/27.56 (step t723.t2.t27 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) tptp.nil)) :rule symm :premises (t723.t2.a2))
% 27.33/27.56 (step t723.t2.t28 (cl (= (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) :rule trans :premises (t723.t2.t18 t723.t2.t26 t723.t2.t27))
% 27.33/27.56 (step t723.t2.t29 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.tl (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule cong :premises (t723.t2.t22 t723.t2.t28))
% 27.33/27.56 (step t723.t2.t30 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule symm :premises (t723.t2.a1))
% 27.33/27.56 (step t723.t2.t31 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule trans :premises (t723.t2.a5 t723.t2.t4 t723.t2.t21 t723.t2.t29 t723.t2.t30))
% 27.33/27.56 (step t723.t2.t32 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule cong :premises (t723.t2.t31))
% 27.33/27.56 (step t723.t2.t33 (cl (= (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv_simplify)
% 27.33/27.56 (step t723.t2.t34 (cl (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule equiv2 :premises (t723.t2.t33))
% 27.33/27.56 (step t723.t2.t35 (cl (= (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) true)) :rule resolution :premises (t723.t2.t34 t723.t2.a0))
% 27.33/27.56 (step t723.t2.t36 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) true)) :rule trans :premises (t723.t2.t32 t723.t2.t35))
% 27.33/27.56 (step t723.t2.t37 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t723.t2.t2 t723.t2.t36))
% 27.33/27.56 (step t723.t2 (cl (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t723.t2.a0 t723.t2.a1 t723.t2.a2 t723.t2.a3 t723.t2.a4 t723.t2.a5 t723.t2.a6 t723.t2.a7 t723.t2.a8))
% 27.33/27.56 (step t723.t3 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t723.t4 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t723.t5 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t723.t6 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t723.t7 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t723.t8 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t723.t9 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t723.t10 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t723.t11 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t723.t12 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))))) :rule resolution :premises (t723.t2 t723.t3 t723.t4 t723.t5 t723.t6 t723.t7 t723.t8 t723.t9 t723.t10 t723.t11))
% 27.33/27.56 (step t723.t13 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule reordering :premises (t723.t12))
% 27.33/27.56 (step t723.t14 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule contraction :premises (t723.t13))
% 27.33/27.56 (step t723.t15 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t723.t1 t723.t14))
% 27.33/27.56 (step t723.t16 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 27.33/27.56 (step t723.t17 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t723.t15 t723.t16))
% 27.33/27.56 (step t723.t18 (cl (=> (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t723.t17))
% 27.33/27.56 (step t723.t19 (cl (not (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule implies :premises (t723.t18))
% 27.33/27.56 (step t723.t20 (cl (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_neg)
% 27.33/27.56 (step t723.t21 (cl (and (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule resolution :premises (t723.t20 t723.a3 t723.a8 t723.a4 t723.a1 t723.a0 t723.a2 t723.a6 t723.a5 t723.a7))
% 27.33/27.56 (step t723.t22 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t723.t19 t723.t21))
% 27.33/27.56 (step t723 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t723.a0 t723.a1 t723.a2 t723.a3 t723.a4 t723.a5 t723.a6 t723.a7 t723.a8))
% 27.33/27.56 (step t724 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t725 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t726 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t727 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t728 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule and_pos)
% 27.33/27.56 (step t729 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t730 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) :rule and_pos)
% 27.33/27.56 (step t731 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) :rule and_pos)
% 27.33/27.56 (step t732 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.33/27.56 (step t733 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule resolution :premises (t723 t724 t725 t726 t727 t728 t729 t730 t731 t732))
% 27.33/27.57 (step t734 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule reordering :premises (t733))
% 27.33/27.57 (step t735 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule contraction :premises (t734))
% 27.33/27.57 (step t736 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t722 t735))
% 27.33/27.57 (step t737 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 27.33/27.57 (step t738 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t736 t737))
% 27.33/27.57 (step t739 (cl (=> (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t738))
% 27.33/27.57 (step t740 (cl (not (and (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule implies :premises (t739))
% 27.33/27.57 (step t741 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t721 t740))
% 27.33/27.57 (step t742 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.app (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) :rule reordering :premises (t741))
% 27.33/27.57 (step t743 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule resolution :premises (t617 t631 t123 t633 t635 t642 a70 t659 t662 t677 t679 t681 t688 t695 t702 a139 t704 t706 t713 a61 t720 a158 t742 t335 t342 t247 t321 t328 t331 t310 t317 t296 t303 t306 t262 t292))
% 27.33/27.57 (step t744 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.totalorderedP (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule contraction :premises (t743))
% 27.33/27.57 (step t745 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule resolution :premises (t744 t269 a11 t277 a12 t606 t613 a66 t215))
% 27.33/27.57 (step t746 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))))) :rule contraction :premises (t745))
% 27.33/27.57 (step t747 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule resolution :premises (t746 t222 a46 t230 t105))
% 27.33/27.57 (step t748 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule contraction :premises (t747))
% 27.33/27.57 (step t749 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t748 t107 t194 a75))
% 27.33/27.57 (step t750 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= tptp.nil (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil))))) :rule contraction :premises (t749))
% 27.33/27.57 (step t751 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5))) :rule resolution :premises (t750 t125 t182 t185 t127 t159 t162 t140 t147 t150))
% 27.33/27.57 (step t752 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t751))
% 27.33/27.57 (step t753 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t752 t166 t173 a84))
% 27.33/27.57 (step t754 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil) tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t753))
% 27.33/27.57 (step t755 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule resolution :premises (t754 t129 t136 a85 t211))
% 27.33/27.57 (step t756 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule contraction :premises (t755))
% 27.33/27.57 (step t757 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t756 t233 t123 a194 a193 a192 a7 a119))
% 27.33/27.57 (step t758 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t103 t213 t235 t249 t260 t294 t308 t319 t333 t344 t346 t354 a194 t757))
% 27.33/27.57 (step t759 (cl (not (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t758))
% 27.33/27.57 (step t760 (cl (not (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule or_pos)
% 27.33/27.57 (step t761 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)) (not (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule reordering :premises (t760))
% 27.33/27.57 (step t762 (cl (not (= (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.neq tptp.sk4 tptp.nil))))) (not (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule equiv_pos2)
% 27.33/27.57 (step t763 (cl (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and :premises (t118))
% 27.33/27.57 (step t764 (cl (= (tptp.singletonP tptp.sk3) (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t763))
% 27.33/27.57 (step t765 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 27.33/27.57 (step t766 (cl (= (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t764 t765))
% 27.33/27.57 (step t767 (cl (or (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t762 t766 a201))
% 27.33/27.57 (step t768 (cl (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (t767))
% 27.33/27.57 (step t769 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule reordering :premises (t768))
% 27.33/27.57 (step t770 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)) :rule or_pos)
% 27.33/27.57 (step t771 (cl (tptp.neq tptp.sk4 tptp.nil) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (= tptp.nil tptp.sk4) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t770))
% 27.33/27.57 (step t772 (cl (not (= (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_pos2)
% 27.33/27.57 (step t773 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 27.33/27.57 (step t774 (cl (= (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true) (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 27.33/27.57 (step t775 (cl (not (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t774))
% 27.33/27.57 (step t776 (cl (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))))) :rule all_simplify)
% 27.33/27.57 (step t777 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.33/27.57 (step t778 (cl (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule all_simplify)
% 27.33/27.57 (step t779 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t777 t778))
% 27.33/27.57 (step t780 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) :rule all_simplify)
% 27.33/27.57 (step t781 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) true)) :rule trans :premises (t779 t780))
% 27.33/27.57 (step t782 (cl (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) :rule trans :premises (t776 t781))
% 27.33/27.57 (step t783 (cl (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t775 t782))
% 27.33/27.57 (step t784 (cl (= (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 27.33/27.57 (step t785 (cl (= (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t773 t783 t784))
% 27.33/27.57 (step t786 (cl (not (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) (not (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_pos2)
% 27.33/27.57 (step t787 (cl (= (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 27.33/27.57 (step t788 (cl (= (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 27.33/27.57 (step t789 (cl (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (not (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv2 :premises (t788))
% 27.33/27.57 (step t790 (cl (not (not (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule not_not)
% 27.33/27.57 (step t791 (cl (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t789 t790))
% 27.33/27.57 (step t792 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t793)
% 27.33/27.57 (assume t793.a0 (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.57 (assume t793.a1 (= tptp.nil tptp.sk4))
% 27.33/27.57 (assume t793.a2 (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))
% 27.33/27.57 (step t793.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 27.33/27.57 (step t793.t2 (cl (= (= true false) false)) :rule all_simplify)
% 27.33/27.57 (step t793.t3 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)) true) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv_simplify)
% 27.33/27.57 (step t793.t4 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)) true) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv2 :premises (t793.t3))
% 27.33/27.57 (step t793.t5 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)) true)) :rule resolution :premises (t793.t4 t793.a2))
% 27.33/27.57 (step t793.t6 (cl (= true (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule symm :premises (t793.t5))
% 27.33/27.57 (step t793.t7 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t793.a1))
% 27.33/27.57 (step t793.t8 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule refl)
% 27.33/27.57 (step t793.t9 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t793.t7 t793.t8))
% 27.33/27.57 (step t793.t10 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 27.33/27.57 (step t793.t11 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t793.t10))
% 27.33/27.57 (step t793.t12 (cl (not (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule not_not)
% 27.33/27.57 (step t793.t13 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t793.t11 t793.t12))
% 27.33/27.57 (step t793.t14 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) :rule resolution :premises (t793.t13 t793.a0))
% 27.33/27.57 (step t793.t15 (cl (= true false)) :rule trans :premises (t793.t6 t793.t9 t793.t14))
% 27.33/27.57 (step t793.t16 (cl false) :rule resolution :premises (t793.t1 t793.t2 t793.t15))
% 27.33/27.57 (step t793 (cl (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) :rule subproof :discharge (t793.a0 t793.a1 t793.a2))
% 27.33/27.57 (step t794 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 27.33/27.57 (step t795 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 27.33/27.57 (step t796 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 27.33/27.57 (step t797 (cl false (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t793 t794 t795 t796))
% 27.33/27.57 (step t798 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) false) :rule reordering :premises (t797))
% 27.33/27.57 (step t799 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) false) :rule contraction :premises (t798))
% 27.33/27.57 (step t800 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) false) :rule resolution :premises (t792 t799))
% 27.33/27.57 (step t801 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (not false)) :rule implies_neg2)
% 27.33/27.57 (step t802 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule resolution :premises (t800 t801))
% 27.33/27.57 (step t803 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule contraction :premises (t802))
% 27.33/27.57 (step t804 (cl (= (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_simplify)
% 27.33/27.57 (step t805 (cl (not (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false)) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv1 :premises (t804))
% 27.33/27.57 (step t806 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t803 t805))
% 27.33/27.57 (step t807 (cl (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule resolution :premises (t791 t806))
% 27.33/27.57 (step t808 (cl (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false))) :rule cong :premises (t787 t807))
% 27.33/27.57 (step t809 (cl (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) false) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) :rule all_simplify)
% 27.33/27.57 (step t810 (cl (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))))) :rule trans :premises (t808 t809))
% 27.33/27.57 (step t811 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t812)
% 27.33/27.57 (assume t812.a0 (= tptp.nil tptp.sk4))
% 27.33/27.57 (assume t812.a1 (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.57 (assume t812.a2 (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))
% 27.33/27.57 (step t812.t1 (cl (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_neg)
% 27.33/27.57 (step t812.t2 (cl (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t812.t1 t812.a1 t812.a0 t812.a2))
% 27.33/27.57 (step t812 (cl (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t812.a0 t812.a1 t812.a2))
% 27.33/27.57 (step t813 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 27.33/27.57 (step t814 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 27.33/27.57 (step t815 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 27.33/27.57 (step t816 (cl (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t812 t813 t814 t815))
% 27.33/27.57 (step t817 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t816))
% 27.33/27.57 (step t818 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t817))
% 27.33/27.57 (step t819 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t811 t818))
% 27.33/27.57 (step t820 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t821 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t819 t820))
% 27.33/27.57 (step t822 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t821))
% 27.33/27.57 (step t823 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t786 t810 t822))
% 27.33/27.57 (step t824 (cl (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule not_and :premises (t823))
% 27.33/27.57 (step t825 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 27.33/27.57 (step t826 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) :rule or_neg)
% 27.33/27.57 (step t827 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule or_neg)
% 27.33/27.57 (step t828 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t824 t825 t826 t827))
% 27.33/27.57 (step t829 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t828))
% 27.33/27.57 (step t830 (cl (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t772 t785 t829))
% 27.33/27.57 (step t831 (cl (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t830))
% 27.33/27.57 (step t832 (cl (not (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 27.33/27.57 (step t833 (cl (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t832))
% 27.33/27.57 (step t834 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t835)
% 27.33/27.57 (assume t835.a0 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.33/27.57 (step t835.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.57 (step t835.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t835.t1))
% 27.33/27.57 (step t835.t3 (cl (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t835.t2 t835.a0))
% 27.33/27.57 (step t835 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t835.a0))
% 27.33/27.57 (step t836 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t834 t835))
% 27.33/27.57 (step t837 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t838 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t836 t837))
% 27.33/27.57 (step t839 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t838))
% 27.33/27.57 (step t840 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t839))
% 27.33/27.57 (step t841 (cl (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t840 a79))
% 27.33/27.57 (step t842 (cl (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t833 t138 t152 t841))
% 27.33/27.57 (step t843 (cl (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 27.33/27.57 (step t844 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)) (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t843))
% 27.33/27.57 (step t845 (cl (not (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule equiv_pos2)
% 27.33/27.57 (step t846 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 27.33/27.57 (step t847 (cl (= tptp.sk3 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule and :premises (t118))
% 27.33/27.57 (step t848 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule cong :premises (t846 t847))
% 27.33/27.57 (step t849 (cl (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t845 t848 a191))
% 27.33/27.57 (step t850 (cl (not (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 27.33/27.57 (step t851 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)) (not (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t850))
% 27.33/27.57 (step t852 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t853)
% 27.33/27.57 (assume t853.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))
% 27.33/27.57 (step t853.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V (tptp.cons tptp.sk5 tptp.nil)) (:= W tptp.sk7)))
% 27.33/27.57 (step t853.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t853.t1))
% 27.33/27.57 (step t853.t3 (cl (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t853.t2 t853.a0))
% 27.33/27.57 (step t853 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t853.a0))
% 27.33/27.57 (step t854 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t852 t853))
% 27.33/27.57 (step t855 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t856 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t854 t855))
% 27.33/27.57 (step t857 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t856))
% 27.33/27.57 (step t858 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t857))
% 27.33/27.57 (step t859 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t860 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 27.33/27.57 (step t860.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t860.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t860.t3 (cl (= W W)) :rule refl)
% 27.33/27.57 (step t860.t4 (cl (= X X)) :rule refl)
% 27.33/27.57 (step t860.t5 (cl (= (= (tptp.app (tptp.app U V) W) X) (= X (tptp.app (tptp.app U V) W)))) :rule all_simplify)
% 27.33/27.57 (step t860.t6 (cl (= (not (= (tptp.app (tptp.app U V) W) X)) (not (= X (tptp.app (tptp.app U V) W))))) :rule cong :premises (t860.t5))
% 27.33/27.57 (step t860.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.57 (step t860.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t860.t9 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.57 (step t860.t10 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.33/27.57 (step t860.t11 (cl (= (tptp.segmentP X V) (tptp.segmentP X V))) :rule refl)
% 27.33/27.57 (step t860.t12 (cl (= (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V)) (or (not (= X (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V)))) :rule cong :premises (t860.t6 t860.t7 t860.t8 t860.t9 t860.t10 t860.t11))
% 27.33/27.57 (step t860 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))) :rule bind)
% 27.33/27.57 (step t861 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule all_simplify)
% 27.33/27.57 (anchor :step t862 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 27.33/27.57 (step t862.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t862.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t862.t3 (cl (= W W)) :rule refl)
% 27.33/27.57 (step t862.t4 (cl (= (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W)) true)) :rule all_simplify)
% 27.33/27.57 (step t862.t5 (cl (= (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not true))) :rule cong :premises (t862.t4))
% 27.33/27.57 (step t862.t6 (cl (= (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) false)) :rule trans :premises (t862.t5 t465))
% 27.33/27.57 (step t862.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.57 (step t862.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t862.t9 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.57 (step t862.t10 (cl (= (not (tptp.ssList (tptp.app (tptp.app U V) W))) (not (tptp.ssList (tptp.app (tptp.app U V) W))))) :rule refl)
% 27.33/27.57 (step t862.t11 (cl (= (tptp.segmentP (tptp.app (tptp.app U V) W) V) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) :rule refl)
% 27.33/27.57 (step t862.t12 (cl (= (or (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)) (or false (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule cong :premises (t862.t6 t862.t7 t862.t8 t862.t9 t862.t10 t862.t11))
% 27.33/27.57 (step t862.t13 (cl (= (or false (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule all_simplify)
% 27.33/27.57 (step t862.t14 (cl (= (or (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule trans :premises (t862.t12 t862.t13))
% 27.33/27.57 (step t862 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule bind)
% 27.33/27.57 (step t863 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= X (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule trans :premises (t861 t862))
% 27.33/27.57 (step t864 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule trans :premises (t860 t863))
% 27.33/27.57 (step t865 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule resolution :premises (t859 t864 a172))
% 27.33/27.57 (step t866 (cl (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t858 t865))
% 27.33/27.57 (step t867 (cl (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t851 t123 a193 a194 t138 t866))
% 27.33/27.57 (step t868 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t869)
% 27.33/27.57 (assume t869.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 27.33/27.57 (step t869.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (:= W (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.57 (step t869.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t869.t1))
% 27.33/27.57 (step t869.t3 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t869.t2 t869.a0))
% 27.33/27.57 (step t869 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t869.a0))
% 27.33/27.57 (step t870 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t868 t869))
% 27.33/27.57 (step t871 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t872 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t870 t871))
% 27.33/27.57 (step t873 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t872))
% 27.33/27.57 (step t874 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t873))
% 27.33/27.57 (step t875 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.segmentP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t874 a151))
% 27.33/27.57 (step t876 (cl (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t844 t123 a188 t849 t138 t867 t875))
% 27.33/27.57 (step t877 (cl (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t831 t842 t876))
% 27.33/27.57 (step t878 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t879)
% 27.33/27.57 (assume t879.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 27.33/27.57 (step t879.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk4)))
% 27.33/27.57 (step t879.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule or :premises (t879.t1))
% 27.33/27.57 (step t879.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t879.t2 t879.a0))
% 27.33/27.57 (step t879 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t879.a0))
% 27.33/27.57 (step t880 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t878 t879))
% 27.33/27.57 (step t881 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 27.33/27.57 (step t882 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t880 t881))
% 27.33/27.57 (step t883 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t882))
% 27.33/27.57 (step t884 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule implies :premises (t883))
% 27.33/27.57 (step t885 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t886 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.57 (step t886.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t886.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t886.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t886.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.57 (step t886.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 27.33/27.57 (step t886.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 27.33/27.57 (step t886.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t886.t3 t886.t4 t886.t5 t886.t6))
% 27.33/27.57 (step t886 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 27.33/27.57 (step t887 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t885 t886 a99))
% 27.33/27.57 (step t888 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t884 t887))
% 27.33/27.57 (step t889 (cl (tptp.neq tptp.sk4 tptp.nil)) :rule resolution :premises (t771 a7 a188 t877 t888))
% 27.33/27.57 (step t890 (cl (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t769 t889))
% 27.33/27.57 (step t891 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t892)
% 27.33/27.57 (assume t892.a0 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))
% 27.33/27.57 (step t892.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))))
% 27.33/27.57 (step t892.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule or :premises (t892.t1))
% 27.33/27.57 (step t892.t3 (cl (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t892.t2 t892.a0))
% 27.33/27.57 (step t892 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule subproof :discharge (t892.a0))
% 27.33/27.57 (step t893 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t891 t892))
% 27.33/27.57 (step t894 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (not (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t895 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule resolution :premises (t893 t894))
% 27.33/27.57 (step t896 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))))) :rule contraction :premises (t895))
% 27.33/27.57 (step t897 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule implies :premises (t896))
% 27.33/27.57 (step t898 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))) (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U)))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t899 :args ((U $$unsorted) (:= U U)))
% 27.33/27.57 (step t899.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t899.t2 (cl (= (not (tptp.singletonP U)) (not (tptp.singletonP U)))) :rule refl)
% 27.33/27.57 (step t899.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t899.t4 (cl (= (= (tptp.cons (tptp.skaf44 U) tptp.nil) U) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) :rule all_simplify)
% 27.33/27.57 (step t899.t5 (cl (= (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule cong :premises (t899.t2 t899.t3 t899.t4))
% 27.33/27.57 (step t899 (cl (= (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))) :rule bind)
% 27.33/27.57 (step t900 (cl (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule resolution :premises (t898 t899 a100))
% 27.33/27.57 (step t901 (cl (or (not (tptp.singletonP (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil)))) :rule resolution :premises (t897 t900))
% 27.33/27.57 (step t902 (cl (= (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) tptp.nil))) :rule resolution :premises (t761 t123 t890 t901))
% 27.33/27.57 (step t903 (cl (not (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) :rule or_pos)
% 27.33/27.57 (step t904 (cl (not (tptp.ssList tptp.sk6)) (not (tptp.ssItem tptp.sk8)) (not (tptp.memberP tptp.sk6 tptp.sk8)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))) (not (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule reordering :premises (t903))
% 27.33/27.57 (step t905 (cl (tptp.memberP tptp.sk6 tptp.sk8) (tptp.memberP tptp.sk7 tptp.sk8)) :rule or :premises (a197))
% 27.33/27.57 (step t906 (cl (not (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP tptp.nil tptp.sk8) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))))) (not (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP tptp.nil tptp.sk8) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule equiv_pos2)
% 27.33/27.57 (step t907 (cl (= (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule refl)
% 27.33/27.57 (step t908 (cl (= (= (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8)) true) (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8)))) :rule equiv_simplify)
% 27.33/27.57 (step t909 (cl (not (= (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8)) true)) (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8))) :rule equiv1 :premises (t908))
% 27.33/27.57 (step t910 (cl (= (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8)) (= (tptp.memberP tptp.nil tptp.sk8) (not (not (tptp.memberP tptp.nil tptp.sk8)))))) :rule all_simplify)
% 27.33/27.57 (step t911 (cl (= (tptp.memberP tptp.nil tptp.sk8) (tptp.memberP tptp.nil tptp.sk8))) :rule refl)
% 27.33/27.57 (step t912 (cl (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8))) :rule all_simplify)
% 27.33/27.57 (step t913 (cl (= (= (tptp.memberP tptp.nil tptp.sk8) (not (not (tptp.memberP tptp.nil tptp.sk8)))) (= (tptp.memberP tptp.nil tptp.sk8) (tptp.memberP tptp.nil tptp.sk8)))) :rule cong :premises (t911 t912))
% 27.33/27.57 (step t914 (cl (= (= (tptp.memberP tptp.nil tptp.sk8) (tptp.memberP tptp.nil tptp.sk8)) true)) :rule all_simplify)
% 27.33/27.57 (step t915 (cl (= (= (tptp.memberP tptp.nil tptp.sk8) (not (not (tptp.memberP tptp.nil tptp.sk8)))) true)) :rule trans :premises (t913 t914))
% 27.33/27.57 (step t916 (cl (= (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8)) true)) :rule trans :premises (t910 t915))
% 27.33/27.57 (step t917 (cl (= (not (not (tptp.memberP tptp.nil tptp.sk8))) (tptp.memberP tptp.nil tptp.sk8))) :rule resolution :premises (t909 t916))
% 27.33/27.57 (step t918 (cl (= (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule refl)
% 27.33/27.57 (step t919 (cl (= (not (tptp.memberP tptp.sk7 tptp.sk8)) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule refl)
% 27.33/27.57 (step t920 (cl (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP tptp.nil tptp.sk8) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))))) :rule cong :premises (t907 t917 t5 t918 t919))
% 27.33/27.57 (step t921 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule and_neg)
% 27.33/27.57 (step t922 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t923)
% 27.33/27.57 (assume t923.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 27.33/27.57 (assume t923.a1 (not (tptp.memberP tptp.nil tptp.sk8)))
% 27.33/27.57 (assume t923.a2 (= tptp.nil tptp.sk7))
% 27.33/27.57 (assume t923.a3 (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))
% 27.33/27.57 (step t923.t1 (cl (=> (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t923.t2)
% 27.33/27.57 (assume t923.t2.a0 (not (tptp.memberP tptp.nil tptp.sk8)))
% 27.33/27.57 (assume t923.t2.a1 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 27.33/27.57 (assume t923.t2.a2 (= tptp.nil tptp.sk7))
% 27.33/27.57 (assume t923.t2.a3 (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))
% 27.33/27.57 (step t923.t2.t1 (cl (= (= (tptp.memberP tptp.sk7 tptp.sk8) false) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule equiv_simplify)
% 27.33/27.57 (step t923.t2.t2 (cl (not (= (tptp.memberP tptp.sk7 tptp.sk8) false)) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule equiv1 :premises (t923.t2.t1))
% 27.33/27.57 (step t923.t2.t3 (cl (= tptp.sk8 tptp.sk8)) :rule refl)
% 27.33/27.57 (step t923.t2.t4 (cl (= (tptp.memberP tptp.sk7 tptp.sk8) (tptp.memberP (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7) tptp.sk8))) :rule cong :premises (t923.t2.a3 t923.t2.t3))
% 27.33/27.57 (step t923.t2.t5 (cl (= (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7) tptp.sk7)) :rule symm :premises (t923.t2.a3))
% 27.33/27.57 (step t923.t2.t6 (cl (= tptp.sk7 tptp.nil)) :rule symm :premises (t923.t2.a2))
% 27.33/27.57 (step t923.t2.t7 (cl (= tptp.sk7 (tptp.app tptp.nil tptp.nil))) :rule trans :premises (t923.t2.t6 t923.t2.a1))
% 27.33/27.57 (step t923.t2.t8 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t923.t2.a1))
% 27.33/27.57 (step t923.t2.t9 (cl (= (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7) tptp.nil)) :rule trans :premises (t923.t2.t5 t923.t2.t7 t923.t2.t8))
% 27.33/27.57 (step t923.t2.t10 (cl (= (tptp.memberP (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7) tptp.sk8) (tptp.memberP tptp.nil tptp.sk8))) :rule cong :premises (t923.t2.t9 t923.t2.t3))
% 27.33/27.57 (step t923.t2.t11 (cl (= (= (tptp.memberP tptp.nil tptp.sk8) false) (not (tptp.memberP tptp.nil tptp.sk8)))) :rule equiv_simplify)
% 27.33/27.57 (step t923.t2.t12 (cl (= (tptp.memberP tptp.nil tptp.sk8) false) (not (not (tptp.memberP tptp.nil tptp.sk8)))) :rule equiv2 :premises (t923.t2.t11))
% 27.33/27.57 (step t923.t2.t13 (cl (not (not (not (tptp.memberP tptp.nil tptp.sk8)))) (tptp.memberP tptp.nil tptp.sk8)) :rule not_not)
% 27.33/27.57 (step t923.t2.t14 (cl (= (tptp.memberP tptp.nil tptp.sk8) false) (tptp.memberP tptp.nil tptp.sk8)) :rule resolution :premises (t923.t2.t12 t923.t2.t13))
% 27.33/27.57 (step t923.t2.t15 (cl (= (tptp.memberP tptp.nil tptp.sk8) false)) :rule resolution :premises (t923.t2.t14 t923.t2.a0))
% 27.33/27.57 (step t923.t2.t16 (cl (= (tptp.memberP tptp.sk7 tptp.sk8) false)) :rule trans :premises (t923.t2.t4 t923.t2.t10 t923.t2.t15))
% 27.33/27.57 (step t923.t2.t17 (cl (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule resolution :premises (t923.t2.t2 t923.t2.t16))
% 27.33/27.57 (step t923.t2 (cl (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule subproof :discharge (t923.t2.a0 t923.t2.a1 t923.t2.a2 t923.t2.a3))
% 27.33/27.57 (step t923.t3 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.nil tptp.sk8))) :rule and_pos)
% 27.33/27.57 (step t923.t4 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 27.33/27.57 (step t923.t5 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 27.33/27.57 (step t923.t6 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) :rule and_pos)
% 27.33/27.57 (step t923.t7 (cl (not (tptp.memberP tptp.sk7 tptp.sk8)) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule resolution :premises (t923.t2 t923.t3 t923.t4 t923.t5 t923.t6))
% 27.33/27.57 (step t923.t8 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule reordering :premises (t923.t7))
% 27.33/27.57 (step t923.t9 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule contraction :premises (t923.t8))
% 27.33/27.57 (step t923.t10 (cl (=> (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule resolution :premises (t923.t1 t923.t9))
% 27.33/27.57 (step t923.t11 (cl (=> (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule implies_neg2)
% 27.33/27.57 (step t923.t12 (cl (=> (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (=> (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule resolution :premises (t923.t10 t923.t11))
% 27.33/27.57 (step t923.t13 (cl (=> (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule contraction :premises (t923.t12))
% 27.33/27.57 (step t923.t14 (cl (not (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule implies :premises (t923.t13))
% 27.33/27.57 (step t923.t15 (cl (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule and_neg)
% 27.33/27.57 (step t923.t16 (cl (and (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule resolution :premises (t923.t15 t923.a1 t923.a0 t923.a2 t923.a3))
% 27.33/27.57 (step t923.t17 (cl (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule resolution :premises (t923.t14 t923.t16))
% 27.33/27.57 (step t923 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule subproof :discharge (t923.a0 t923.a1 t923.a2 t923.a3))
% 27.33/27.57 (step t924 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 27.33/27.57 (step t925 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.nil tptp.sk8))) :rule and_pos)
% 27.33/27.57 (step t926 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 27.33/27.57 (step t927 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) :rule and_pos)
% 27.33/27.57 (step t928 (cl (not (tptp.memberP tptp.sk7 tptp.sk8)) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule resolution :premises (t923 t924 t925 t926 t927))
% 27.33/27.57 (step t929 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule reordering :premises (t928))
% 27.33/27.57 (step t930 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule contraction :premises (t929))
% 27.33/27.57 (step t931 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule resolution :premises (t922 t930))
% 27.33/27.57 (step t932 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule implies_neg2)
% 27.33/27.57 (step t933 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule resolution :premises (t931 t932))
% 27.33/27.57 (step t934 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule contraction :premises (t933))
% 27.33/27.57 (step t935 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.memberP tptp.nil tptp.sk8)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule implies :premises (t934))
% 27.33/27.57 (step t936 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule resolution :premises (t921 t935))
% 27.33/27.57 (step t937 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule or_neg)
% 27.33/27.57 (step t938 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (not (tptp.memberP tptp.nil tptp.sk8))))) :rule or_neg)
% 27.33/27.57 (step t939 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (= tptp.nil tptp.sk7)))) :rule or_neg)
% 27.33/27.57 (step t940 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule or_neg)
% 27.33/27.57 (step t941 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (not (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule or_neg)
% 27.33/27.57 (step t942 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule resolution :premises (t936 t937 t938 t939 t940 t941))
% 27.33/27.57 (step t943 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.memberP tptp.nil tptp.sk8))) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule contraction :premises (t942))
% 27.33/27.57 (step t944 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP tptp.nil tptp.sk8) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8)))) :rule resolution :premises (t906 t920 t943))
% 27.33/27.57 (step t945 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.memberP tptp.nil tptp.sk8) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule or :premises (t944))
% 27.33/27.57 (step t946 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (tptp.memberP tptp.sk7 tptp.sk8)) (tptp.memberP tptp.nil tptp.sk8) (not (= tptp.nil tptp.sk7)) (not (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule reordering :premises (t945))
% 27.33/27.57 (step t947 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t948 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.57 (step t948.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t948.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t948.t3 (cl (= (not (= tptp.nil U)) (not (= tptp.nil U)))) :rule refl)
% 27.33/27.57 (step t948.t4 (cl (= (not (= tptp.nil V)) (not (= tptp.nil V)))) :rule refl)
% 27.33/27.57 (step t948.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.57 (step t948.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t948.t7 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 27.33/27.57 (step t948.t8 (cl (= (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V))))) :rule cong :premises (t948.t3 t948.t4 t948.t5 t948.t6 t948.t7))
% 27.33/27.57 (step t948 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))))) :rule bind)
% 27.33/27.57 (step t949 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 27.33/27.57 (step t950 (cl (= (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule refl)
% 27.33/27.57 (step t951 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule cong :premises (t466 t466 t200 t200 t950))
% 27.33/27.57 (step t952 (cl (= (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 27.33/27.57 (step t953 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t951 t952))
% 27.33/27.57 (step t954 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t949 t953))
% 27.33/27.57 (step t955 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t948 t954))
% 27.33/27.57 (step t956 (cl (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t947 t955 a144))
% 27.33/27.57 (step t957 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule or :premises (t956))
% 27.33/27.57 (step t958 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule resolution :premises (t957 a7))
% 27.33/27.57 (step t959 (cl (not (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8))) :rule or_pos)
% 27.33/27.57 (step t960 (cl (not (tptp.ssItem tptp.sk8)) (not (tptp.memberP tptp.nil tptp.sk8)) (not (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule reordering :premises (t959))
% 27.33/27.57 (step t961 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t962)
% 27.33/27.57 (assume t962.a0 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 27.33/27.57 (step t962.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk8)))
% 27.33/27.57 (step t962.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule or :premises (t962.t1))
% 27.33/27.57 (step t962.t3 (cl (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule resolution :premises (t962.t2 t962.a0))
% 27.33/27.57 (step t962 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule subproof :discharge (t962.a0))
% 27.33/27.57 (step t963 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule resolution :premises (t961 t962))
% 27.33/27.57 (step t964 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (not (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule implies_neg2)
% 27.33/27.57 (step t965 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule resolution :premises (t963 t964))
% 27.33/27.57 (step t966 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule contraction :premises (t965))
% 27.33/27.57 (step t967 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule implies :premises (t966))
% 27.33/27.57 (step t968 (cl (or (not (tptp.memberP tptp.nil tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule resolution :premises (t967 a70))
% 27.33/27.57 (step t969 (cl (not (tptp.memberP tptp.nil tptp.sk8))) :rule resolution :premises (t960 a196 t968))
% 27.33/27.57 (step t970 (cl (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t757 t902))
% 27.33/27.57 (step t971 (cl (= tptp.nil tptp.sk7)) :rule resolution :premises (t346 a194 t970 t354))
% 27.33/27.57 (step t972 (cl (not (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) :rule or_pos)
% 27.33/27.57 (step t973 (cl (not (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) :rule contraction :premises (t972))
% 27.33/27.57 (step t974 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)) (not (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule reordering :premises (t973))
% 27.33/27.57 (step t975 (cl (not (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7)) :rule or_pos)
% 27.33/27.57 (step t976 (cl (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7) (not (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7)))) :rule reordering :premises (t975))
% 27.33/27.57 (step t977 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t978)
% 27.33/27.57 (assume t978.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 27.33/27.57 (step t978.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U)))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 27.33/27.57 (step t978.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U)))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) :rule or :premises (t978.t1))
% 27.33/27.57 (step t978.t3 (cl (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) :rule resolution :premises (t978.t2 t978.a0))
% 27.33/27.57 (step t978 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U)))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) :rule subproof :discharge (t978.a0))
% 27.33/27.57 (step t979 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) :rule resolution :premises (t977 t978))
% 27.33/27.57 (step t980 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7)))) :rule implies_neg2)
% 27.33/27.57 (step t981 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7)))) :rule resolution :premises (t979 t980))
% 27.33/27.57 (step t982 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7)))) :rule contraction :premises (t981))
% 27.33/27.57 (step t983 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U)))) (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) :rule implies :premises (t982))
% 27.33/27.57 (step t984 (cl (or (not (tptp.ssList tptp.sk7)) (tptp.rearsegP tptp.sk7 tptp.sk7))) :rule resolution :premises (t983 a58))
% 27.33/27.57 (step t985 (cl (tptp.rearsegP tptp.sk7 tptp.sk7)) :rule resolution :premises (t976 a194 t984))
% 27.33/27.57 (step t986 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t987)
% 27.33/27.57 (assume t987.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))))
% 27.33/27.57 (step t987.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.sk7)))
% 27.33/27.57 (step t987.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule or :premises (t987.t1))
% 27.33/27.57 (step t987.t3 (cl (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule resolution :premises (t987.t2 t987.a0))
% 27.33/27.57 (step t987 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule subproof :discharge (t987.a0))
% 27.33/27.57 (step t988 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule resolution :premises (t986 t987))
% 27.33/27.57 (step t989 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (not (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule implies_neg2)
% 27.33/27.57 (step t990 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule resolution :premises (t988 t989))
% 27.33/27.57 (step t991 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))))) :rule contraction :premises (t990))
% 27.33/27.57 (step t992 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule implies :premises (t991))
% 27.33/27.57 (step t993 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t994 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.57 (step t994.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t994.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t994.t3 (cl (= (not (tptp.rearsegP U V)) (not (tptp.rearsegP U V)))) :rule refl)
% 27.33/27.57 (step t994.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.33/27.57 (step t994.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t994.t6 (cl (= (= (tptp.app (tptp.skaf46 U V) V) U) (= U (tptp.app (tptp.skaf46 U V) V)))) :rule all_simplify)
% 27.33/27.57 (step t994.t7 (cl (= (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) :rule cong :premises (t994.t3 t994.t4 t994.t5 t994.t6))
% 27.33/27.57 (step t994 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V)))))) :rule bind)
% 27.33/27.57 (step t995 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf46 U V) V))))) :rule resolution :premises (t993 t994 a130))
% 27.33/27.57 (step t996 (cl (or (not (tptp.rearsegP tptp.sk7 tptp.sk7)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7)))) :rule resolution :premises (t992 t995))
% 27.33/27.57 (step t997 (cl (= tptp.sk7 (tptp.app (tptp.skaf46 tptp.sk7 tptp.sk7) tptp.sk7))) :rule resolution :premises (t974 a194 t985 t996))
% 27.33/27.57 (step t998 (cl (not (tptp.memberP tptp.sk7 tptp.sk8))) :rule resolution :premises (t946 t958 t969 t971 t997))
% 27.33/27.57 (step t999 (cl (tptp.memberP tptp.sk6 tptp.sk8)) :rule resolution :premises (t905 t998))
% 27.33/27.57 (step t1000 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1001)
% 27.33/27.57 (assume t1001.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))
% 27.33/27.57 (step t1001.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk8)))
% 27.33/27.57 (step t1001.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule or :premises (t1001.t1))
% 27.33/27.57 (step t1001.t3 (cl (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule resolution :premises (t1001.t2 t1001.a0))
% 27.33/27.57 (step t1001 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule subproof :discharge (t1001.a0))
% 27.33/27.57 (step t1002 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule resolution :premises (t1000 t1001))
% 27.33/27.57 (step t1003 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (not (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule implies_neg2)
% 27.33/27.57 (step t1004 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule resolution :premises (t1002 t1003))
% 27.33/27.57 (step t1005 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule contraction :premises (t1004))
% 27.33/27.57 (step t1006 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule implies :premises (t1005))
% 27.33/27.57 (step t1007 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t1008 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.33/27.57 (step t1008.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t1008.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t1008.t3 (cl (= (not (tptp.memberP U V)) (not (tptp.memberP U V)))) :rule refl)
% 27.33/27.57 (step t1008.t4 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.57 (step t1008.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t1008.t6 (cl (= (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) :rule all_simplify)
% 27.33/27.57 (step t1008.t7 (cl (= (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule cong :premises (t1008.t3 t1008.t4 t1008.t5 t1008.t6))
% 27.33/27.57 (step t1008 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))) :rule bind)
% 27.33/27.57 (step t1009 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule resolution :premises (t1007 t1008 a168))
% 27.33/27.57 (step t1010 (cl (or (not (tptp.memberP tptp.sk6 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk6)) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule resolution :premises (t1006 t1009))
% 27.33/27.57 (step t1011 (cl (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) :rule resolution :premises (t904 a193 a196 t999 t1010))
% 27.33/27.57 (step t1012 (cl (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t759 t902 t1011))
% 27.33/27.57 (step t1013 (cl (not (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5)) :rule or_pos)
% 27.33/27.57 (step t1014 (cl (tptp.leq tptp.sk8 tptp.sk5) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.lt tptp.sk8 tptp.sk5)) (not (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5)))) :rule reordering :premises (t1013))
% 27.33/27.57 (step t1015 (cl (not (tptp.leq tptp.sk8 tptp.sk5)) (tptp.memberP tptp.sk7 tptp.sk8)) :rule or :premises (a199))
% 27.33/27.57 (step t1016 (cl (tptp.memberP tptp.sk7 tptp.sk8) (not (tptp.leq tptp.sk8 tptp.sk5))) :rule reordering :premises (t1015))
% 27.33/27.57 (step t1017 (cl (not (tptp.leq tptp.sk8 tptp.sk5))) :rule resolution :premises (t1016 t998))
% 27.33/27.57 (step t1018 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1019)
% 27.33/27.57 (assume t1019.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 27.33/27.57 (step t1019.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk8) (:= V tptp.sk5)))
% 27.33/27.57 (step t1019.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) :rule or :premises (t1019.t1))
% 27.33/27.57 (step t1019.t3 (cl (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) :rule resolution :premises (t1019.t2 t1019.a0))
% 27.33/27.57 (step t1019 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) :rule subproof :discharge (t1019.a0))
% 27.33/27.57 (step t1020 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) :rule resolution :premises (t1018 t1019))
% 27.33/27.57 (step t1021 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) (not (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5)))) :rule implies_neg2)
% 27.33/27.57 (step t1022 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5)))) :rule resolution :premises (t1020 t1021))
% 27.33/27.57 (step t1023 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5)))) :rule contraction :premises (t1022))
% 27.33/27.57 (step t1024 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V)))) (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) :rule implies :premises (t1023))
% 27.33/27.57 (step t1025 (cl (or (not (tptp.lt tptp.sk8 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (tptp.leq tptp.sk8 tptp.sk5))) :rule resolution :premises (t1024 a102))
% 27.33/27.57 (step t1026 (cl (not (tptp.lt tptp.sk8 tptp.sk5))) :rule resolution :premises (t1014 t1017 a192 a196 t1025))
% 27.33/27.57 (step t1027 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1028)
% 27.33/27.57 (assume t1028.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 27.33/27.57 (step t1028.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6)))) :rule forall_inst :args ((:= U tptp.sk8) (:= V tptp.sk6)))
% 27.33/27.57 (step t1028.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) :rule or :premises (t1028.t1))
% 27.33/27.57 (step t1028.t3 (cl (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) :rule resolution :premises (t1028.t2 t1028.a0))
% 27.33/27.57 (step t1028 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) :rule subproof :discharge (t1028.a0))
% 27.33/27.57 (step t1029 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) :rule resolution :premises (t1027 t1028))
% 27.33/27.57 (step t1030 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6)))) :rule implies_neg2)
% 27.33/27.57 (step t1031 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6)))) :rule resolution :premises (t1029 t1030))
% 27.33/27.57 (step t1032 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6)))) :rule contraction :premises (t1031))
% 27.33/27.57 (step t1033 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) :rule implies :premises (t1032))
% 27.33/27.57 (step t1034 (cl (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) :rule resolution :premises (t1033 a51))
% 27.33/27.57 (step t1035 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1036)
% 27.33/27.57 (assume t1036.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))
% 27.33/27.57 (step t1036.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5)))) :rule forall_inst :args ((:= U (tptp.skaf42 tptp.sk6 tptp.sk8)) (:= V tptp.sk8) (:= W (tptp.skaf43 tptp.sk8 tptp.sk6)) (:= X tptp.sk5) (:= Y tptp.nil)))
% 27.33/27.57 (step t1036.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) :rule or :premises (t1036.t1))
% 27.33/27.57 (step t1036.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) :rule resolution :premises (t1036.t2 t1036.a0))
% 27.33/27.57 (step t1036 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) :rule subproof :discharge (t1036.a0))
% 27.33/27.57 (step t1037 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) :rule resolution :premises (t1035 t1036))
% 27.33/27.57 (step t1038 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5)))) :rule implies_neg2)
% 27.33/27.57 (step t1039 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5)))) :rule resolution :premises (t1037 t1038))
% 27.33/27.57 (step t1040 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5)))) :rule contraction :premises (t1039))
% 27.33/27.57 (step t1041 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) :rule implies :premises (t1040))
% 27.33/27.57 (step t1042 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule equiv_pos2)
% 27.33/27.57 (anchor :step t1043 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y) (Z $$unsorted) (:= Z Z)))
% 27.33/27.57 (step t1043.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t1043.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t1043.t3 (cl (= W W)) :rule refl)
% 27.33/27.57 (step t1043.t4 (cl (= X X)) :rule refl)
% 27.33/27.57 (step t1043.t5 (cl (= Y Y)) :rule refl)
% 27.33/27.57 (step t1043.t6 (cl (= Z Z)) :rule refl)
% 27.33/27.57 (step t1043.t7 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z) (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))))) :rule all_simplify)
% 27.33/27.57 (step t1043.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule cong :premises (t1043.t7))
% 27.33/27.57 (step t1043.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.33/27.57 (step t1043.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.57 (step t1043.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t1043.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 27.33/27.57 (step t1043.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.57 (step t1043.t14 (cl (= (not (tptp.strictorderedP Z)) (not (tptp.strictorderedP Z)))) :rule refl)
% 27.33/27.57 (step t1043.t15 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 27.33/27.57 (step t1043.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 27.33/27.57 (step t1043.t17 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X)))) :rule cong :premises (t1043.t8 t1043.t9 t1043.t10 t1043.t11 t1043.t12 t1043.t13 t1043.t14 t1043.t15 t1043.t16))
% 27.33/27.57 (step t1043 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))) :rule bind)
% 27.33/27.57 (step t1044 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule all_simplify)
% 27.33/27.57 (anchor :step t1045 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.33/27.57 (step t1045.t1 (cl (= U U)) :rule refl)
% 27.33/27.57 (step t1045.t2 (cl (= V V)) :rule refl)
% 27.33/27.57 (step t1045.t3 (cl (= W W)) :rule refl)
% 27.33/27.57 (step t1045.t4 (cl (= X X)) :rule refl)
% 27.33/27.57 (step t1045.t5 (cl (= Y Y)) :rule refl)
% 27.33/27.57 (step t1045.t6 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))) true)) :rule all_simplify)
% 27.33/27.57 (step t1045.t7 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not true))) :rule cong :premises (t1045.t6))
% 27.33/27.57 (step t1045.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) false)) :rule trans :premises (t1045.t7 t465))
% 27.33/27.57 (step t1045.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.33/27.57 (step t1045.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.33/27.57 (step t1045.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.33/27.57 (step t1045.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 27.33/27.57 (step t1045.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.33/27.57 (step t1045.t14 (cl (= (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 27.33/27.57 (step t1045.t15 (cl (= (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 27.33/27.57 (step t1045.t16 (cl (= (tptp.lt V X) (tptp.lt V X))) :rule refl)
% 27.33/27.57 (step t1045.t17 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)) (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule cong :premises (t1045.t8 t1045.t9 t1045.t10 t1045.t11 t1045.t12 t1045.t13 t1045.t14 t1045.t15 t1045.t16))
% 27.33/27.57 (step t1045.t18 (cl (= (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule all_simplify)
% 27.33/27.57 (step t1045.t19 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule trans :premises (t1045.t17 t1045.t18))
% 27.33/27.57 (step t1045 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule bind)
% 27.33/27.57 (step t1046 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule trans :premises (t1044 t1045))
% 27.33/27.57 (step t1047 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X))))) :rule trans :premises (t1043 t1046))
% 27.33/27.57 (step t1048 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.lt V X)))) :rule resolution :premises (t1042 t1047 a180))
% 27.33/27.57 (step t1049 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf43 tptp.sk8 tptp.sk6))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk8)) (not (tptp.strictorderedP (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.lt tptp.sk8 tptp.sk5))) :rule resolution :premises (t1041 t1048))
% 27.33/27.57 (step t1050 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1051)
% 27.33/27.57 (assume t1051.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 27.33/27.57 (step t1051.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk8)))
% 27.33/27.57 (step t1051.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) :rule or :premises (t1051.t1))
% 27.33/27.57 (step t1051.t3 (cl (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) :rule resolution :premises (t1051.t2 t1051.a0))
% 27.33/27.57 (step t1051 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) :rule subproof :discharge (t1051.a0))
% 27.33/27.57 (step t1052 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) :rule resolution :premises (t1050 t1051))
% 27.33/27.57 (step t1053 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (not (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8)))) :rule implies_neg2)
% 27.33/27.57 (step t1054 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8)))) :rule resolution :premises (t1052 t1053))
% 27.33/27.57 (step t1055 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8)))) :rule contraction :premises (t1054))
% 27.33/27.57 (step t1056 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) :rule implies :premises (t1055))
% 27.33/27.57 (step t1057 (cl (tptp.ssList (tptp.skaf42 tptp.sk6 tptp.sk8))) :rule resolution :premises (t1056 a52))
% 27.33/27.57 (step t1058 (cl (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule and_neg)
% 27.33/27.57 (step t1059 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1060)
% 27.33/27.57 (assume t1060.a0 (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.57 (assume t1060.a1 (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))
% 27.33/27.57 (step t1060.t1 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule implies_neg1)
% 27.33/27.57 (anchor :step t1060.t2)
% 27.33/27.57 (assume t1060.t2.a0 (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))
% 27.33/27.57 (assume t1060.t2.a1 (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))
% 27.33/27.57 (step t1060.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 27.33/27.57 (step t1060.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) true)) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t1060.t2.t1))
% 27.33/27.57 (step t1060.t2.t3 (cl (= (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) tptp.sk6)) :rule symm :premises (t1060.t2.a1))
% 27.33/27.57 (step t1060.t2.t4 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule refl)
% 27.33/27.57 (step t1060.t2.t5 (cl (= (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t1060.t2.t3 t1060.t2.t4))
% 27.33/27.57 (step t1060.t2.t6 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t1060.t2.t5))
% 27.33/27.57 (step t1060.t2.t7 (cl (= (= (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 27.33/27.57 (step t1060.t2.t8 (cl (= (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) true) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t1060.t2.t7))
% 27.33/27.57 (step t1060.t2.t9 (cl (= (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) true)) :rule resolution :premises (t1060.t2.t8 t1060.t2.a0))
% 27.33/27.57 (step t1060.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) true)) :rule trans :premises (t1060.t2.t6 t1060.t2.t9))
% 27.33/27.57 (step t1060.t2.t11 (cl (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t1060.t2.t2 t1060.t2.t10))
% 27.33/27.57 (step t1060.t2 (cl (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t1060.t2.a0 t1060.t2.a1))
% 27.33/27.57 (step t1060.t3 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 27.33/27.57 (step t1060.t4 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) :rule and_pos)
% 27.33/27.57 (step t1060.t5 (cl (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule resolution :premises (t1060.t2 t1060.t3 t1060.t4))
% 27.33/27.57 (step t1060.t6 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t1060.t5))
% 27.33/27.57 (step t1060.t7 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t1060.t6))
% 27.33/27.57 (step t1060.t8 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t1060.t1 t1060.t7))
% 27.33/27.57 (step t1060.t9 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t1060.t10 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t1060.t8 t1060.t9))
% 27.33/27.57 (step t1060.t11 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t1060.t10))
% 27.33/27.57 (step t1060.t12 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t1060.t11))
% 27.33/27.57 (step t1060.t13 (cl (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule and_neg)
% 27.33/27.57 (step t1060.t14 (cl (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) :rule resolution :premises (t1060.t13 t1060.a0 t1060.a1))
% 27.33/27.57 (step t1060.t15 (cl (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t1060.t12 t1060.t14))
% 27.33/27.57 (step t1060 (cl (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t1060.a0 t1060.a1))
% 27.33/27.57 (step t1061 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 27.33/27.57 (step t1062 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) :rule and_pos)
% 27.33/27.57 (step t1063 (cl (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))) (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))))) :rule resolution :premises (t1060 t1061 t1062))
% 27.33/27.57 (step t1064 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t1063))
% 27.33/27.57 (step t1065 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t1064))
% 27.33/27.57 (step t1066 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t1059 t1065))
% 27.33/27.57 (step t1067 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.33/27.57 (step t1068 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t1066 t1067))
% 27.33/27.57 (step t1069 (cl (=> (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t1068))
% 27.33/27.57 (step t1070 (cl (not (and (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6)))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t1069))
% 27.33/27.57 (step t1071 (cl (not (tptp.ssList (tptp.app tptp.sk6 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk6 (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))))) (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t1058 t1070))
% 27.33/27.57 (step t1072 (cl (tptp.ssList (tptp.app (tptp.app (tptp.skaf42 tptp.sk6 tptp.sk8) (tptp.cons tptp.sk8 (tptp.skaf43 tptp.sk8 tptp.sk6))) (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t1071 t175 t1011))
% 27.33/27.57 (step t1073 (cl) :rule resolution :premises (t2 t1012 t1026 t1034 t1049 t1057 t1072 a196 a192 a7))
% 27.33/27.57
% 27.33/27.58 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.cfXKoks7kX/cvc5---1.0.5_13882.smt2
% 27.33/27.58 % cvc5---1.0.5 exiting
% 27.33/27.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------