TSTP Solution File: SWC193-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC193-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n004.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 18:00:54 EDT 2024
% Result : Unsatisfiable 27.78s 27.99s
% Output : Proof 27.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWC193-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n004.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 16:27:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.57/10.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.60/15.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.58/20.80 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.64/25.83 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.78/27.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.rZETMSruAa/cvc5---1.0.5_8437.smt2
% 27.78/27.99 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.rZETMSruAa/cvc5---1.0.5_8437.smt2
% 27.92/28.15 (assume a0 (tptp.equalelemsP tptp.nil))
% 27.92/28.15 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 27.92/28.15 (assume a2 (tptp.strictorderedP tptp.nil))
% 27.92/28.15 (assume a3 (tptp.totalorderedP tptp.nil))
% 27.92/28.15 (assume a4 (tptp.strictorderP tptp.nil))
% 27.92/28.15 (assume a5 (tptp.totalorderP tptp.nil))
% 27.92/28.15 (assume a6 (tptp.cyclefreeP tptp.nil))
% 27.92/28.15 (assume a7 (tptp.ssList tptp.nil))
% 27.92/28.15 (assume a8 (tptp.ssItem tptp.skac3))
% 27.92/28.15 (assume a9 (tptp.ssItem tptp.skac2))
% 27.92/28.15 (assume a10 (not (tptp.singletonP tptp.nil)))
% 27.92/28.15 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 27.92/28.15 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 27.92/28.15 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 27.92/28.15 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 27.92/28.15 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 27.92/28.15 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 27.92/28.15 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 27.92/28.15 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 27.92/28.15 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 27.92/28.15 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 27.92/28.15 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 27.92/28.15 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 27.92/28.15 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 27.92/28.15 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 27.92/28.15 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 27.92/28.15 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 27.92/28.15 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 27.92/28.15 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 27.92/28.15 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 27.92/28.15 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 27.92/28.15 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 27.92/28.15 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 27.92/28.15 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 27.92/28.15 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 27.92/28.15 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 27.92/28.15 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 27.92/28.15 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 27.92/28.15 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 27.92/28.15 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 27.92/28.15 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 27.92/28.15 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 27.92/28.15 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 27.92/28.15 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 27.92/28.15 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 27.92/28.15 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 27.92/28.15 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 27.92/28.15 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 27.92/28.15 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 27.92/28.15 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 27.92/28.15 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 27.92/28.15 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 27.92/28.15 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 27.92/28.15 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 27.92/28.15 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 27.92/28.15 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 27.92/28.15 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 27.92/28.15 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 27.92/28.15 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 27.92/28.15 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 27.92/28.15 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 27.92/28.15 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 27.92/28.15 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 27.92/28.15 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 27.92/28.15 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 27.92/28.15 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 27.92/28.15 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 27.92/28.15 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 27.92/28.15 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 27.92/28.15 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.92/28.15 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 27.92/28.15 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.92/28.15 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 27.92/28.15 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.92/28.15 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 27.92/28.15 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.92/28.15 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 27.92/28.15 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.92/28.15 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 27.92/28.15 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 27.92/28.15 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 27.92/28.15 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 27.92/28.15 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 27.92/28.15 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 27.92/28.15 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 27.92/28.15 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 27.92/28.15 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 27.92/28.15 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 27.92/28.15 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 27.92/28.15 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 27.92/28.15 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 27.92/28.15 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 27.92/28.15 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 27.92/28.15 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 27.92/28.15 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 27.92/28.15 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 27.92/28.15 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 27.92/28.15 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 27.92/28.15 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 27.92/28.15 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 27.92/28.15 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 27.92/28.15 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 27.92/28.15 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 27.92/28.15 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 27.92/28.15 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 27.92/28.15 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 27.92/28.15 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.92/28.15 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 27.92/28.15 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.92/28.15 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 27.92/28.15 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 27.92/28.15 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 27.92/28.15 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 27.92/28.15 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 27.92/28.15 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 27.92/28.15 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 27.92/28.15 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 27.92/28.15 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 27.92/28.15 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 27.92/28.15 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 27.92/28.15 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 27.92/28.15 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 27.92/28.15 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 27.92/28.15 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 27.92/28.15 (assume a135 (forall ((U $$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))))
% 27.92/28.15 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 27.92/28.15 (assume a137 (forall ((U $$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))))
% 27.92/28.15 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 27.92/28.15 (assume a139 (forall ((U $$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))))
% 27.92/28.15 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 27.92/28.15 (assume a141 (forall ((U $$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))))
% 27.92/28.15 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 27.92/28.15 (assume a143 (forall ((U $$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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 27.92/28.15 (assume a146 (forall ((U $$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))))
% 27.92/28.15 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 27.92/28.15 (assume a148 (forall ((U $$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))))))
% 27.92/28.15 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 27.92/28.15 (assume a150 (forall ((U $$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))))
% 27.92/28.15 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 27.92/28.15 (assume a152 (forall ((U $$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))))
% 27.92/28.15 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 27.92/28.15 (assume a154 (forall ((U $$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))))
% 27.92/28.15 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 27.92/28.15 (assume a156 (forall ((U $$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)))))
% 27.92/28.15 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 27.92/28.15 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 27.92/28.15 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 27.92/28.15 (assume a160 (forall ((U $$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))))
% 27.92/28.15 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 27.92/28.15 (assume a162 (forall ((U $$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))))
% 27.92/28.15 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 27.92/28.15 (assume a164 (forall ((U $$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))))
% 27.92/28.15 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 27.92/28.15 (assume a166 (forall ((U $$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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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)))))
% 27.92/28.15 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 27.92/28.15 (assume a179 (forall ((U $$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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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))))
% 27.92/28.15 (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)))))
% 27.92/28.15 (assume a185 (tptp.ssList tptp.sk1))
% 27.92/28.15 (assume a186 (tptp.ssList tptp.sk2))
% 27.92/28.15 (assume a187 (tptp.ssList tptp.sk3))
% 27.92/28.15 (assume a188 (tptp.ssList tptp.sk4))
% 27.92/28.15 (assume a189 (= tptp.sk2 tptp.sk4))
% 27.92/28.15 (assume a190 (= tptp.sk1 tptp.sk3))
% 27.92/28.15 (assume a191 (tptp.segmentP tptp.sk4 tptp.sk3))
% 27.92/28.15 (assume a192 (tptp.ssItem tptp.sk5))
% 27.92/28.15 (assume a193 (tptp.ssItem tptp.sk6))
% 27.92/28.15 (assume a194 (tptp.ssList tptp.sk7))
% 27.92/28.15 (assume a195 (tptp.ssList tptp.sk8))
% 27.92/28.15 (assume a196 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk1))
% 27.92/28.15 (assume a197 (not (= tptp.sk5 tptp.sk6)))
% 27.92/28.15 (assume a198 (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))))
% 27.92/28.15 (step t1 (cl (not (= (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_pos2)
% 27.92/28.15 (step t2 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 27.92/28.15 (step t3 (cl (= (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true) (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 27.92/28.15 (step t4 (cl (not (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t3))
% 27.92/28.15 (step t5 (cl (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))))) :rule all_simplify)
% 27.92/28.15 (step t6 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 27.92/28.15 (step t7 (cl (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule all_simplify)
% 27.92/28.15 (step t8 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t6 t7))
% 27.92/28.15 (step t9 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) :rule all_simplify)
% 27.92/28.15 (step t10 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) true)) :rule trans :premises (t8 t9))
% 27.92/28.15 (step t11 (cl (= (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t5 t10))
% 27.92/28.15 (step t12 (cl (= (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t4 t11))
% 27.92/28.15 (step t13 (cl (= (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 27.92/28.15 (step t14 (cl (= (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t2 t12 t13))
% 27.92/28.15 (step t15 (cl (not (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) (not (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_pos2)
% 27.92/28.15 (step t16 (cl (= (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 27.92/28.15 (step t17 (cl (= (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 27.92/28.15 (step t18 (cl (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (not (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t17))
% 27.92/28.15 (step t19 (cl (not (not (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 27.92/28.15 (step t20 (cl (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t18 t19))
% 27.92/28.15 (step t21 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t22)
% 27.92/28.15 (assume t22.a0 (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 27.92/28.15 (assume t22.a1 (= tptp.nil tptp.sk4))
% 27.92/28.15 (assume t22.a2 (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))
% 27.92/28.15 (step t22.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 27.92/28.15 (step t22.t2 (cl (= (= true false) false)) :rule all_simplify)
% 27.92/28.15 (step t22.t3 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)) true) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv_simplify)
% 27.92/28.15 (step t22.t4 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)) true) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv2 :premises (t22.t3))
% 27.92/28.15 (step t22.t5 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)) true)) :rule resolution :premises (t22.t4 t22.a2))
% 27.92/28.15 (step t22.t6 (cl (= true (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t22.t5))
% 27.92/28.15 (step t22.t7 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t22.a1))
% 27.92/28.15 (step t22.t8 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule refl)
% 27.92/28.15 (step t22.t9 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t22.t7 t22.t8))
% 27.92/28.15 (step t22.t10 (cl (= (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 27.92/28.15 (step t22.t11 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t22.t10))
% 27.92/28.15 (step t22.t12 (cl (not (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule not_not)
% 27.92/28.15 (step t22.t13 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t22.t11 t22.t12))
% 27.92/28.15 (step t22.t14 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false)) :rule resolution :premises (t22.t13 t22.a0))
% 27.92/28.15 (step t22.t15 (cl (= true false)) :rule trans :premises (t22.t6 t22.t9 t22.t14))
% 27.92/28.15 (step t22.t16 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t15))
% 27.92/28.15 (step t22 (cl (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 27.92/28.15 (step t23 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 27.92/28.15 (step t24 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 27.92/28.15 (step t25 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 27.92/28.15 (step t26 (cl false (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t22 t23 t24 t25))
% 27.92/28.15 (step t27 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) false) :rule reordering :premises (t26))
% 27.92/28.15 (step t28 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) false) :rule contraction :premises (t27))
% 27.92/28.15 (step t29 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) false) :rule resolution :premises (t21 t28))
% 27.92/28.15 (step t30 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (not false)) :rule implies_neg2)
% 27.92/28.15 (step t31 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t29 t30))
% 27.92/28.15 (step t32 (cl (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule contraction :premises (t31))
% 27.92/28.15 (step t33 (cl (= (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_simplify)
% 27.92/28.15 (step t34 (cl (not (=> (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false)) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t33))
% 27.92/28.15 (step t35 (cl (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t32 t34))
% 27.92/28.15 (step t36 (cl (= (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t20 t35))
% 27.92/28.15 (step t37 (cl (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false))) :rule cong :premises (t16 t36))
% 27.92/28.15 (step t38 (cl (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) false) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 27.92/28.15 (step t39 (cl (= (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))))) :rule trans :premises (t37 t38))
% 27.92/28.15 (step t40 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t41)
% 27.92/28.15 (assume t41.a0 (= tptp.nil tptp.sk4))
% 27.92/28.15 (assume t41.a1 (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 27.92/28.15 (assume t41.a2 (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))
% 27.92/28.15 (step t41.t1 (cl (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule and_neg)
% 27.92/28.15 (step t41.t2 (cl (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t41.t1 t41.a1 t41.a0 t41.a2))
% 27.92/28.15 (step t41 (cl (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 27.92/28.15 (step t42 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 27.92/28.15 (step t43 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 27.92/28.15 (step t44 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 27.92/28.15 (step t45 (cl (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t41 t42 t43 t44))
% 27.92/28.15 (step t46 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t45))
% 27.92/28.15 (step t47 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t46))
% 27.92/28.15 (step t48 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t40 t47))
% 27.92/28.15 (step t49 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.92/28.15 (step t50 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t48 t49))
% 27.92/28.15 (step t51 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) (and (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil tptp.sk4) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t50))
% 27.92/28.15 (step t52 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t15 t39 t51))
% 27.92/28.15 (step t53 (cl (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule not_and :premises (t52))
% 27.92/28.15 (step t54 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 27.92/28.15 (step t55 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 27.92/28.15 (step t56 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule or_neg)
% 27.92/28.15 (step t57 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t53 t54 t55 t56))
% 27.92/28.15 (step t58 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t57))
% 27.92/28.15 (step t59 (cl (or (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1 t14 t58))
% 27.92/28.15 (step t60 (cl (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t59))
% 27.92/28.15 (step t61 (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)
% 27.92/28.15 (step t62 (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 (t61))
% 27.92/28.15 (step t63 (cl (not (= (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule equiv_pos2)
% 27.92/28.15 (step t64 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 27.92/28.15 (step t65 (cl (not (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule equiv_pos2)
% 27.92/28.15 (step t66 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 27.92/28.15 (step t67 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t66 a190 a189))
% 27.92/28.15 (step t68 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t67))
% 27.92/28.15 (step t69 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule refl)
% 27.92/28.15 (step t70 (cl (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t68 t69))
% 27.92/28.15 (step t71 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (a196))
% 27.92/28.15 (step t72 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule resolution :premises (t65 t70 t71))
% 27.92/28.15 (step t73 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t64 t72 a190 a189))
% 27.92/28.15 (step t74 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and :premises (t73))
% 27.92/28.15 (step t75 (cl (= (tptp.singletonP tptp.sk3) (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t74))
% 27.92/28.15 (step t76 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 27.92/28.15 (step t77 (cl (= (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (not (tptp.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t75 t76))
% 27.92/28.15 (step t78 (cl (or (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t63 t77 a198))
% 27.92/28.15 (step t79 (cl (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (t78))
% 27.92/28.15 (step t80 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule reordering :premises (t79))
% 27.92/28.15 (step t81 (cl (not (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule or_pos)
% 27.92/28.15 (step t82 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (not (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule reordering :premises (t81))
% 27.92/28.15 (step t83 (cl (not (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.sk1)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule equiv_pos2)
% 27.92/28.15 (step t84 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t73))
% 27.92/28.15 (step t85 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and :premises (t73))
% 27.92/28.15 (step t86 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule trans :premises (t84 t85))
% 27.92/28.15 (step t87 (cl (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t86))
% 27.92/28.15 (step t88 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule resolution :premises (t83 t87 a185))
% 27.92/28.15 (step t89 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) :rule or_pos)
% 27.92/28.15 (step t90 (cl (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (not (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))))) :rule reordering :premises (t89))
% 27.92/28.15 (step t91 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t92)
% 27.92/28.15 (assume t92.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 27.92/28.15 (step t92.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk8))))
% 27.92/28.15 (step t92.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule or :premises (t92.t1))
% 27.92/28.15 (step t92.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule resolution :premises (t92.t2 t92.a0))
% 27.92/28.15 (step t92 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule subproof :discharge (t92.a0))
% 27.92/28.15 (step t93 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule resolution :premises (t91 t92))
% 27.92/28.15 (step t94 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))))) :rule implies_neg2)
% 27.92/28.15 (step t95 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))))) :rule resolution :premises (t93 t94))
% 27.92/28.15 (step t96 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))))) :rule contraction :premises (t95))
% 27.92/28.15 (step t97 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule implies :premises (t96))
% 27.92/28.15 (step t98 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule resolution :premises (t97 a61))
% 27.92/28.15 (step t99 (cl (not (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule or_pos)
% 27.92/28.15 (step t100 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))))) :rule reordering :premises (t99))
% 27.92/28.15 (step t101 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t102)
% 27.92/28.15 (assume t102.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 27.92/28.15 (step t102.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk8)))
% 27.92/28.15 (step t102.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule or :premises (t102.t1))
% 27.92/28.15 (step t102.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t102.t2 t102.a0))
% 27.92/28.15 (step t102 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule subproof :discharge (t102.a0))
% 27.92/28.15 (step t103 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t101 t102))
% 27.92/28.15 (step t104 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule implies_neg2)
% 27.92/28.15 (step t105 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t103 t104))
% 27.92/28.15 (step t106 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk8)))) :rule contraction :premises (t105))
% 27.92/28.15 (step t107 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule implies :premises (t106))
% 27.92/28.15 (step t108 (cl (tptp.ssItem (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t107 a11))
% 27.92/28.15 (step t109 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t110)
% 27.92/28.15 (assume t110.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 27.92/28.15 (step t110.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk8)))
% 27.92/28.15 (step t110.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule or :premises (t110.t1))
% 27.92/28.15 (step t110.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule resolution :premises (t110.t2 t110.a0))
% 27.92/28.15 (step t110 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule subproof :discharge (t110.a0))
% 27.92/28.15 (step t111 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule resolution :premises (t109 t110))
% 27.92/28.15 (step t112 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule implies_neg2)
% 27.92/28.15 (step t113 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule resolution :premises (t111 t112))
% 27.92/28.15 (step t114 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk8)))) :rule contraction :premises (t113))
% 27.92/28.15 (step t115 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule implies :premises (t114))
% 27.92/28.15 (step t116 (cl (tptp.ssList (tptp.skaf82 tptp.sk8))) :rule resolution :premises (t115 a12))
% 27.92/28.15 (step t117 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) (forall ((U $$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)
% 27.92/28.15 (anchor :step t118)
% 27.92/28.15 (assume t118.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))
% 27.92/28.15 (step t118.t1 (cl (or (not (forall ((U $$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.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V (tptp.skaf83 tptp.sk8)) (:= W (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= X tptp.nil) (:= Y (tptp.skaf82 tptp.sk8))))
% 27.92/28.15 (step t118.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y))))))) (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule or :premises (t118.t1))
% 27.92/28.15 (step t118.t3 (cl (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t118.t2 t118.a0))
% 27.92/28.15 (step t118 (cl (not (forall ((U $$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.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule subproof :discharge (t118.a0))
% 27.92/28.15 (step t119 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t117 t118))
% 27.92/28.15 (step t120 (cl (=> (forall ((U $$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.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) (not (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))))) :rule implies_neg2)
% 27.92/28.15 (step t121 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) (=> (forall ((U $$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.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))))) :rule resolution :premises (t119 t120))
% 27.92/28.15 (step t122 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))) (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))))) :rule contraction :premises (t121))
% 27.92/28.15 (step t123 (cl (not (forall ((U $$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.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies :premises (t122))
% 27.92/28.15 (step t124 (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)
% 27.92/28.15 (anchor :step t125 :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)))
% 27.92/28.15 (step t125.t1 (cl (= U U)) :rule refl)
% 27.92/28.15 (step t125.t2 (cl (= V V)) :rule refl)
% 27.92/28.15 (step t125.t3 (cl (= W W)) :rule refl)
% 27.92/28.15 (step t125.t4 (cl (= X X)) :rule refl)
% 27.92/28.15 (step t125.t5 (cl (= Y Y)) :rule refl)
% 27.92/28.15 (step t125.t6 (cl (= Z Z)) :rule refl)
% 27.92/28.15 (step t125.t7 (cl (= (not (tptp.leq U V)) (not (tptp.leq U V)))) :rule refl)
% 27.92/28.15 (step t125.t8 (cl (= (not (tptp.leq V U)) (not (tptp.leq V U)))) :rule refl)
% 27.92/28.15 (step t125.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)
% 27.92/28.15 (step t125.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 (t125.t9))
% 27.92/28.15 (step t125.t11 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.92/28.15 (step t125.t12 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.92/28.15 (step t125.t13 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.92/28.15 (step t125.t14 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.92/28.15 (step t125.t15 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.92/28.15 (step t125.t16 (cl (= (not (tptp.cyclefreeP Z)) (not (tptp.cyclefreeP Z)))) :rule refl)
% 27.92/28.15 (step t125.t17 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 27.92/28.15 (step t125.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 (t125.t7 t125.t8 t125.t10 t125.t11 t125.t12 t125.t13 t125.t14 t125.t15 t125.t16 t125.t17))
% 27.92/28.15 (step t125 (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)
% 27.92/28.15 (step t126 (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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) :rule all_simplify)
% 27.92/28.15 (anchor :step t127 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.92/28.15 (step t127.t1 (cl (= U U)) :rule refl)
% 27.92/28.15 (step t127.t2 (cl (= V V)) :rule refl)
% 27.92/28.15 (step t127.t3 (cl (= W W)) :rule refl)
% 27.92/28.15 (step t127.t4 (cl (= X X)) :rule refl)
% 27.92/28.15 (step t127.t5 (cl (= Y Y)) :rule refl)
% 27.92/28.15 (step t127.t6 (cl (= (not (tptp.leq U V)) (not (tptp.leq U V)))) :rule refl)
% 27.92/28.15 (step t127.t7 (cl (= (not (tptp.leq V U)) (not (tptp.leq V U)))) :rule refl)
% 27.92/28.15 (step t127.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)
% 27.92/28.15 (step t127.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 (t127.t8))
% 27.92/28.15 (step t127.t10 (cl (= (not true) false)) :rule all_simplify)
% 27.92/28.15 (step t127.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 (t127.t9 t127.t10))
% 27.92/28.15 (step t127.t12 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.92/28.15 (step t127.t13 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.92/28.15 (step t127.t14 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.92/28.15 (step t127.t15 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.92/28.15 (step t127.t16 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.92/28.15 (step t127.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)
% 27.92/28.15 (step t127.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)
% 27.92/28.15 (step t127.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 (t127.t6 t127.t7 t127.t11 t127.t12 t127.t13 t127.t14 t127.t15 t127.t16 t127.t17 t127.t18))
% 27.92/28.15 (step t127.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)
% 27.92/28.15 (step t127.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 (t127.t19 t127.t20))
% 27.92/28.15 (step t127 (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)
% 27.92/28.15 (step t128 (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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))) (not (tptp.ssList (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)))))))) :rule trans :premises (t126 t127))
% 27.92/28.15 (step t129 (cl (= (forall ((U $$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 (t125 t128))
% 27.92/28.15 (step t130 (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 (t124 t129 a184))
% 27.92/28.15 (step t131 (cl (or (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t123 t130))
% 27.92/28.15 (step t132 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 27.92/28.15 (step t133 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t132))
% 27.92/28.15 (step t134 (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)
% 27.92/28.15 (step t135 (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 (t134))
% 27.92/28.15 (step t136 (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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t137)
% 27.92/28.15 (assume t137.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 27.92/28.15 (step t137.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 27.92/28.15 (step t137.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t137.t1))
% 27.92/28.15 (step t137.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t137.t2 t137.a0))
% 27.92/28.15 (step t137 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t137.a0))
% 27.92/28.15 (step t138 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t136 t137))
% 27.92/28.15 (step t139 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 27.92/28.15 (step t140 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t138 t139))
% 27.92/28.15 (step t141 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t140))
% 27.92/28.15 (step t142 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t141))
% 27.92/28.15 (step t143 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t142 a85))
% 27.92/28.15 (step t144 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t135 a7 a192 t143))
% 27.92/28.15 (step t145 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t146)
% 27.92/28.15 (assume t146.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 27.92/28.15 (step t146.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil)) (:= V tptp.sk7)))
% 27.92/28.15 (step t146.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t146.t1))
% 27.92/28.15 (step t146.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t146.t2 t146.a0))
% 27.92/28.15 (step t146 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t146.a0))
% 27.92/28.15 (step t147 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t145 t146))
% 27.92/28.15 (step t148 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 27.92/28.15 (step t149 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t147 t148))
% 27.92/28.15 (step t150 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t149))
% 27.92/28.15 (step t151 (cl (not (forall ((U $$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.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t150))
% 27.92/28.15 (step t152 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t151 a84))
% 27.92/28.15 (step t153 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t133 a194 t144 t152))
% 27.92/28.15 (step t154 (cl (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule and_neg)
% 27.92/28.15 (step t155 (cl (=> (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t156)
% 27.92/28.15 (assume t156.a0 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.92/28.15 (assume t156.a1 (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))
% 27.92/28.15 (assume t156.a2 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 27.92/28.15 (assume t156.a3 (= tptp.sk6 (tptp.skaf83 tptp.sk8)))
% 27.92/28.15 (step t156.t1 (cl (=> (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t156.t2)
% 27.92/28.15 (assume t156.t2.a0 (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))
% 27.92/28.15 (assume t156.t2.a1 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.92/28.15 (assume t156.t2.a2 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 27.92/28.15 (assume t156.t2.a3 (= tptp.sk6 (tptp.skaf83 tptp.sk8)))
% 27.92/28.15 (step t156.t2.t1 (cl (= (= (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) true) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule equiv_simplify)
% 27.92/28.15 (step t156.t2.t2 (cl (not (= (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) true)) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule equiv1 :premises (t156.t2.t1))
% 27.92/28.15 (step t156.t2.t3 (cl (= (tptp.skaf83 tptp.sk8) (tptp.skaf83 tptp.sk8))) :rule refl)
% 27.92/28.15 (step t156.t2.t4 (cl (= (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule symm :premises (t156.t2.a3))
% 27.92/28.15 (step t156.t2.t5 (cl (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule symm :premises (t156.t2.t4))
% 27.92/28.15 (step t156.t2.t6 (cl (= (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) (tptp.leq (tptp.skaf83 tptp.sk8) (tptp.skaf83 tptp.sk8)))) :rule cong :premises (t156.t2.t3 t156.t2.t5))
% 27.92/28.15 (step t156.t2.t7 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.skaf83 tptp.sk8))) :rule symm :premises (t156.t2.a2))
% 27.92/28.15 (step t156.t2.t8 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule symm :premises (t156.t2.t7))
% 27.92/28.15 (step t156.t2.t9 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule symm :premises (t156.t2.a1))
% 27.92/28.15 (step t156.t2.t10 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.hd tptp.sk8))) :rule cong :premises (t156.t2.t9))
% 27.92/28.15 (step t156.t2.t11 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd tptp.sk8))) :rule trans :premises (t156.t2.t8 t156.t2.t10))
% 27.92/28.15 (step t156.t2.t12 (cl (= (tptp.leq (tptp.skaf83 tptp.sk8) (tptp.skaf83 tptp.sk8)) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule cong :premises (t156.t2.t11 t156.t2.t11))
% 27.92/28.15 (step t156.t2.t13 (cl (= (= (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) true) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule equiv_simplify)
% 27.92/28.15 (step t156.t2.t14 (cl (= (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) true) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule equiv2 :premises (t156.t2.t13))
% 27.92/28.15 (step t156.t2.t15 (cl (= (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) true)) :rule resolution :premises (t156.t2.t14 t156.t2.a0))
% 27.92/28.15 (step t156.t2.t16 (cl (= (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) true)) :rule trans :premises (t156.t2.t6 t156.t2.t12 t156.t2.t15))
% 27.92/28.15 (step t156.t2.t17 (cl (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule resolution :premises (t156.t2.t2 t156.t2.t16))
% 27.92/28.15 (step t156.t2 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule subproof :discharge (t156.t2.a0 t156.t2.a1 t156.t2.a2 t156.t2.a3))
% 27.92/28.15 (step t156.t3 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) :rule and_pos)
% 27.92/28.15 (step t156.t4 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t156.t5 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 27.92/28.15 (step t156.t6 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule and_pos)
% 27.92/28.15 (step t156.t7 (cl (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t156.t2 t156.t3 t156.t4 t156.t5 t156.t6))
% 27.92/28.15 (step t156.t8 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule reordering :premises (t156.t7))
% 27.92/28.15 (step t156.t9 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule contraction :premises (t156.t8))
% 27.92/28.15 (step t156.t10 (cl (=> (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule resolution :premises (t156.t1 t156.t9))
% 27.92/28.15 (step t156.t11 (cl (=> (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule implies_neg2)
% 27.92/28.15 (step t156.t12 (cl (=> (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (=> (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t156.t10 t156.t11))
% 27.92/28.15 (step t156.t13 (cl (=> (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule contraction :premises (t156.t12))
% 27.92/28.15 (step t156.t14 (cl (not (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule implies :premises (t156.t13))
% 27.92/28.15 (step t156.t15 (cl (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule and_neg)
% 27.92/28.15 (step t156.t16 (cl (and (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t156.t15 t156.a1 t156.a0 t156.a2 t156.a3))
% 27.92/28.15 (step t156.t17 (cl (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule resolution :premises (t156.t14 t156.t16))
% 27.92/28.15 (step t156 (cl (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule subproof :discharge (t156.a0 t156.a1 t156.a2 t156.a3))
% 27.92/28.15 (step t157 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t158 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) :rule and_pos)
% 27.92/28.15 (step t159 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 27.92/28.15 (step t160 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule and_pos)
% 27.92/28.15 (step t161 (cl (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t156 t157 t158 t159 t160))
% 27.92/28.15 (step t162 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule reordering :premises (t161))
% 27.92/28.15 (step t163 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule contraction :premises (t162))
% 27.92/28.15 (step t164 (cl (=> (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule resolution :premises (t155 t163))
% 27.92/28.15 (step t165 (cl (=> (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (not (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule implies_neg2)
% 27.92/28.15 (step t166 (cl (=> (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) (=> (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule resolution :premises (t164 t165))
% 27.92/28.15 (step t167 (cl (=> (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6))) :rule contraction :premises (t166))
% 27.92/28.15 (step t168 (cl (not (and (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule implies :premises (t167))
% 27.92/28.15 (step t169 (cl (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule resolution :premises (t154 t168))
% 27.92/28.15 (step t170 (cl (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.leq (tptp.skaf83 tptp.sk8) tptp.sk6) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule reordering :premises (t169))
% 27.92/28.15 (step t171 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule or_pos)
% 27.92/28.15 (step t172 (cl (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule reordering :premises (t171))
% 27.92/28.15 (step t173 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t174)
% 27.92/28.15 (assume t174.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 27.92/28.15 (step t174.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk8)) (:= V (tptp.skaf82 tptp.sk8))))
% 27.92/28.15 (step t174.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule or :premises (t174.t1))
% 27.92/28.15 (step t174.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t174.t2 t174.a0))
% 27.92/28.15 (step t174 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule subproof :discharge (t174.a0))
% 27.92/28.15 (step t175 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t173 t174))
% 27.92/28.15 (step t176 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies_neg2)
% 27.92/28.15 (step t177 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t175 t176))
% 27.92/28.15 (step t178 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule contraction :premises (t177))
% 27.92/28.15 (step t179 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies :premises (t178))
% 27.92/28.15 (step t180 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 27.92/28.15 (anchor :step t181 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.92/28.15 (step t181.t1 (cl (= U U)) :rule refl)
% 27.92/28.15 (step t181.t2 (cl (= V V)) :rule refl)
% 27.92/28.15 (step t181.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.92/28.15 (step t181.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.92/28.15 (step t181.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 27.92/28.15 (step t181.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t181.t3 t181.t4 t181.t5))
% 27.92/28.15 (step t181 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 27.92/28.15 (step t182 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t180 t181 a96))
% 27.92/28.15 (step t183 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t179 t182))
% 27.92/28.15 (step t184 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t172 t116 t108 t183))
% 27.92/28.15 (step t185 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule and_neg)
% 27.92/28.15 (step t186 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t187)
% 27.92/28.15 (assume t187.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))
% 27.92/28.15 (assume t187.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.92/28.15 (assume t187.a2 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.92/28.15 (assume t187.a3 (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))
% 27.92/28.15 (assume t187.a4 (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.92/28.15 (assume t187.a5 (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.92/28.15 (assume t187.a6 (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))
% 27.92/28.15 (assume t187.a7 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 27.92/28.15 (assume t187.a8 (= tptp.sk6 (tptp.skaf83 tptp.sk8)))
% 27.92/28.15 (step t187.t1 (cl (=> (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t187.t2)
% 27.92/28.15 (assume t187.t2.a0 (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.92/28.15 (assume t187.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))
% 27.92/28.15 (assume t187.t2.a2 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.92/28.15 (assume t187.t2.a3 (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))
% 27.92/28.15 (assume t187.t2.a4 (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.92/28.15 (assume t187.t2.a5 (= tptp.sk6 (tptp.skaf83 tptp.sk8)))
% 27.92/28.15 (assume t187.t2.a6 (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))
% 27.92/28.15 (assume t187.t2.a7 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.92/28.15 (assume t187.t2.a8 (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))
% 27.92/28.15 (step t187.t2.t1 (cl (= (= (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) true) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule equiv_simplify)
% 27.92/28.15 (step t187.t2.t2 (cl (not (= (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) true)) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule equiv1 :premises (t187.t2.t1))
% 27.92/28.15 (step t187.t2.t3 (cl (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)) :rule symm :premises (t187.t2.a4))
% 27.92/28.15 (step t187.t2.t4 (cl (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t187.t2.t3))
% 27.92/28.15 (step t187.t2.t5 (cl (= (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t187.t2.a3))
% 27.92/28.15 (step t187.t2.t6 (cl (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule symm :premises (t187.t2.t5))
% 27.92/28.15 (step t187.t2.t7 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t187.t2.a2))
% 27.92/28.15 (step t187.t2.t8 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule trans :premises (t187.t2.t7 t187.t2.a1))
% 27.92/28.15 (step t187.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t187.t2.t8))
% 27.92/28.15 (step t187.t2.t10 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t187.t2.a1))
% 27.92/28.15 (step t187.t2.t11 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t187.t2.t10))
% 27.92/28.15 (step t187.t2.t12 (cl (= tptp.sk6 (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t187.t2.t4 t187.t2.t6 t187.t2.t9 t187.t2.t11))
% 27.92/28.15 (step t187.t2.t13 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.skaf83 tptp.sk8))) :rule symm :premises (t187.t2.a6))
% 27.92/28.15 (step t187.t2.t14 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule symm :premises (t187.t2.t13))
% 27.92/28.15 (step t187.t2.t15 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule symm :premises (t187.t2.a7))
% 27.92/28.15 (step t187.t2.t16 (cl (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule symm :premises (t187.t2.t15))
% 27.92/28.15 (step t187.t2.t17 (cl (= (tptp.hd tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule cong :premises (t187.t2.t16))
% 27.92/28.15 (step t187.t2.t18 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.hd tptp.sk8))) :rule symm :premises (t187.t2.t17))
% 27.92/28.15 (step t187.t2.t19 (cl (= (tptp.skaf83 tptp.sk8) (tptp.hd tptp.sk8))) :rule trans :premises (t187.t2.t14 t187.t2.t18))
% 27.92/28.15 (step t187.t2.t20 (cl (= (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd tptp.sk8)))) :rule cong :premises (t187.t2.t12 t187.t2.t19))
% 27.92/28.15 (step t187.t2.t21 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)) :rule symm :premises (t187.t2.t12))
% 27.92/28.15 (step t187.t2.t22 (cl (= (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd tptp.sk8)) (tptp.leq tptp.sk6 (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule cong :premises (t187.t2.t21 t187.t2.a8))
% 27.92/28.15 (step t187.t2.t23 (cl (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))) :rule symm :premises (t187.t2.a8))
% 27.92/28.15 (step t187.t2.t24 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.skaf83 tptp.sk8))) :rule symm :premises (t187.t2.t14))
% 27.92/28.15 (step t187.t2.t25 (cl (= (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule symm :premises (t187.t2.a5))
% 27.92/28.15 (step t187.t2.t26 (cl (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule symm :premises (t187.t2.t25))
% 27.92/28.15 (step t187.t2.t27 (cl (= (tptp.skaf83 tptp.sk8) tptp.sk6)) :rule symm :premises (t187.t2.t26))
% 27.92/28.15 (step t187.t2.t28 (cl (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t187.t2.t23 t187.t2.t17 t187.t2.t24 t187.t2.t27 t187.t2.t4))
% 27.92/28.15 (step t187.t2.t29 (cl (= (tptp.leq tptp.sk6 (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule cong :premises (t187.t2.t4 t187.t2.t28))
% 27.92/28.15 (step t187.t2.t30 (cl (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t187.t2.t6 t187.t2.t9 t187.t2.t11))
% 27.92/28.15 (step t187.t2.t31 (cl (= (tptp.leq (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule cong :premises (t187.t2.t30 t187.t2.t30))
% 27.92/28.15 (step t187.t2.t32 (cl (= (= (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) true) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule equiv_simplify)
% 27.92/28.15 (step t187.t2.t33 (cl (= (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) true) (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule equiv2 :premises (t187.t2.t32))
% 27.92/28.15 (step t187.t2.t34 (cl (= (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) true)) :rule resolution :premises (t187.t2.t33 t187.t2.a0))
% 27.92/28.15 (step t187.t2.t35 (cl (= (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) true)) :rule trans :premises (t187.t2.t20 t187.t2.t22 t187.t2.t29 t187.t2.t31 t187.t2.t34))
% 27.92/28.15 (step t187.t2.t36 (cl (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t187.t2.t2 t187.t2.t35))
% 27.92/28.15 (step t187.t2 (cl (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule subproof :discharge (t187.t2.a0 t187.t2.a1 t187.t2.a2 t187.t2.a3 t187.t2.a4 t187.t2.a5 t187.t2.a6 t187.t2.a7 t187.t2.a8))
% 27.92/28.15 (step t187.t3 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t187.t4 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule and_pos)
% 27.92/28.15 (step t187.t5 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.92/28.15 (step t187.t6 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_pos)
% 27.92/28.15 (step t187.t7 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t187.t8 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule and_pos)
% 27.92/28.15 (step t187.t9 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 27.92/28.15 (step t187.t10 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t187.t11 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) :rule and_pos)
% 27.92/28.15 (step t187.t12 (cl (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))))) :rule resolution :premises (t187.t2 t187.t3 t187.t4 t187.t5 t187.t6 t187.t7 t187.t8 t187.t9 t187.t10 t187.t11))
% 27.92/28.15 (step t187.t13 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule reordering :premises (t187.t12))
% 27.92/28.15 (step t187.t14 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule contraction :premises (t187.t13))
% 27.92/28.15 (step t187.t15 (cl (=> (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t187.t1 t187.t14))
% 27.92/28.15 (step t187.t16 (cl (=> (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies_neg2)
% 27.92/28.15 (step t187.t17 (cl (=> (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (=> (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t187.t15 t187.t16))
% 27.92/28.15 (step t187.t18 (cl (=> (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule contraction :premises (t187.t17))
% 27.92/28.15 (step t187.t19 (cl (not (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule implies :premises (t187.t18))
% 27.92/28.15 (step t187.t20 (cl (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule and_neg)
% 27.92/28.15 (step t187.t21 (cl (and (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule resolution :premises (t187.t20 t187.a4 t187.a0 t187.a1 t187.a6 t187.a5 t187.a8 t187.a7 t187.a2 t187.a3))
% 27.92/28.15 (step t187.t22 (cl (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t187.t19 t187.t21))
% 27.92/28.15 (step t187 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule subproof :discharge (t187.a0 t187.a1 t187.a2 t187.a3 t187.a4 t187.a5 t187.a6 t187.a7 t187.a8))
% 27.92/28.15 (step t188 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule and_pos)
% 27.92/28.15 (step t189 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.92/28.15 (step t190 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t191 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) :rule and_pos)
% 27.92/28.15 (step t192 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t193 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 27.92/28.15 (step t194 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_pos)
% 27.92/28.15 (step t195 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_pos)
% 27.92/28.15 (step t196 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule and_pos)
% 27.92/28.15 (step t197 (cl (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t187 t188 t189 t190 t191 t192 t193 t194 t195 t196))
% 27.92/28.15 (step t198 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule reordering :premises (t197))
% 27.92/28.15 (step t199 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule contraction :premises (t198))
% 27.92/28.15 (step t200 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t186 t199))
% 27.92/28.15 (step t201 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies_neg2)
% 27.92/28.15 (step t202 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t200 t201))
% 27.92/28.15 (step t203 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule contraction :premises (t202))
% 27.92/28.15 (step t204 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule implies :premises (t203))
% 27.92/28.15 (step t205 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule resolution :premises (t185 t204))
% 27.92/28.15 (step t206 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (tptp.leq tptp.sk6 (tptp.skaf83 tptp.sk8)) (not (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk8) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule reordering :premises (t205))
% 27.92/28.15 (step t207 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or_pos)
% 27.92/28.15 (step t208 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule reordering :premises (t207))
% 27.92/28.15 (step t209 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule or_pos)
% 27.92/28.15 (step t210 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule reordering :premises (t209))
% 27.92/28.15 (step t211 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 27.92/28.15 (step t212 (cl (not (tptp.ssList tptp.sk8)) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t211))
% 27.92/28.15 (step t213 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 27.92/28.15 (step t214 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t213))
% 27.92/28.15 (step t215 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 27.92/28.15 (step t216 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t215))
% 27.92/28.15 (step t217 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t218)
% 27.92/28.15 (assume t218.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 27.92/28.15 (step t218.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 27.92/28.15 (step t218.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t218.t1))
% 27.92/28.15 (step t218.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t218.t2 t218.a0))
% 27.92/28.15 (step t218 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t218.a0))
% 27.92/28.15 (step t219 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t217 t218))
% 27.92/28.15 (step t220 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.92/28.15 (step t221 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t219 t220))
% 27.92/28.15 (step t222 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t221))
% 27.92/28.15 (step t223 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t222))
% 27.92/28.15 (step t224 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t223 a85))
% 27.92/28.15 (step t225 (cl (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t216 a7 a193 t224))
% 27.92/28.15 (step t226 (cl (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 27.92/28.15 (step t227 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t226))
% 27.92/28.15 (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t229)
% 27.92/28.15 (assume t229.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 27.92/28.15 (step t229.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 27.92/28.15 (step t229.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t229.t1))
% 27.92/28.15 (step t229.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t229.t2 t229.a0))
% 27.92/28.15 (step t229 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t229.a0))
% 27.92/28.15 (step t230 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t228 t229))
% 27.92/28.15 (step t231 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 27.92/28.15 (step t232 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t230 t231))
% 27.92/28.15 (step t233 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t232))
% 27.92/28.15 (step t234 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t233))
% 27.92/28.15 (step t235 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 27.92/28.15 (anchor :step t236 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.92/28.15 (step t236.t1 (cl (= U U)) :rule refl)
% 27.92/28.15 (step t236.t2 (cl (= V V)) :rule refl)
% 27.92/28.15 (step t236.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 27.92/28.15 (step t236.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t236.t3))
% 27.92/28.15 (step t236.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.92/28.15 (step t236.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.92/28.15 (step t236.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t236.t4 t236.t5 t236.t6))
% 27.92/28.15 (step t236 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 27.92/28.15 (step t237 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t235 t236 a97))
% 27.92/28.15 (step t238 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t234 t237))
% 27.92/28.15 (step t239 (cl (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t227 a7 a193 t238))
% 27.92/28.15 (step t240 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t241)
% 27.92/28.15 (assume t241.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 27.92/28.15 (step t241.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 27.92/28.15 (step t241.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t241.t1))
% 27.92/28.15 (step t241.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t241.t2 t241.a0))
% 27.92/28.15 (step t241 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t241.a0))
% 27.92/28.15 (step t242 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t240 t241))
% 27.92/28.15 (step t243 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.92/28.15 (step t244 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t242 t243))
% 27.92/28.15 (step t245 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t244))
% 27.92/28.15 (step t246 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t245))
% 27.92/28.15 (step t247 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule equiv_pos2)
% 27.92/28.15 (anchor :step t248 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.92/28.15 (step t248.t1 (cl (= U U)) :rule refl)
% 27.92/28.15 (step t248.t2 (cl (= V V)) :rule refl)
% 27.92/28.15 (step t248.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 27.92/28.15 (step t248.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t248.t3))
% 27.92/28.15 (step t248.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.92/28.15 (step t248.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.92/28.15 (step t248.t7 (cl (= (= tptp.nil V) (= tptp.nil V))) :rule refl)
% 27.92/28.15 (step t248.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule cong :premises (t248.t4 t248.t5 t248.t6 t248.t7))
% 27.92/28.15 (step t248 (cl (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) :rule bind)
% 27.92/28.15 (step t249 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule resolution :premises (t247 t248 a118))
% 27.92/28.15 (step t250 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t246 t249))
% 27.92/28.15 (step t251 (cl (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t214 t225 t153 t239 t250))
% 27.92/28.15 (step t252 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 27.92/28.15 (step t253 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t252))
% 27.92/28.15 (step t254 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t255)
% 27.92/28.15 (assume t255.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 27.92/28.15 (step t255.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 27.92/28.15 (step t255.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t255.t1))
% 27.92/28.15 (step t255.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t255.t2 t255.a0))
% 27.92/28.15 (step t255 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t255.a0))
% 27.92/28.15 (step t256 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t254 t255))
% 27.92/28.15 (step t257 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 27.92/28.15 (step t258 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t256 t257))
% 27.92/28.15 (step t259 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t258))
% 27.92/28.15 (step t260 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t259))
% 27.92/28.15 (step t261 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t260 a84))
% 27.92/28.15 (step t262 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t253 t225 t153 t261))
% 27.92/28.15 (step t263 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t264)
% 27.92/28.15 (assume t264.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.92/28.15 (step t264.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk8)))
% 27.92/28.15 (step t264.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t264.t1))
% 27.92/28.15 (step t264.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t264.t2 t264.a0))
% 27.92/28.15 (step t264 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t264.a0))
% 27.92/28.15 (step t265 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t263 t264))
% 27.92/28.15 (step t266 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 27.92/28.15 (step t267 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t265 t266))
% 27.92/28.15 (step t268 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t267))
% 27.92/28.15 (step t269 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t268))
% 27.92/28.15 (step t270 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule equiv_pos2)
% 27.92/28.15 (anchor :step t271 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.92/28.15 (step t271.t1 (cl (= U U)) :rule refl)
% 27.92/28.15 (step t271.t2 (cl (= V V)) :rule refl)
% 27.92/28.15 (step t271.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 27.92/28.15 (step t271.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t271.t3))
% 27.92/28.15 (step t271.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.92/28.15 (step t271.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.92/28.15 (step t271.t7 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 27.92/28.15 (step t271.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule cong :premises (t271.t4 t271.t5 t271.t6 t271.t7))
% 27.92/28.15 (step t271 (cl (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) :rule bind)
% 27.92/28.15 (step t272 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule resolution :premises (t270 t271 a117))
% 27.92/28.15 (step t273 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t269 t272))
% 27.92/28.15 (step t274 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t212 a195 t251 t262 t273))
% 27.92/28.15 (step t275 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t276)
% 27.92/28.15 (assume t276.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.92/28.15 (step t276.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.92/28.15 (step t276.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or :premises (t276.t1))
% 27.92/28.15 (step t276.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t276.t2 t276.a0))
% 27.92/28.15 (step t276 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t276.a0))
% 27.92/28.15 (step t277 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t275 t276))
% 27.92/28.15 (step t278 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 27.92/28.15 (step t279 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t277 t278))
% 27.92/28.15 (step t280 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t279))
% 27.92/28.15 (step t281 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t280))
% 27.92/28.15 (step t282 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t281 a75))
% 27.92/28.15 (step t283 (cl (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t210 t88 t274 t282))
% 27.92/28.15 (step t284 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) :rule implies_neg1)
% 27.92/28.15 (anchor :step t285)
% 27.92/28.15 (assume t285.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 27.92/28.15 (step t285.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.92/28.15 (step t285.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule or :premises (t285.t1))
% 27.92/28.15 (step t285.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t285.t2 t285.a0))
% 27.92/28.15 (step t285 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule subproof :discharge (t285.a0))
% 27.92/28.15 (step t286 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t284 t285))
% 27.92/28.15 (step t287 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule implies_neg2)
% 27.92/28.15 (step t288 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t286 t287))
% 27.92/28.15 (step t289 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule contraction :premises (t288))
% 27.92/28.15 (step t290 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies :premises (t289))
% 27.92/28.15 (step t291 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t290 a61))
% 27.97/28.15 (step t292 (cl (tptp.leq (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t208 t283 t291))
% 27.97/28.15 (step t293 (cl (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule or_pos)
% 27.97/28.15 (step t294 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule reordering :premises (t293))
% 27.97/28.15 (step t295 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t296)
% 27.97/28.15 (assume t296.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 27.97/28.15 (step t296.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.15 (step t296.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or :premises (t296.t1))
% 27.97/28.15 (step t296.t3 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t296.t2 t296.a0))
% 27.97/28.15 (step t296 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t296.a0))
% 27.97/28.15 (step t297 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t295 t296))
% 27.97/28.15 (step t298 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 27.97/28.15 (step t299 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t297 t298))
% 27.97/28.15 (step t300 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t299))
% 27.97/28.15 (step t301 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t300))
% 27.97/28.15 (step t302 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t301 a46))
% 27.97/28.15 (step t303 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t304)
% 27.97/28.15 (assume t304.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 27.97/28.15 (step t304.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V tptp.nil)))
% 27.97/28.15 (step t304.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule or :premises (t304.t1))
% 27.97/28.15 (step t304.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t304.t2 t304.a0))
% 27.97/28.15 (step t304 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule subproof :discharge (t304.a0))
% 27.97/28.15 (step t305 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t303 t304))
% 27.97/28.15 (step t306 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule implies_neg2)
% 27.97/28.15 (step t307 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule resolution :premises (t305 t306))
% 27.97/28.15 (step t308 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule contraction :premises (t307))
% 27.97/28.15 (step t309 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies :premises (t308))
% 27.97/28.15 (step t310 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t309 t182))
% 27.97/28.15 (step t311 (cl (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t294 a7 t302 t310))
% 27.97/28.15 (step t312 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule or_pos)
% 27.97/28.15 (step t313 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))))) :rule reordering :premises (t312))
% 27.97/28.15 (step t314 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t315)
% 27.97/28.15 (assume t315.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 27.97/28.15 (step t315.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.15 (step t315.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule or :premises (t315.t1))
% 27.97/28.15 (step t315.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule resolution :premises (t315.t2 t315.a0))
% 27.97/28.15 (step t315 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule subproof :discharge (t315.a0))
% 27.97/28.15 (step t316 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule resolution :premises (t314 t315))
% 27.97/28.15 (step t317 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))))) :rule implies_neg2)
% 27.97/28.15 (step t318 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))))) :rule resolution :premises (t316 t317))
% 27.97/28.15 (step t319 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))))) :rule contraction :premises (t318))
% 27.97/28.15 (step t320 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule implies :premises (t319))
% 27.97/28.15 (step t321 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule equiv_pos2)
% 27.97/28.15 (anchor :step t322 :args ((U $$unsorted) (:= U U)))
% 27.97/28.15 (step t322.t1 (cl (= U U)) :rule refl)
% 27.97/28.15 (step t322.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.15 (step t322.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 27.97/28.15 (step t322.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 (t322.t2 t322.t3))
% 27.97/28.15 (step t322 (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)
% 27.97/28.15 (step t323 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t321 t322 a72))
% 27.97/28.15 (step t324 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule resolution :premises (t320 t323))
% 27.97/28.15 (step t325 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule resolution :premises (t313 t88 t324))
% 27.97/28.15 (step t326 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t100 t108 t116 t131 t153 a193 a7 t170 t184 t206 t292 t311 t184 t325))
% 27.97/28.15 (step t327 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= tptp.sk6 (tptp.skaf83 tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t326))
% 27.97/28.15 (step t328 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))) :rule or_pos)
% 27.97/28.15 (step t329 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule reordering :premises (t328))
% 27.97/28.15 (step t330 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t331)
% 27.97/28.15 (assume t331.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))
% 27.97/28.15 (step t331.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk6) (:= W (tptp.skaf83 tptp.sk8)) (:= X (tptp.skaf82 tptp.sk8))))
% 27.97/28.15 (step t331.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule or :premises (t331.t1))
% 27.97/28.15 (step t331.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t331.t2 t331.a0))
% 27.97/28.15 (step t331 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule subproof :discharge (t331.a0))
% 27.97/28.15 (step t332 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t330 t331))
% 27.97/28.15 (step t333 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule implies_neg2)
% 27.97/28.15 (step t334 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule resolution :premises (t332 t333))
% 27.97/28.15 (step t335 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8))))) :rule contraction :premises (t334))
% 27.97/28.15 (step t336 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule implies :premises (t335))
% 27.97/28.15 (step t337 (cl (not (= (forall ((U $$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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule equiv_pos2)
% 27.97/28.15 (anchor :step t338 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.97/28.15 (step t338.t1 (cl (= U U)) :rule refl)
% 27.97/28.15 (step t338.t2 (cl (= V V)) :rule refl)
% 27.97/28.15 (step t338.t3 (cl (= W W)) :rule refl)
% 27.97/28.15 (step t338.t4 (cl (= X X)) :rule refl)
% 27.97/28.15 (step t338.t5 (cl (= Y Y)) :rule refl)
% 27.97/28.15 (step t338.t6 (cl (= (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y) (= Y (tptp.app U (tptp.cons V (tptp.cons W X)))))) :rule all_simplify)
% 27.97/28.15 (step t338.t7 (cl (= (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))))) :rule cong :premises (t338.t6))
% 27.97/28.15 (step t338.t8 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.97/28.15 (step t338.t9 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.15 (step t338.t10 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 27.97/28.15 (step t338.t11 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.97/28.15 (step t338.t12 (cl (= (not (tptp.equalelemsP Y)) (not (tptp.equalelemsP Y)))) :rule refl)
% 27.97/28.15 (step t338.t13 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 27.97/28.15 (step t338.t14 (cl (= (= V W) (= V W))) :rule refl)
% 27.97/28.15 (step t338.t15 (cl (= (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)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (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)))) :rule cong :premises (t338.t7 t338.t8 t338.t9 t338.t10 t338.t11 t338.t12 t338.t13 t338.t14))
% 27.97/28.15 (step t338 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (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))))) :rule bind)
% 27.97/28.15 (step t339 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule all_simplify)
% 27.97/28.15 (anchor :step t340 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 27.97/28.15 (step t340.t1 (cl (= U U)) :rule refl)
% 27.97/28.15 (step t340.t2 (cl (= V V)) :rule refl)
% 27.97/28.15 (step t340.t3 (cl (= W W)) :rule refl)
% 27.97/28.15 (step t340.t4 (cl (= X X)) :rule refl)
% 27.97/28.15 (step t340.t5 (cl (= (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X)))) true)) :rule all_simplify)
% 27.97/28.15 (step t340.t6 (cl (= (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not true))) :rule cong :premises (t340.t5))
% 27.97/28.15 (step t340.t7 (cl (= (not true) false)) :rule all_simplify)
% 27.97/28.15 (step t340.t8 (cl (= (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) false)) :rule trans :premises (t340.t6 t340.t7))
% 27.97/28.15 (step t340.t9 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.97/28.15 (step t340.t10 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.15 (step t340.t11 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 27.97/28.15 (step t340.t12 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.97/28.15 (step t340.t13 (cl (= (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))))) :rule refl)
% 27.97/28.15 (step t340.t14 (cl (= (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))))) :rule refl)
% 27.97/28.15 (step t340.t15 (cl (= (= V W) (= V W))) :rule refl)
% 27.97/28.15 (step t340.t16 (cl (= (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)) (or false (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule cong :premises (t340.t8 t340.t9 t340.t10 t340.t11 t340.t12 t340.t13 t340.t14 t340.t15))
% 27.97/28.15 (step t340.t17 (cl (= (or false (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule all_simplify)
% 27.97/28.15 (step t340.t18 (cl (= (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule trans :premises (t340.t16 t340.t17))
% 27.97/28.15 (step t340 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule bind)
% 27.97/28.15 (step t341 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= Y (tptp.app U (tptp.cons V (tptp.cons W X))))) (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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule trans :premises (t339 t340))
% 27.97/28.15 (step t342 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W))))) :rule trans :premises (t338 t341))
% 27.97/28.15 (step t343 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP (tptp.app U (tptp.cons V (tptp.cons W X))))) (not (tptp.ssList (tptp.app U (tptp.cons V (tptp.cons W X))))) (= V W)))) :rule resolution :premises (t337 t342 a179))
% 27.97/28.15 (step t344 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk8))) (not (tptp.ssItem tptp.sk6)) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (= tptp.sk6 (tptp.skaf83 tptp.sk8)))) :rule resolution :premises (t336 t343))
% 27.97/28.15 (step t345 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule and_neg)
% 27.97/28.15 (step t346 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t347)
% 27.97/28.15 (assume t347.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))
% 27.97/28.15 (assume t347.a1 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.15 (assume t347.a2 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))
% 27.97/28.15 (assume t347.a3 (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))
% 27.97/28.15 (step t347.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t347.t2)
% 27.97/28.15 (assume t347.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))
% 27.97/28.15 (assume t347.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))
% 27.97/28.15 (assume t347.t2.a2 (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))
% 27.97/28.15 (assume t347.t2.a3 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.15 (step t347.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) true) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule equiv_simplify)
% 27.97/28.15 (step t347.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) true)) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule equiv1 :premises (t347.t2.t1))
% 27.97/28.15 (step t347.t2.t3 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.97/28.15 (step t347.t2.t4 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 27.97/28.15 (step t347.t2.t5 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule symm :premises (t347.t2.a3))
% 27.97/28.15 (step t347.t2.t6 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.sk8))) :rule cong :premises (t347.t2.t4 t347.t2.t5))
% 27.97/28.15 (step t347.t2.t7 (cl (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))) :rule symm :premises (t347.t2.a2))
% 27.97/28.15 (step t347.t2.t8 (cl (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule symm :premises (t347.t2.t7))
% 27.97/28.15 (step t347.t2.t9 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule trans :premises (t347.t2.t6 t347.t2.t8))
% 27.97/28.15 (step t347.t2.t10 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule cong :premises (t347.t2.t3 t347.t2.t9))
% 27.97/28.15 (step t347.t2.t11 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t347.t2.a1))
% 27.97/28.15 (step t347.t2.t12 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule trans :premises (t347.t2.t10 t347.t2.t11))
% 27.97/28.15 (step t347.t2.t13 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t347.t2.t12))
% 27.97/28.15 (step t347.t2.t14 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule equiv_simplify)
% 27.97/28.15 (step t347.t2.t15 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule equiv2 :premises (t347.t2.t14))
% 27.97/28.15 (step t347.t2.t16 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) true)) :rule resolution :premises (t347.t2.t15 t347.t2.a0))
% 27.97/28.15 (step t347.t2.t17 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) true)) :rule trans :premises (t347.t2.t13 t347.t2.t16))
% 27.97/28.15 (step t347.t2.t18 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t347.t2.t2 t347.t2.t17))
% 27.97/28.15 (step t347.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule subproof :discharge (t347.t2.a0 t347.t2.a1 t347.t2.a2 t347.t2.a3))
% 27.97/28.15 (step t347.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and_pos)
% 27.97/28.15 (step t347.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t347.t5 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule and_pos)
% 27.97/28.15 (step t347.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t347.t7 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t347.t2 t347.t3 t347.t4 t347.t5 t347.t6))
% 27.97/28.15 (step t347.t8 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule reordering :premises (t347.t7))
% 27.97/28.15 (step t347.t9 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t347.t8))
% 27.97/28.15 (step t347.t10 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t347.t1 t347.t9))
% 27.97/28.15 (step t347.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies_neg2)
% 27.97/28.15 (step t347.t12 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t347.t10 t347.t11))
% 27.97/28.15 (step t347.t13 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule contraction :premises (t347.t12))
% 27.97/28.15 (step t347.t14 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies :premises (t347.t13))
% 27.97/28.15 (step t347.t15 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_neg)
% 27.97/28.15 (step t347.t16 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t347.t15 t347.a0 t347.a2 t347.a3 t347.a1))
% 27.97/28.15 (step t347.t17 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t347.t14 t347.t16))
% 27.97/28.15 (step t347 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule subproof :discharge (t347.a0 t347.a1 t347.a2 t347.a3))
% 27.97/28.15 (step t348 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and_pos)
% 27.97/28.15 (step t349 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t350 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t351 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule and_pos)
% 27.97/28.15 (step t352 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule resolution :premises (t347 t348 t349 t350 t351))
% 27.97/28.15 (step t353 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule reordering :premises (t352))
% 27.97/28.15 (step t354 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t353))
% 27.97/28.15 (step t355 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t346 t354))
% 27.97/28.15 (step t356 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies_neg2)
% 27.97/28.15 (step t357 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t355 t356))
% 27.97/28.15 (step t358 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule contraction :premises (t357))
% 27.97/28.15 (step t359 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies :premises (t358))
% 27.97/28.15 (step t360 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t345 t359))
% 27.97/28.15 (step t361 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule or_pos)
% 27.97/28.15 (step t362 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule reordering :premises (t361))
% 27.97/28.15 (step t363 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule equiv_pos2)
% 27.97/28.15 (step t364 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 27.97/28.15 (step t365 (cl (= (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule refl)
% 27.97/28.15 (step t366 (cl (= (not (tptp.ssList tptp.sk8)) (not (tptp.ssList tptp.sk8)))) :rule refl)
% 27.97/28.15 (step t367 (cl (= (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule all_simplify)
% 27.97/28.15 (step t368 (cl (= (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule cong :premises (t365 t366 t367))
% 27.97/28.15 (step t369 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) :rule cong :premises (t364 t368))
% 27.97/28.15 (step t370 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t371)
% 27.97/28.15 (assume t371.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.97/28.15 (step t371.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk8)))
% 27.97/28.15 (step t371.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) :rule or :premises (t371.t1))
% 27.97/28.15 (step t371.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) :rule resolution :premises (t371.t2 t371.a0))
% 27.97/28.15 (step t371 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) :rule subproof :discharge (t371.a0))
% 27.97/28.15 (step t372 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) :rule resolution :premises (t370 t371))
% 27.97/28.15 (step t373 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))))) :rule implies_neg2)
% 27.97/28.15 (step t374 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))))) :rule resolution :premises (t372 t373))
% 27.97/28.15 (step t375 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))))) :rule contraction :premises (t374))
% 27.97/28.15 (step t376 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule resolution :premises (t363 t369 t375))
% 27.97/28.15 (step t377 (cl (not (forall ((U $$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.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule implies :premises (t376))
% 27.97/28.15 (step t378 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule resolution :premises (t377 a119))
% 27.97/28.15 (step t379 (cl (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule resolution :premises (t362 a193 a195 t378))
% 27.97/28.15 (step t380 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule or_pos)
% 27.97/28.15 (step t381 (cl (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) :rule reordering :premises (t380))
% 27.97/28.15 (step t382 (cl (=> (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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t383)
% 27.97/28.15 (assume t383.a0 (forall ((U $$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))))))
% 27.97/28.15 (step t383.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 27.97/28.15 (step t383.t2 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule or :premises (t383.t1))
% 27.97/28.15 (step t383.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule resolution :premises (t383.t2 t383.a0))
% 27.97/28.15 (step t383 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule subproof :discharge (t383.a0))
% 27.97/28.15 (step t384 (cl (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule resolution :premises (t382 t383))
% 27.97/28.15 (step t385 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) :rule implies_neg2)
% 27.97/28.15 (step t386 (cl (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) :rule resolution :premises (t384 t385))
% 27.97/28.15 (step t387 (cl (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))))) :rule contraction :premises (t386))
% 27.97/28.15 (step t388 (cl (not (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)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule implies :premises (t387))
% 27.97/28.15 (step t389 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))) :rule resolution :premises (t388 a148))
% 27.97/28.15 (step t390 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule resolution :premises (t381 a195 t225 t153 t389))
% 27.97/28.15 (step t391 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule and_neg)
% 27.97/28.15 (step t392 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t393)
% 27.97/28.15 (assume t393.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))
% 27.97/28.15 (assume t393.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.15 (assume t393.a2 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.15 (assume t393.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (assume t393.a4 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))
% 27.97/28.15 (assume t393.a5 (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))
% 27.97/28.15 (assume t393.a6 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (assume t393.a7 (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))
% 27.97/28.15 (assume t393.a8 (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.15 (assume t393.a9 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))
% 27.97/28.15 (assume t393.a10 (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.15 (assume t393.a11 (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.15 (step t393.t1 (cl (=> (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t393.t2)
% 27.97/28.15 (assume t393.t2.a0 (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.15 (assume t393.t2.a1 (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))
% 27.97/28.15 (assume t393.t2.a2 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))
% 27.97/28.15 (assume t393.t2.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.15 (assume t393.t2.a4 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))
% 27.97/28.15 (assume t393.t2.a5 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (assume t393.t2.a6 (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.15 (assume t393.t2.a7 (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.15 (assume t393.t2.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (assume t393.t2.a9 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))))
% 27.97/28.15 (assume t393.t2.a10 (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))
% 27.97/28.15 (assume t393.t2.a11 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.15 (step t393.t2.t1 (cl (= (= (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) true) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule equiv_simplify)
% 27.97/28.15 (step t393.t2.t2 (cl (not (= (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) true)) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule equiv1 :premises (t393.t2.t1))
% 27.97/28.15 (step t393.t2.t3 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 27.97/28.15 (step t393.t2.t4 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 27.97/28.15 (step t393.t2.t5 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule symm :premises (t393.t2.a11))
% 27.97/28.15 (step t393.t2.t6 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.cons tptp.sk6 tptp.sk8))) :rule cong :premises (t393.t2.t4 t393.t2.t5))
% 27.97/28.15 (step t393.t2.t7 (cl (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8) (tptp.cons tptp.sk6 tptp.sk8))) :rule symm :premises (t393.t2.a10))
% 27.97/28.15 (step t393.t2.t8 (cl (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule symm :premises (t393.t2.t7))
% 27.97/28.15 (step t393.t2.t9 (cl (= (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule trans :premises (t393.t2.t6 t393.t2.t8))
% 27.97/28.15 (step t393.t2.t10 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule cong :premises (t393.t2.t3 t393.t2.t9))
% 27.97/28.15 (step t393.t2.t11 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t393.t2.a9))
% 27.97/28.15 (step t393.t2.t12 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule trans :premises (t393.t2.t10 t393.t2.t11))
% 27.97/28.15 (step t393.t2.t13 (cl (= (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t393.t2.t12))
% 27.97/28.15 (step t393.t2.t14 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule symm :premises (t393.t2.a8))
% 27.97/28.15 (step t393.t2.t15 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule symm :premises (t393.t2.t14))
% 27.97/28.15 (step t393.t2.t16 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t393.t2.a6))
% 27.97/28.15 (step t393.t2.t17 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule symm :premises (t393.t2.t16))
% 27.97/28.15 (step t393.t2.t18 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t393.t2.a5))
% 27.97/28.15 (step t393.t2.t19 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule trans :premises (t393.t2.t18 t393.t2.a4))
% 27.97/28.15 (step t393.t2.t20 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t393.t2.t19))
% 27.97/28.15 (step t393.t2.t21 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t393.t2.a4))
% 27.97/28.15 (step t393.t2.t22 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t393.t2.t21))
% 27.97/28.15 (step t393.t2.t23 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t393.t2.t17 t393.t2.t20 t393.t2.t22))
% 27.97/28.15 (step t393.t2.t24 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.97/28.15 (step t393.t2.t25 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule cong :premises (t393.t2.t23 t393.t2.t24))
% 27.97/28.15 (step t393.t2.t26 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t393.t2.a7))
% 27.97/28.15 (step t393.t2.t27 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule symm :premises (t393.t2.t26))
% 27.97/28.15 (step t393.t2.t28 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t393.t2.t19))
% 27.97/28.15 (step t393.t2.t29 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t393.t2.a4))
% 27.97/28.15 (step t393.t2.t30 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t393.t2.t29))
% 27.97/28.15 (step t393.t2.t31 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t393.t2.t27 t393.t2.t28 t393.t2.t30))
% 27.97/28.15 (step t393.t2.t32 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule cong :premises (t393.t2.t25 t393.t2.t31))
% 27.97/28.15 (step t393.t2.t33 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule refl)
% 27.97/28.15 (step t393.t2.t34 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t393.t2.a3))
% 27.97/28.15 (step t393.t2.t35 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule symm :premises (t393.t2.t34))
% 27.97/28.15 (step t393.t2.t36 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule trans :premises (t393.t2.t21 t393.t2.t35))
% 27.97/28.15 (step t393.t2.t37 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule cong :premises (t393.t2.t36))
% 27.97/28.15 (step t393.t2.t38 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) tptp.nil)) :rule symm :premises (t393.t2.a2))
% 27.97/28.15 (step t393.t2.t39 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) :rule trans :premises (t393.t2.t29 t393.t2.t37 t393.t2.t38))
% 27.97/28.15 (step t393.t2.t40 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule cong :premises (t393.t2.t33 t393.t2.t39))
% 27.97/28.15 (step t393.t2.t41 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule symm :premises (t393.t2.a1))
% 27.97/28.15 (step t393.t2.t42 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule trans :premises (t393.t2.a5 t393.t2.t15 t393.t2.t32 t393.t2.t40 t393.t2.t41))
% 27.97/28.15 (step t393.t2.t43 (cl (= (tptp.equalelemsP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule cong :premises (t393.t2.t42))
% 27.97/28.15 (step t393.t2.t44 (cl (= (= (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) true) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule equiv_simplify)
% 27.97/28.15 (step t393.t2.t45 (cl (= (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) true) (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule equiv2 :premises (t393.t2.t44))
% 27.97/28.15 (step t393.t2.t46 (cl (= (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) true)) :rule resolution :premises (t393.t2.t45 t393.t2.a0))
% 27.97/28.15 (step t393.t2.t47 (cl (= (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) true)) :rule trans :premises (t393.t2.t13 t393.t2.t43 t393.t2.t46))
% 27.97/28.15 (step t393.t2.t48 (cl (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t393.t2.t2 t393.t2.t47))
% 27.97/28.15 (step t393.t2 (cl (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule subproof :discharge (t393.t2.a0 t393.t2.a1 t393.t2.a2 t393.t2.a3 t393.t2.a4 t393.t2.a5 t393.t2.a6 t393.t2.a7 t393.t2.a8 t393.t2.a9 t393.t2.a10 t393.t2.a11))
% 27.97/28.15 (step t393.t3 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t393.t4 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t393.t5 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_pos)
% 27.97/28.15 (step t393.t6 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t393.t7 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t393.t8 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.15 (step t393.t9 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.15 (step t393.t10 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.15 (step t393.t11 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.15 (step t393.t12 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t393.t13 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule and_pos)
% 27.97/28.15 (step t393.t14 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t393.t15 (cl (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t393.t2 t393.t3 t393.t4 t393.t5 t393.t6 t393.t7 t393.t8 t393.t9 t393.t10 t393.t11 t393.t12 t393.t13 t393.t14))
% 27.97/28.15 (step t393.t16 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule reordering :premises (t393.t15))
% 27.97/28.15 (step t393.t17 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t393.t16))
% 27.97/28.15 (step t393.t18 (cl (=> (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t393.t1 t393.t17))
% 27.97/28.15 (step t393.t19 (cl (=> (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies_neg2)
% 27.97/28.15 (step t393.t20 (cl (=> (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (=> (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t393.t18 t393.t19))
% 27.97/28.15 (step t393.t21 (cl (=> (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule contraction :premises (t393.t20))
% 27.97/28.15 (step t393.t22 (cl (not (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies :premises (t393.t21))
% 27.97/28.15 (step t393.t23 (cl (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_neg)
% 27.97/28.15 (step t393.t24 (cl (and (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t393.t23 t393.a8 t393.a7 t393.a9 t393.a1 t393.a0 t393.a3 t393.a11 t393.a10 t393.a6 t393.a4 t393.a5 t393.a2))
% 27.97/28.15 (step t393.t25 (cl (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t393.t22 t393.t24))
% 27.97/28.15 (step t393 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule subproof :discharge (t393.a0 t393.a1 t393.a2 t393.a3 t393.a4 t393.a5 t393.a6 t393.a7 t393.a8 t393.a9 t393.a10 t393.a11))
% 27.97/28.15 (step t394 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t395 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t396 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t397 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.15 (step t398 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) :rule and_pos)
% 27.97/28.15 (step t399 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) :rule and_pos)
% 27.97/28.15 (step t400 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.15 (step t401 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t402 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.15 (step t403 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_pos)
% 27.97/28.15 (step t404 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.15 (step t405 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.15 (step t406 (cl (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule resolution :premises (t393 t394 t395 t396 t397 t398 t399 t400 t401 t402 t403 t404 t405))
% 27.97/28.15 (step t407 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule reordering :premises (t406))
% 27.97/28.15 (step t408 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t407))
% 27.97/28.15 (step t409 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t392 t408))
% 27.97/28.15 (step t410 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (not (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule implies_neg2)
% 27.97/28.15 (step t411 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule resolution :premises (t409 t410))
% 27.97/28.15 (step t412 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))))) :rule contraction :premises (t411))
% 27.97/28.15 (step t413 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies :premises (t412))
% 27.97/28.15 (step t414 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t391 t413))
% 27.97/28.15 (step t415 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8)))) (not (= (tptp.cons tptp.sk6 tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.sk8))) (tptp.equalelemsP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule reordering :premises (t414))
% 27.97/28.15 (step t416 (cl (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule or_pos)
% 27.97/28.15 (step t417 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule reordering :premises (t416))
% 27.97/28.15 (step t418 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t419)
% 27.97/28.15 (assume t419.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 27.97/28.15 (step t419.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V tptp.nil)))
% 27.97/28.15 (step t419.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule or :premises (t419.t1))
% 27.97/28.15 (step t419.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t419.t2 t419.a0))
% 27.97/28.15 (step t419 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule subproof :discharge (t419.a0))
% 27.97/28.15 (step t420 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t418 t419))
% 27.97/28.15 (step t421 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule implies_neg2)
% 27.97/28.15 (step t422 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule resolution :premises (t420 t421))
% 27.97/28.15 (step t423 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule contraction :premises (t422))
% 27.97/28.15 (step t424 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies :premises (t423))
% 27.97/28.15 (step t425 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule equiv_pos2)
% 27.97/28.15 (anchor :step t426 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.97/28.15 (step t426.t1 (cl (= U U)) :rule refl)
% 27.97/28.15 (step t426.t2 (cl (= V V)) :rule refl)
% 27.97/28.15 (step t426.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.97/28.15 (step t426.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.97/28.15 (step t426.t5 (cl (= (= (tptp.tl (tptp.cons U V)) V) (= V (tptp.tl (tptp.cons U V))))) :rule all_simplify)
% 27.97/28.15 (step t426.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule cong :premises (t426.t3 t426.t4 t426.t5))
% 27.97/28.15 (step t426 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) :rule bind)
% 27.97/28.15 (step t427 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule resolution :premises (t425 t426 a95))
% 27.97/28.15 (step t428 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t424 t427))
% 27.97/28.15 (step t429 (cl (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t417 a7 t302 t428))
% 27.97/28.15 (step t430 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule or_pos)
% 27.97/28.15 (step t431 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule reordering :premises (t430))
% 27.97/28.15 (step t432 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t433)
% 27.97/28.15 (assume t433.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 27.97/28.15 (step t433.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (step t433.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule or :premises (t433.t1))
% 27.97/28.15 (step t433.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t433.t2 t433.a0))
% 27.97/28.15 (step t433 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule subproof :discharge (t433.a0))
% 27.97/28.15 (step t434 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t432 t433))
% 27.97/28.15 (step t435 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies_neg2)
% 27.97/28.15 (step t436 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t434 t435))
% 27.97/28.15 (step t437 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule contraction :premises (t436))
% 27.97/28.15 (step t438 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule implies :premises (t437))
% 27.97/28.15 (step t439 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t438 a63))
% 27.97/28.15 (step t440 (cl (tptp.equalelemsP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule resolution :premises (t431 t283 t439))
% 27.97/28.15 (step t441 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule or_pos)
% 27.97/28.15 (step t442 (cl (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule reordering :premises (t441))
% 27.97/28.15 (step t443 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t444)
% 27.97/28.15 (assume t444.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 27.97/28.15 (step t444.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.15 (step t444.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or :premises (t444.t1))
% 27.97/28.15 (step t444.t3 (cl (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t444.t2 t444.a0))
% 27.97/28.15 (step t444 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t444.a0))
% 27.97/28.15 (step t445 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t443 t444))
% 27.97/28.15 (step t446 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 27.97/28.15 (step t447 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t445 t446))
% 27.97/28.15 (step t448 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t447))
% 27.97/28.15 (step t449 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t448))
% 27.97/28.15 (step t450 (cl (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t449 a12))
% 27.97/28.15 (step t451 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t452)
% 27.97/28.15 (assume t452.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 27.97/28.15 (step t452.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.15 (step t452.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or :premises (t452.t1))
% 27.97/28.15 (step t452.t3 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t452.t2 t452.a0))
% 27.97/28.15 (step t452 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t452.a0))
% 27.97/28.15 (step t453 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t451 t452))
% 27.97/28.15 (step t454 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 27.97/28.15 (step t455 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t453 t454))
% 27.97/28.15 (step t456 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t455))
% 27.97/28.15 (step t457 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t456))
% 27.97/28.15 (step t458 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t457 a11))
% 27.97/28.15 (step t459 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t460)
% 27.97/28.15 (assume t460.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 27.97/28.15 (step t460.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (step t460.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule or :premises (t460.t1))
% 27.97/28.15 (step t460.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t460.t2 t460.a0))
% 27.97/28.15 (step t460 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule subproof :discharge (t460.a0))
% 27.97/28.15 (step t461 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t459 t460))
% 27.97/28.15 (step t462 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule implies_neg2)
% 27.97/28.15 (step t463 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule resolution :premises (t461 t462))
% 27.97/28.15 (step t464 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule contraction :premises (t463))
% 27.97/28.15 (step t465 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule implies :premises (t464))
% 27.97/28.15 (step t466 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t465 t182))
% 27.97/28.15 (step t467 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t442 t450 t458 t466))
% 27.97/28.15 (step t468 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule or_pos)
% 27.97/28.15 (step t469 (cl (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule reordering :premises (t468))
% 27.97/28.15 (step t470 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t471)
% 27.97/28.15 (assume t471.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 27.97/28.15 (step t471.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (step t471.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule or :premises (t471.t1))
% 27.97/28.15 (step t471.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t471.t2 t471.a0))
% 27.97/28.15 (step t471 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule subproof :discharge (t471.a0))
% 27.97/28.15 (step t472 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t470 t471))
% 27.97/28.15 (step t473 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule implies_neg2)
% 27.97/28.15 (step t474 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule resolution :premises (t472 t473))
% 27.97/28.15 (step t475 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule contraction :premises (t474))
% 27.97/28.15 (step t476 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule implies :premises (t475))
% 27.97/28.15 (step t477 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t476 t427))
% 27.97/28.15 (step t478 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t469 t450 t458 t477))
% 27.97/28.15 (step t479 (cl (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule or_pos)
% 27.97/28.15 (step t480 (cl (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule reordering :premises (t479))
% 27.97/28.15 (step t481 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule equiv_pos2)
% 27.97/28.15 (step t482 (cl (= (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule refl)
% 27.97/28.15 (step t483 (cl (= (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule refl)
% 27.97/28.15 (step t484 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule all_simplify)
% 27.97/28.15 (step t485 (cl (= (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule cong :premises (t482 t483 t484))
% 27.97/28.15 (step t486 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule cong :premises (t364 t485))
% 27.97/28.15 (step t487 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t488)
% 27.97/28.15 (assume t488.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.97/28.15 (step t488.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (step t488.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule or :premises (t488.t1))
% 27.97/28.15 (step t488.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t488.t2 t488.a0))
% 27.97/28.15 (step t488 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule subproof :discharge (t488.a0))
% 27.97/28.15 (step t489 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t487 t488))
% 27.97/28.15 (step t490 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule implies_neg2)
% 27.97/28.15 (step t491 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t489 t490))
% 27.97/28.15 (step t492 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule contraction :premises (t491))
% 27.97/28.15 (step t493 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t481 t486 t492))
% 27.97/28.15 (step t494 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule implies :premises (t493))
% 27.97/28.15 (step t495 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t494 a119))
% 27.97/28.15 (step t496 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t480 t450 t458 t495))
% 27.97/28.15 (step t497 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule or_pos)
% 27.97/28.15 (step t498 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))))) :rule reordering :premises (t497))
% 27.97/28.15 (step t499 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))))) :rule equiv_pos2)
% 27.97/28.15 (step t500 (cl (= (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule refl)
% 27.97/28.15 (step t501 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 27.97/28.15 (step t502 (cl (= (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))) :rule all_simplify)
% 27.97/28.15 (step t503 (cl (= (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))))) :rule cong :premises (t500 t501 t502))
% 27.97/28.15 (step t504 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))))) :rule cong :premises (t364 t503))
% 27.97/28.15 (step t505 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t506)
% 27.97/28.15 (assume t506.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 27.97/28.15 (step t506.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V tptp.nil)))
% 27.97/28.15 (step t506.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule or :premises (t506.t1))
% 27.97/28.15 (step t506.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t506.t2 t506.a0))
% 27.97/28.15 (step t506 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule subproof :discharge (t506.a0))
% 27.97/28.15 (step t507 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t505 t506))
% 27.97/28.15 (step t508 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies_neg2)
% 27.97/28.15 (step t509 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t507 t508))
% 27.97/28.15 (step t510 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule contraction :premises (t509))
% 27.97/28.15 (step t511 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))))) :rule resolution :premises (t499 t504 t510))
% 27.97/28.15 (step t512 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))) :rule implies :premises (t511))
% 27.97/28.15 (step t513 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))) :rule resolution :premises (t512 a119))
% 27.97/28.15 (step t514 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule resolution :premises (t498 a7 t283 t513))
% 27.97/28.15 (step t515 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule or_pos)
% 27.97/28.15 (step t516 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule reordering :premises (t515))
% 27.97/28.15 (step t517 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t518)
% 27.97/28.15 (assume t518.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 27.97/28.15 (step t518.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.15 (step t518.t2 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or :premises (t518.t1))
% 27.97/28.15 (step t518.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t518.t2 t518.a0))
% 27.97/28.15 (step t518 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t518.a0))
% 27.97/28.15 (step t519 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t517 t518))
% 27.97/28.15 (step t520 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 27.97/28.15 (step t521 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t519 t520))
% 27.97/28.15 (step t522 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule contraction :premises (t521))
% 27.97/28.15 (step t523 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t522))
% 27.97/28.15 (step t524 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 27.97/28.15 (anchor :step t525 :args ((U $$unsorted) (:= U U)))
% 27.97/28.15 (step t525.t1 (cl (= U U)) :rule refl)
% 27.97/28.15 (step t525.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.15 (step t525.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 27.97/28.15 (step t525.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 27.97/28.15 (step t525.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 (t525.t2 t525.t3 t525.t4))
% 27.97/28.15 (step t525 (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)
% 27.97/28.15 (step t526 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t524 t525 a108))
% 27.97/28.15 (step t527 (cl (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t523 t526))
% 27.97/28.15 (step t528 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t516 t88 t274 t527))
% 27.97/28.15 (step t529 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule and_neg)
% 27.97/28.15 (step t530 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule implies_neg1)
% 27.97/28.15 (anchor :step t531)
% 27.97/28.15 (assume t531.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))
% 27.97/28.15 (assume t531.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.15 (assume t531.a2 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.15 (assume t531.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (assume t531.a4 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.15 (assume t531.a5 (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))
% 27.97/28.15 (assume t531.a6 (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.15 (assume t531.a7 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))
% 27.97/28.15 (assume t531.a8 (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.15 (assume t531.a9 (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.15 (step t531.t1 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t531.t2)
% 27.97/28.16 (assume t531.t2.a0 (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.16 (assume t531.t2.a1 (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)))
% 27.97/28.16 (assume t531.t2.a2 (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))
% 27.97/28.16 (assume t531.t2.a3 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.16 (assume t531.t2.a4 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))
% 27.97/28.16 (assume t531.t2.a5 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.16 (assume t531.t2.a6 (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.16 (assume t531.t2.a7 (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))
% 27.97/28.16 (assume t531.t2.a8 (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.16 (assume t531.t2.a9 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.16 (step t531.t2.t1 (cl (= (= (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) true) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule equiv_simplify)
% 27.97/28.16 (step t531.t2.t2 (cl (not (= (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) true)) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule equiv1 :premises (t531.t2.t1))
% 27.97/28.16 (step t531.t2.t3 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 27.97/28.16 (step t531.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule symm :premises (t531.t2.a9))
% 27.97/28.16 (step t531.t2.t5 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule cong :premises (t531.t2.t3 t531.t2.t4))
% 27.97/28.16 (step t531.t2.t6 (cl (= (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t531.t2.t5))
% 27.97/28.16 (step t531.t2.t7 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule symm :premises (t531.t2.a8))
% 27.97/28.16 (step t531.t2.t8 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule symm :premises (t531.t2.t7))
% 27.97/28.16 (step t531.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t531.t2.a6))
% 27.97/28.16 (step t531.t2.t10 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule symm :premises (t531.t2.t9))
% 27.97/28.16 (step t531.t2.t11 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t531.t2.a5))
% 27.97/28.16 (step t531.t2.t12 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule trans :premises (t531.t2.t11 t531.t2.a4))
% 27.97/28.16 (step t531.t2.t13 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t531.t2.t12))
% 27.97/28.16 (step t531.t2.t14 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t531.t2.a4))
% 27.97/28.16 (step t531.t2.t15 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t531.t2.t14))
% 27.97/28.16 (step t531.t2.t16 (cl (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t531.t2.t10 t531.t2.t13 t531.t2.t15))
% 27.97/28.16 (step t531.t2.t17 (cl (= tptp.nil tptp.nil)) :rule refl)
% 27.97/28.16 (step t531.t2.t18 (cl (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule cong :premises (t531.t2.t16 t531.t2.t17))
% 27.97/28.16 (step t531.t2.t19 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t531.t2.a7))
% 27.97/28.16 (step t531.t2.t20 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule symm :premises (t531.t2.t19))
% 27.97/28.16 (step t531.t2.t21 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t531.t2.t12))
% 27.97/28.16 (step t531.t2.t22 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)))) :rule cong :premises (t531.t2.a4))
% 27.97/28.16 (step t531.t2.t23 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t531.t2.t22))
% 27.97/28.16 (step t531.t2.t24 (cl (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t531.t2.t20 t531.t2.t21 t531.t2.t23))
% 27.97/28.16 (step t531.t2.t25 (cl (= (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule cong :premises (t531.t2.t18 t531.t2.t24))
% 27.97/28.16 (step t531.t2.t26 (cl (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule refl)
% 27.97/28.16 (step t531.t2.t27 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t531.t2.a3))
% 27.97/28.16 (step t531.t2.t28 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule symm :premises (t531.t2.t27))
% 27.97/28.16 (step t531.t2.t29 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule trans :premises (t531.t2.t14 t531.t2.t28))
% 27.97/28.16 (step t531.t2.t30 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule cong :premises (t531.t2.t29))
% 27.97/28.16 (step t531.t2.t31 (cl (= (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) tptp.nil)) :rule symm :premises (t531.t2.a2))
% 27.97/28.16 (step t531.t2.t32 (cl (= (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) :rule trans :premises (t531.t2.t22 t531.t2.t30 t531.t2.t31))
% 27.97/28.16 (step t531.t2.t33 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.tl (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule cong :premises (t531.t2.t26 t531.t2.t32))
% 27.97/28.16 (step t531.t2.t34 (cl (= (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule symm :premises (t531.t2.a1))
% 27.97/28.16 (step t531.t2.t35 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule trans :premises (t531.t2.a5 t531.t2.t8 t531.t2.t25 t531.t2.t33 t531.t2.t34))
% 27.97/28.16 (step t531.t2.t36 (cl (= (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule cong :premises (t531.t2.t35))
% 27.97/28.16 (step t531.t2.t37 (cl (= (= (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) true) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule equiv_simplify)
% 27.97/28.16 (step t531.t2.t38 (cl (= (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) true) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule equiv2 :premises (t531.t2.t37))
% 27.97/28.16 (step t531.t2.t39 (cl (= (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) true)) :rule resolution :premises (t531.t2.t38 t531.t2.a0))
% 27.97/28.16 (step t531.t2.t40 (cl (= (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) true)) :rule trans :premises (t531.t2.t6 t531.t2.t36 t531.t2.t39))
% 27.97/28.16 (step t531.t2.t41 (cl (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t531.t2.t2 t531.t2.t40))
% 27.97/28.16 (step t531.t2 (cl (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule subproof :discharge (t531.t2.a0 t531.t2.a1 t531.t2.a2 t531.t2.a3 t531.t2.a4 t531.t2.a5 t531.t2.a6 t531.t2.a7 t531.t2.a8 t531.t2.a9))
% 27.97/28.16 (step t531.t3 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t531.t4 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t531.t5 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_pos)
% 27.97/28.16 (step t531.t6 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t531.t7 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t531.t8 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.16 (step t531.t9 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.16 (step t531.t10 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.16 (step t531.t11 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.16 (step t531.t12 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.16 (step t531.t13 (cl (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t531.t2 t531.t3 t531.t4 t531.t5 t531.t6 t531.t7 t531.t8 t531.t9 t531.t10 t531.t11 t531.t12))
% 27.97/28.16 (step t531.t14 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule reordering :premises (t531.t13))
% 27.97/28.16 (step t531.t15 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule contraction :premises (t531.t14))
% 27.97/28.16 (step t531.t16 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t531.t1 t531.t15))
% 27.97/28.16 (step t531.t17 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies_neg2)
% 27.97/28.16 (step t531.t18 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t531.t16 t531.t17))
% 27.97/28.16 (step t531.t19 (cl (=> (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t531.t18))
% 27.97/28.16 (step t531.t20 (cl (not (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies :premises (t531.t19))
% 27.97/28.16 (step t531.t21 (cl (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_neg)
% 27.97/28.16 (step t531.t22 (cl (and (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t531.t21 t531.a6 t531.a5 t531.a7 t531.a1 t531.a0 t531.a3 t531.a9 t531.a8 t531.a4 t531.a2))
% 27.97/28.16 (step t531.t23 (cl (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t531.t20 t531.t22))
% 27.97/28.16 (step t531 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule subproof :discharge (t531.a0 t531.a1 t531.a2 t531.a3 t531.a4 t531.a5 t531.a6 t531.a7 t531.a8 t531.a9))
% 27.97/28.16 (step t532 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t533 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t534 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.16 (step t535 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.16 (step t536 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule and_pos)
% 27.97/28.16 (step t537 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t538 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t539 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_pos)
% 27.97/28.16 (step t540 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.16 (step t541 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule and_pos)
% 27.97/28.16 (step t542 (cl (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule resolution :premises (t531 t532 t533 t534 t535 t536 t537 t538 t539 t540 t541))
% 27.97/28.16 (step t543 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule reordering :premises (t542))
% 27.97/28.16 (step t544 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule contraction :premises (t543))
% 27.97/28.16 (step t545 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t530 t544))
% 27.97/28.16 (step t546 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies_neg2)
% 27.97/28.16 (step t547 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t545 t546))
% 27.97/28.16 (step t548 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t547))
% 27.97/28.16 (step t549 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil)) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies :premises (t548))
% 27.97/28.16 (step t550 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t529 t549))
% 27.97/28.16 (step t551 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (tptp.cyclefreeP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.app (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (= (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.nil))) (not (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) (not (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule reordering :premises (t550))
% 27.97/28.16 (step t552 (cl (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule or_pos)
% 27.97/28.16 (step t553 (cl (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule reordering :premises (t552))
% 27.97/28.16 (step t554 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t555)
% 27.97/28.16 (assume t555.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 27.97/28.16 (step t555.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 27.97/28.16 (step t555.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule or :premises (t555.t1))
% 27.97/28.16 (step t555.t3 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t555.t2 t555.a0))
% 27.97/28.16 (step t555 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule subproof :discharge (t555.a0))
% 27.97/28.16 (step t556 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t554 t555))
% 27.97/28.16 (step t557 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t558 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t556 t557))
% 27.97/28.16 (step t559 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule contraction :premises (t558))
% 27.97/28.16 (step t560 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule implies :premises (t559))
% 27.97/28.16 (step t561 (cl (or (not (tptp.ssItem (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t560 a69))
% 27.97/28.16 (step t562 (cl (tptp.cyclefreeP (tptp.cons (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule resolution :premises (t553 t283 t561))
% 27.97/28.16 (step t563 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_neg)
% 27.97/28.16 (step t564 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t565)
% 27.97/28.16 (assume t565.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))
% 27.97/28.16 (assume t565.a1 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.16 (step t565.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t565.t2)
% 27.97/28.16 (assume t565.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))
% 27.97/28.16 (assume t565.t2.a1 (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))
% 27.97/28.16 (step t565.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule equiv_simplify)
% 27.97/28.16 (step t565.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) true)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule equiv1 :premises (t565.t2.t1))
% 27.97/28.16 (step t565.t2.t3 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 27.97/28.16 (step t565.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)) tptp.sk8)) :rule symm :premises (t565.t2.a1))
% 27.97/28.16 (step t565.t2.t5 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule cong :premises (t565.t2.t3 t565.t2.t4))
% 27.97/28.16 (step t565.t2.t6 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t565.t2.t5))
% 27.97/28.16 (step t565.t2.t7 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule equiv_simplify)
% 27.97/28.16 (step t565.t2.t8 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule equiv2 :premises (t565.t2.t7))
% 27.97/28.16 (step t565.t2.t9 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) true)) :rule resolution :premises (t565.t2.t8 t565.t2.a0))
% 27.97/28.16 (step t565.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) true)) :rule trans :premises (t565.t2.t6 t565.t2.t9))
% 27.97/28.16 (step t565.t2.t11 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t565.t2.t2 t565.t2.t10))
% 27.97/28.16 (step t565.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule subproof :discharge (t565.t2.a0 t565.t2.a1))
% 27.97/28.16 (step t565.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and_pos)
% 27.97/28.16 (step t565.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.16 (step t565.t5 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t565.t2 t565.t3 t565.t4))
% 27.97/28.16 (step t565.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule reordering :premises (t565.t5))
% 27.97/28.16 (step t565.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule contraction :premises (t565.t6))
% 27.97/28.16 (step t565.t8 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t565.t1 t565.t7))
% 27.97/28.16 (step t565.t9 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies_neg2)
% 27.97/28.16 (step t565.t10 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t565.t8 t565.t9))
% 27.97/28.16 (step t565.t11 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t565.t10))
% 27.97/28.16 (step t565.t12 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies :premises (t565.t11))
% 27.97/28.16 (step t565.t13 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule and_neg)
% 27.97/28.16 (step t565.t14 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t565.t13 t565.a0 t565.a1))
% 27.97/28.16 (step t565.t15 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t565.t12 t565.t14))
% 27.97/28.16 (step t565 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule subproof :discharge (t565.a0 t565.a1))
% 27.97/28.16 (step t566 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and_pos)
% 27.97/28.16 (step t567 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) :rule and_pos)
% 27.97/28.16 (step t568 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t565 t566 t567))
% 27.97/28.16 (step t569 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule reordering :premises (t568))
% 27.97/28.16 (step t570 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule contraction :premises (t569))
% 27.97/28.16 (step t571 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t564 t570))
% 27.97/28.16 (step t572 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule implies_neg2)
% 27.97/28.16 (step t573 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule resolution :premises (t571 t572))
% 27.97/28.16 (step t574 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))))) :rule contraction :premises (t573))
% 27.97/28.16 (step t575 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule implies :premises (t574))
% 27.97/28.16 (step t576 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))))) :rule resolution :premises (t563 t575))
% 27.97/28.16 (step t577 (cl (not (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))) :rule or_pos)
% 27.97/28.16 (step t578 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))))) :rule reordering :premises (t577))
% 27.97/28.16 (step t579 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))))) :rule equiv_pos2)
% 27.97/28.16 (step t580 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))) :rule refl)
% 27.97/28.16 (step t581 (cl (= (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)))) :rule refl)
% 27.97/28.16 (step t582 (cl (= (= tptp.nil tptp.sk8) (= tptp.nil tptp.sk8))) :rule refl)
% 27.97/28.16 (step t583 (cl (= (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule all_simplify)
% 27.97/28.16 (step t584 (cl (= (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))))) :rule cong :premises (t581 t366 t582 t583))
% 27.97/28.16 (step t585 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))))) :rule cong :premises (t580 t584))
% 27.97/28.16 (step t586 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t587)
% 27.97/28.16 (assume t587.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 27.97/28.16 (step t587.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.sk8)))
% 27.97/28.16 (step t587.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) :rule or :premises (t587.t1))
% 27.97/28.16 (step t587.t3 (cl (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) :rule resolution :premises (t587.t2 t587.a0))
% 27.97/28.16 (step t587 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) :rule subproof :discharge (t587.a0))
% 27.97/28.16 (step t588 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) :rule resolution :premises (t586 t587))
% 27.97/28.16 (step t589 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) (not (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))))) :rule implies_neg2)
% 27.97/28.16 (step t590 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))))) :rule resolution :premises (t588 t589))
% 27.97/28.16 (step t591 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd (tptp.app tptp.sk8 tptp.sk7)) (tptp.hd tptp.sk8))))) :rule contraction :premises (t590))
% 27.97/28.16 (step t592 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7)))))) :rule resolution :premises (t579 t585 t591))
% 27.97/28.16 (step t593 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule implies :premises (t592))
% 27.97/28.16 (step t594 (cl (or (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= (tptp.hd tptp.sk8) (tptp.hd (tptp.app tptp.sk8 tptp.sk7))))) :rule resolution :premises (t593 a122))
% 27.97/28.16 (step t595 (cl (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (= tptp.nil tptp.sk8)) :rule resolution :premises (t327 t329 t108 t344 t116 t153 a193 t360 t379 t390 t88 t415 t429 t440 t467 t478 t496 t514 t379 t528 t390 t325 t551 t429 t562 t467 t478 t496 t514 t528 t325 t576 t88 t578 t594 a195 a194))
% 27.97/28.16 (step t596 (cl (not (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8)))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil tptp.sk8)) :rule contraction :premises (t595))
% 27.97/28.16 (step t597 (cl (not (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8)) :rule or_pos)
% 27.97/28.16 (step t598 (cl (not (tptp.ssList tptp.sk8)) (= tptp.nil tptp.sk8) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (not (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8)))) :rule reordering :premises (t597))
% 27.97/28.16 (step t599 (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.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t600)
% 27.97/28.16 (assume t600.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 27.97/28.16 (step t600.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk8)))
% 27.97/28.16 (step t600.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) :rule or :premises (t600.t1))
% 27.97/28.16 (step t600.t3 (cl (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) :rule resolution :premises (t600.t2 t600.a0))
% 27.97/28.16 (step t600 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) :rule subproof :discharge (t600.a0))
% 27.97/28.16 (step t601 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) :rule resolution :premises (t599 t600))
% 27.97/28.16 (step t602 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) (not (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8)))) :rule implies_neg2)
% 27.97/28.16 (step t603 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8)))) :rule resolution :premises (t601 t602))
% 27.97/28.16 (step t604 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8)))) :rule contraction :premises (t603))
% 27.97/28.16 (step t605 (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.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) :rule implies :premises (t604))
% 27.97/28.16 (step t606 (cl (or (not (tptp.ssList tptp.sk8)) (= tptp.sk8 (tptp.cons (tptp.skaf83 tptp.sk8) (tptp.skaf82 tptp.sk8))) (= tptp.nil tptp.sk8))) :rule resolution :premises (t605 t526))
% 27.97/28.16 (step t607 (cl (not (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule or_pos)
% 27.97/28.16 (step t608 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule reordering :premises (t607))
% 27.97/28.16 (step t609 (cl (not (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))) :rule or_pos)
% 27.97/28.16 (step t610 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.memberP tptp.nil tptp.sk6)) (not (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule reordering :premises (t609))
% 27.97/28.16 (step t611 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t612)
% 27.97/28.16 (assume t612.a0 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 27.97/28.16 (step t612.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule forall_inst :args ((:= U tptp.sk6)))
% 27.97/28.16 (step t612.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule or :premises (t612.t1))
% 27.97/28.16 (step t612.t3 (cl (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t612.t2 t612.a0))
% 27.97/28.16 (step t612 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule subproof :discharge (t612.a0))
% 27.97/28.16 (step t613 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t611 t612))
% 27.97/28.16 (step t614 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (not (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule implies_neg2)
% 27.97/28.16 (step t615 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule resolution :premises (t613 t614))
% 27.97/28.16 (step t616 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6))))) :rule contraction :premises (t615))
% 27.97/28.16 (step t617 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule implies :premises (t616))
% 27.97/28.16 (step t618 (cl (not (= (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule equiv_pos2)
% 27.97/28.16 (step t619 (cl (= (forall ((U $$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)
% 27.97/28.16 (step t620 (cl (= (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)))) :rule refl)
% 27.97/28.16 (step t621 (cl (= (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule refl)
% 27.97/28.16 (step t622 (cl (= (tptp.memberP tptp.nil tptp.sk6) (tptp.memberP tptp.nil tptp.sk6))) :rule refl)
% 27.97/28.16 (step t623 (cl (= (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule all_simplify)
% 27.97/28.16 (step t624 (cl (= (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule cong :premises (t620 t501 t621 t365 t622 t623))
% 27.97/28.16 (step t625 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule cong :premises (t619 t624))
% 27.97/28.16 (step t626 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t627)
% 27.97/28.16 (assume t627.a0 (forall ((U $$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))))
% 27.97/28.16 (step t627.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V tptp.nil) (:= W tptp.sk6)))
% 27.97/28.16 (step t627.t2 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) :rule or :premises (t627.t1))
% 27.97/28.16 (step t627.t3 (cl (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) :rule resolution :premises (t627.t2 t627.a0))
% 27.97/28.16 (step t627 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) :rule subproof :discharge (t627.a0))
% 27.97/28.16 (step t628 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) :rule resolution :premises (t626 t627))
% 27.97/28.16 (step t629 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) (not (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)))) :rule implies_neg2)
% 27.97/28.16 (step t630 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)))) :rule resolution :premises (t628 t629))
% 27.97/28.16 (step t631 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)))) :rule contraction :premises (t630))
% 27.97/28.16 (step t632 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule resolution :premises (t618 t625 t631))
% 27.97/28.16 (step t633 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies :premises (t632))
% 27.97/28.16 (step t634 (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)
% 27.97/28.16 (anchor :step t635 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 27.97/28.16 (step t635.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t635.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t635.t3 (cl (= W W)) :rule refl)
% 27.97/28.16 (step t635.t4 (cl (= (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.memberP (tptp.cons U V) W)))) :rule refl)
% 27.97/28.16 (step t635.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.97/28.16 (step t635.t6 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 27.97/28.16 (step t635.t7 (cl (= (not (tptp.ssItem W)) (not (tptp.ssItem W)))) :rule refl)
% 27.97/28.16 (step t635.t8 (cl (= (tptp.memberP V W) (tptp.memberP V W))) :rule refl)
% 27.97/28.16 (step t635.t9 (cl (= (= W U) (= U W))) :rule all_simplify)
% 27.97/28.16 (step t635.t10 (cl (= (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule cong :premises (t635.t4 t635.t5 t635.t6 t635.t7 t635.t8 t635.t9))
% 27.97/28.16 (step t635 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))))) :rule bind)
% 27.97/28.16 (step t636 (cl (forall ((U $$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 (t634 t635 a160))
% 27.97/28.16 (step t637 (cl (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule and_neg)
% 27.97/28.16 (step t638 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t639)
% 27.97/28.16 (assume t639.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.16 (assume t639.a1 (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))
% 27.97/28.16 (step t639.t1 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t639.t2)
% 27.97/28.16 (assume t639.t2.a0 (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))
% 27.97/28.16 (assume t639.t2.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.16 (step t639.t2.t1 (cl (= (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6) true) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule equiv_simplify)
% 27.97/28.16 (step t639.t2.t2 (cl (not (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6) true)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule equiv1 :premises (t639.t2.t1))
% 27.97/28.16 (step t639.t2.t3 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t639.t2.a1))
% 27.97/28.16 (step t639.t2.t4 (cl (= tptp.sk6 tptp.sk6)) :rule refl)
% 27.97/28.16 (step t639.t2.t5 (cl (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule cong :premises (t639.t2.t3 t639.t2.t4))
% 27.97/28.16 (step t639.t2.t6 (cl (= (= (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) true) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule equiv_simplify)
% 27.97/28.16 (step t639.t2.t7 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) true) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule equiv2 :premises (t639.t2.t6))
% 27.97/28.16 (step t639.t2.t8 (cl (= (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) true)) :rule resolution :premises (t639.t2.t7 t639.t2.a0))
% 27.97/28.16 (step t639.t2.t9 (cl (= (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6) true)) :rule trans :premises (t639.t2.t5 t639.t2.t8))
% 27.97/28.16 (step t639.t2.t10 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule resolution :premises (t639.t2.t2 t639.t2.t9))
% 27.97/28.16 (step t639.t2 (cl (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule subproof :discharge (t639.t2.a0 t639.t2.a1))
% 27.97/28.16 (step t639.t3 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) :rule and_pos)
% 27.97/28.16 (step t639.t4 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t639.t5 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t639.t2 t639.t3 t639.t4))
% 27.97/28.16 (step t639.t6 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule reordering :premises (t639.t5))
% 27.97/28.16 (step t639.t7 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule contraction :premises (t639.t6))
% 27.97/28.16 (step t639.t8 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule resolution :premises (t639.t1 t639.t7))
% 27.97/28.16 (step t639.t9 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule implies_neg2)
% 27.97/28.16 (step t639.t10 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule resolution :premises (t639.t8 t639.t9))
% 27.97/28.16 (step t639.t11 (cl (=> (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule contraction :premises (t639.t10))
% 27.97/28.16 (step t639.t12 (cl (not (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule implies :premises (t639.t11))
% 27.97/28.16 (step t639.t13 (cl (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule and_neg)
% 27.97/28.16 (step t639.t14 (cl (and (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t639.t13 t639.a1 t639.a0))
% 27.97/28.16 (step t639.t15 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule resolution :premises (t639.t12 t639.t14))
% 27.97/28.16 (step t639 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule subproof :discharge (t639.a0 t639.a1))
% 27.97/28.16 (step t640 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t641 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) :rule and_pos)
% 27.97/28.16 (step t642 (cl (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)))) :rule resolution :premises (t639 t640 t641))
% 27.97/28.16 (step t643 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule reordering :premises (t642))
% 27.97/28.16 (step t644 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule contraction :premises (t643))
% 27.97/28.16 (step t645 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule resolution :premises (t638 t644))
% 27.97/28.16 (step t646 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule implies_neg2)
% 27.97/28.16 (step t647 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule resolution :premises (t645 t646))
% 27.97/28.16 (step t648 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6))) :rule contraction :premises (t647))
% 27.97/28.16 (step t649 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule implies :premises (t648))
% 27.97/28.16 (step t650 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule resolution :premises (t637 t649))
% 27.97/28.16 (step t651 (cl (not (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) :rule reordering :premises (t650))
% 27.97/28.16 (step t652 (cl (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) :rule or_pos)
% 27.97/28.16 (step t653 (cl (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)))) :rule reordering :premises (t652))
% 27.97/28.16 (step t654 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule or_pos)
% 27.97/28.16 (step t655 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule reordering :premises (t654))
% 27.97/28.16 (step t656 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (forall ((U $$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)
% 27.97/28.16 (anchor :step t657)
% 27.97/28.16 (assume t657.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))
% 27.97/28.16 (step t657.t1 (cl (or (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk6) (:= W tptp.nil)))
% 27.97/28.16 (step t657.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule or :premises (t657.t1))
% 27.97/28.16 (step t657.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule resolution :premises (t657.t2 t657.a0))
% 27.97/28.16 (step t657 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule subproof :discharge (t657.a0))
% 27.97/28.16 (step t658 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule resolution :premises (t656 t657))
% 27.97/28.16 (step t659 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule implies_neg2)
% 27.97/28.16 (step t660 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule resolution :premises (t658 t659))
% 27.97/28.16 (step t661 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)))) :rule contraction :premises (t660))
% 27.97/28.16 (step t662 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule implies :premises (t661))
% 27.97/28.16 (step t663 (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)
% 27.97/28.16 (anchor :step t664 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 27.97/28.16 (step t664.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t664.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t664.t3 (cl (= W W)) :rule refl)
% 27.97/28.16 (step t664.t4 (cl (= X X)) :rule refl)
% 27.97/28.16 (step t664.t5 (cl (= (= (tptp.app U (tptp.cons V W)) X) (= X (tptp.app U (tptp.cons V W))))) :rule all_simplify)
% 27.97/28.16 (step t664.t6 (cl (= (not (= (tptp.app U (tptp.cons V W)) X)) (not (= X (tptp.app U (tptp.cons V W)))))) :rule cong :premises (t664.t5))
% 27.97/28.16 (step t664.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.97/28.16 (step t664.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t664.t9 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.97/28.16 (step t664.t10 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.97/28.16 (step t664.t11 (cl (= (tptp.memberP X V) (tptp.memberP X V))) :rule refl)
% 27.97/28.16 (step t664.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 (t664.t6 t664.t7 t664.t8 t664.t9 t664.t10 t664.t11))
% 27.97/28.16 (step t664 (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)
% 27.97/28.16 (step t665 (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 $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule all_simplify)
% 27.97/28.16 (anchor :step t666 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 27.97/28.16 (step t666.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t666.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t666.t3 (cl (= W W)) :rule refl)
% 27.97/28.16 (step t666.t4 (cl (= (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W))) true)) :rule all_simplify)
% 27.97/28.16 (step t666.t5 (cl (= (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) (not true))) :rule cong :premises (t666.t4))
% 27.97/28.16 (step t666.t6 (cl (= (not true) false)) :rule all_simplify)
% 27.97/28.16 (step t666.t7 (cl (= (not (= (tptp.app U (tptp.cons V W)) (tptp.app U (tptp.cons V W)))) false)) :rule trans :premises (t666.t5 t666.t6))
% 27.97/28.16 (step t666.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.97/28.16 (step t666.t9 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t666.t10 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 27.97/28.16 (step t666.t11 (cl (= (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (not (tptp.ssList (tptp.app U (tptp.cons V W)))))) :rule refl)
% 27.97/28.16 (step t666.t12 (cl (= (tptp.memberP (tptp.app U (tptp.cons V W)) V) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) :rule refl)
% 27.97/28.16 (step t666.t13 (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 (t666.t7 t666.t8 t666.t9 t666.t10 t666.t11 t666.t12))
% 27.97/28.16 (step t666.t14 (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)
% 27.97/28.16 (step t666.t15 (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 (t666.t13 t666.t14))
% 27.97/28.16 (step t666 (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)
% 27.97/28.16 (step t667 (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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))) :rule trans :premises (t665 t666))
% 27.97/28.16 (step t668 (cl (= (forall ((U $$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 (t664 t667))
% 27.97/28.16 (step t669 (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 (t663 t668 a174))
% 27.97/28.16 (step t670 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8) (= tptp.nil tptp.sk8) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk6)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t596 t598 t606 a195 t608 t610 t617 a70 t301 a46 t633 t636 t651 t653 a195 t655 t662 t669))
% 27.97/28.16 (step t671 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t670))
% 27.97/28.16 (step t672 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule resolution :premises (t671 t253 t260 t216 t223))
% 27.97/28.16 (step t673 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule contraction :premises (t672))
% 27.97/28.16 (step t674 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t675)
% 27.97/28.16 (assume t675.a0 (forall ((U $$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))))
% 27.97/28.16 (step t675.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk6) (:= W tptp.sk8)))
% 27.97/28.16 (step t675.t2 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule or :premises (t675.t1))
% 27.97/28.16 (step t675.t3 (cl (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule resolution :premises (t675.t2 t675.a0))
% 27.97/28.16 (step t675 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule subproof :discharge (t675.a0))
% 27.97/28.16 (step t676 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule resolution :premises (t674 t675))
% 27.97/28.16 (step t677 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (not (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)))) :rule implies_neg2)
% 27.97/28.16 (step t678 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)))) :rule resolution :premises (t676 t677))
% 27.97/28.16 (step t679 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)))) :rule contraction :premises (t678))
% 27.97/28.16 (step t680 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule implies :premises (t679))
% 27.97/28.16 (step t681 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (tptp.ssList tptp.nil)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule resolution :premises (t673 t133 a194 t151 t135 a192 t142 t680 a139))
% 27.97/28.16 (step t682 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) :rule contraction :premises (t681))
% 27.97/28.16 (step t683 (cl (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8)) :rule resolution :premises (t682 a193 a84 a7 a85))
% 27.97/28.16 (step t684 (cl (= tptp.nil tptp.sk8) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (tptp.leq (tptp.hd tptp.sk8) (tptp.hd tptp.sk8)))) :rule reordering :premises (t683))
% 27.97/28.16 (step t685 (cl (not (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8)) :rule or_pos)
% 27.97/28.16 (step t686 (cl (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8) (not (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8)))) :rule reordering :premises (t685))
% 27.97/28.16 (step t687 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t688)
% 27.97/28.16 (assume t688.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 27.97/28.16 (step t688.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk8)))
% 27.97/28.16 (step t688.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) :rule or :premises (t688.t1))
% 27.97/28.16 (step t688.t3 (cl (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) :rule resolution :premises (t688.t2 t688.a0))
% 27.97/28.16 (step t688 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) :rule subproof :discharge (t688.a0))
% 27.97/28.16 (step t689 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) :rule resolution :premises (t687 t688))
% 27.97/28.16 (step t690 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) (not (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8)))) :rule implies_neg2)
% 27.97/28.16 (step t691 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8)))) :rule resolution :premises (t689 t690))
% 27.97/28.16 (step t692 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8)))) :rule contraction :premises (t691))
% 27.97/28.16 (step t693 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) :rule implies :premises (t692))
% 27.97/28.16 (step t694 (cl (or (not (tptp.ssList tptp.sk8)) (tptp.ssItem (tptp.hd tptp.sk8)) (= tptp.nil tptp.sk8))) :rule resolution :premises (t693 a75))
% 27.97/28.16 (step t695 (cl (= tptp.nil tptp.sk8) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (= tptp.nil tptp.sk8)) :rule resolution :premises (t90 t98 t684 t686 t694 a195))
% 27.97/28.16 (step t696 (cl (= tptp.nil tptp.sk8) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule contraction :premises (t695))
% 27.97/28.16 (step t697 (cl (not (= (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))))) (not (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule equiv_pos2)
% 27.97/28.16 (step t698 (cl (= (not (= tptp.nil tptp.sk8)) (not (= tptp.nil tptp.sk8)))) :rule refl)
% 27.97/28.16 (step t699 (cl (= (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule refl)
% 27.97/28.16 (step t700 (cl (= (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule refl)
% 27.97/28.16 (step t701 (cl (= (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 27.97/28.16 (step t702 (cl (= (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule refl)
% 27.97/28.16 (step t703 (cl (= (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule refl)
% 27.97/28.16 (step t704 (cl (= (= (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) true) (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) :rule equiv_simplify)
% 27.97/28.16 (step t705 (cl (not (= (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) true)) (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule equiv1 :premises (t704))
% 27.97/28.16 (step t706 (cl (= (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))))) :rule all_simplify)
% 27.97/28.16 (step t707 (cl (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule refl)
% 27.97/28.16 (step t708 (cl (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule all_simplify)
% 27.97/28.16 (step t709 (cl (= (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) :rule cong :premises (t707 t708))
% 27.97/28.16 (step t710 (cl (= (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) true)) :rule all_simplify)
% 27.97/28.16 (step t711 (cl (= (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) true)) :rule trans :premises (t709 t710))
% 27.97/28.16 (step t712 (cl (= (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) true)) :rule trans :premises (t706 t711))
% 27.97/28.16 (step t713 (cl (= (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule resolution :premises (t705 t712))
% 27.97/28.16 (step t714 (cl (= (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule refl)
% 27.97/28.16 (step t715 (cl (= (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule refl)
% 27.97/28.16 (step t716 (cl (= (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))))) :rule cong :premises (t698 t699 t700 t701 t702 t703 t713 t714 t715))
% 27.97/28.16 (step t717 (cl (not (= (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))))) (not (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule equiv_pos2)
% 27.97/28.16 (step t718 (cl (= (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule refl)
% 27.97/28.16 (step t719 (cl (= (= (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))))) :rule equiv_simplify)
% 27.97/28.16 (step t720 (cl (= (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (not (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))))) :rule equiv2 :premises (t719))
% 27.97/28.16 (step t721 (cl (not (not (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule not_not)
% 27.97/28.16 (step t722 (cl (= (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule resolution :premises (t720 t721))
% 27.97/28.16 (step t723 (cl (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t724)
% 27.97/28.16 (assume t724.a0 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 27.97/28.16 (assume t724.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.16 (assume t724.a2 (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.16 (assume t724.a3 (= tptp.nil tptp.sk8))
% 27.97/28.16 (assume t724.a4 (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))
% 27.97/28.16 (assume t724.a5 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 27.97/28.16 (assume t724.a6 (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))
% 27.97/28.16 (assume t724.a7 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))
% 27.97/28.16 (assume t724.a8 (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))
% 27.97/28.16 (step t724.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 27.97/28.16 (step t724.t2 (cl (= (= true false) false)) :rule all_simplify)
% 27.97/28.16 (step t724.t3 (cl (= (= (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) true) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule equiv_simplify)
% 27.97/28.16 (step t724.t4 (cl (= (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) true) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule equiv2 :premises (t724.t3))
% 27.97/28.16 (step t724.t5 (cl (= (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) true)) :rule resolution :premises (t724.t4 t724.a6))
% 27.97/28.16 (step t724.t6 (cl (= true (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule symm :premises (t724.t5))
% 27.97/28.16 (step t724.t7 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t724.a0))
% 27.97/28.16 (step t724.t8 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule symm :premises (t724.t7))
% 27.97/28.16 (step t724.t9 (cl (= tptp.sk8 tptp.nil)) :rule symm :premises (t724.a3))
% 27.97/28.16 (step t724.t10 (cl (= tptp.nil tptp.sk8)) :rule symm :premises (t724.t9))
% 27.97/28.16 (step t724.t11 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil) (tptp.app (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) tptp.sk8))) :rule cong :premises (t724.a7 t724.t10))
% 27.97/28.16 (step t724.t12 (cl (= (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t724.a7))
% 27.97/28.16 (step t724.t13 (cl (= tptp.sk8 tptp.sk8)) :rule refl)
% 27.97/28.16 (step t724.t14 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) tptp.sk8) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule cong :premises (t724.t12 t724.t13))
% 27.97/28.16 (step t724.t15 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule trans :premises (t724.t8 t724.t11 t724.t14))
% 27.97/28.16 (step t724.t16 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t724.a1))
% 27.97/28.16 (step t724.t17 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule symm :premises (t724.t16))
% 27.97/28.16 (step t724.t18 (cl (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule refl)
% 27.97/28.16 (step t724.t19 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule cong :premises (t724.t18 t724.a5))
% 27.97/28.16 (step t724.t20 (cl (= (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.sk6)) :rule symm :premises (t724.a2))
% 27.97/28.16 (step t724.t21 (cl (= (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)) tptp.nil)) :rule symm :premises (t724.a5))
% 27.97/28.16 (step t724.t22 (cl (= (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t724.t20 t724.t21))
% 27.97/28.16 (step t724.t23 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) :rule trans :premises (t724.t17 t724.t19 t724.t22 t724.a8))
% 27.97/28.16 (step t724.t24 (cl (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule symm :premises (t724.a8))
% 27.97/28.16 (step t724.t25 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule trans :premises (t724.t15 t724.t23 t724.t24))
% 27.97/28.16 (step t724.t26 (cl (= tptp.sk5 tptp.sk5)) :rule refl)
% 27.97/28.16 (step t724.t27 (cl (= (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule cong :premises (t724.t25 t724.t26))
% 27.97/28.16 (step t724.t28 (cl (= (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) false) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) :rule equiv_simplify)
% 27.97/28.16 (step t724.t29 (cl (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) false) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) :rule equiv2 :premises (t724.t28))
% 27.97/28.16 (step t724.t30 (cl (not (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) :rule not_not)
% 27.97/28.16 (step t724.t31 (cl (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) false) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) :rule resolution :premises (t724.t29 t724.t30))
% 27.97/28.16 (step t724.t32 (cl (= (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) false)) :rule resolution :premises (t724.t31 t724.a4))
% 27.97/28.16 (step t724.t33 (cl (= true false)) :rule trans :premises (t724.t6 t724.t27 t724.t32))
% 27.97/28.16 (step t724.t34 (cl false) :rule resolution :premises (t724.t1 t724.t2 t724.t33))
% 27.97/28.16 (step t724 (cl (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.nil tptp.sk8)) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) :rule subproof :discharge (t724.a0 t724.a1 t724.a2 t724.a3 t724.a4 t724.a5 t724.a6 t724.a7 t724.a8))
% 27.97/28.16 (step t725 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t726 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t727 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 27.97/28.16 (step t728 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (= tptp.nil tptp.sk8)) :rule and_pos)
% 27.97/28.16 (step t729 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule and_pos)
% 27.97/28.16 (step t730 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) 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)
% 27.97/28.16 (step t731 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) :rule and_pos)
% 27.97/28.16 (step t732 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 27.97/28.16 (step t733 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t734 (cl false (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule resolution :premises (t724 t725 t726 t727 t728 t729 t730 t731 t732 t733))
% 27.97/28.16 (step t735 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) false) :rule reordering :premises (t734))
% 27.97/28.16 (step t736 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) false) :rule contraction :premises (t735))
% 27.97/28.16 (step t737 (cl (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) false) :rule resolution :premises (t723 t736))
% 27.97/28.16 (step t738 (cl (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (not false)) :rule implies_neg2)
% 27.97/28.16 (step t739 (cl (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false)) :rule resolution :premises (t737 t738))
% 27.97/28.16 (step t740 (cl (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false)) :rule contraction :premises (t739))
% 27.97/28.16 (step t741 (cl (= (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))))) :rule implies_simplify)
% 27.97/28.16 (step t742 (cl (not (=> (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false)) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule equiv1 :premises (t741))
% 27.97/28.16 (step t743 (cl (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule resolution :premises (t740 t742))
% 27.97/28.16 (step t744 (cl (= (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) false)) :rule resolution :premises (t722 t743))
% 27.97/28.16 (step t745 (cl (= (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) false))) :rule cong :premises (t718 t744))
% 27.97/28.16 (step t746 (cl (= (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) false) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))))) :rule all_simplify)
% 27.97/28.16 (step t747 (cl (= (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))))) :rule trans :premises (t745 t746))
% 27.97/28.16 (step t748 (cl (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t749)
% 27.97/28.16 (assume t749.a0 (= tptp.nil tptp.sk8))
% 27.97/28.16 (assume t749.a1 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 27.97/28.16 (assume t749.a2 (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))
% 27.97/28.16 (assume t749.a3 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))
% 27.97/28.16 (assume t749.a4 (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))
% 27.97/28.16 (assume t749.a5 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 27.97/28.16 (assume t749.a6 (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))
% 27.97/28.16 (assume t749.a7 (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.16 (assume t749.a8 (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))
% 27.97/28.16 (step t749.t1 (cl (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.nil tptp.sk8)) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule and_neg)
% 27.97/28.16 (step t749.t2 (cl (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule resolution :premises (t749.t1 t749.a8 t749.a1 t749.a7 t749.a0 t749.a6 t749.a5 t749.a4 t749.a3 t749.a2))
% 27.97/28.16 (step t749 (cl (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule subproof :discharge (t749.a0 t749.a1 t749.a2 t749.a3 t749.a4 t749.a5 t749.a6 t749.a7 t749.a8))
% 27.97/28.16 (step t750 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= tptp.nil tptp.sk8)) :rule and_pos)
% 27.97/28.16 (step t751 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t752 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t753 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 27.97/28.16 (step t754 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) :rule and_pos)
% 27.97/28.16 (step t755 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) 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)
% 27.97/28.16 (step t756 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule and_pos)
% 27.97/28.16 (step t757 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule and_pos)
% 27.97/28.16 (step t758 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule and_pos)
% 27.97/28.16 (step t759 (cl (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t749 t750 t751 t752 t753 t754 t755 t756 t757 t758))
% 27.97/28.16 (step t760 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule reordering :premises (t759))
% 27.97/28.16 (step t761 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule contraction :premises (t760))
% 27.97/28.16 (step t762 (cl (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule resolution :premises (t748 t761))
% 27.97/28.16 (step t763 (cl (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t764 (cl (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule resolution :premises (t762 t763))
% 27.97/28.16 (step t765 (cl (=> (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) (and (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil tptp.sk8) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule contraction :premises (t764))
% 27.97/28.16 (step t766 (cl (not (and (= tptp.nil tptp.sk8) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t717 t747 t765))
% 27.97/28.16 (step t767 (cl (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule not_and :premises (t766))
% 27.97/28.16 (step t768 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= tptp.nil tptp.sk8)))) :rule or_neg)
% 27.97/28.16 (step t769 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule or_neg)
% 27.97/28.16 (step t770 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule or_neg)
% 27.97/28.16 (step t771 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 27.97/28.16 (step t772 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule or_neg)
% 27.97/28.16 (step t773 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule or_neg)
% 27.97/28.16 (step t774 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))))) :rule or_neg)
% 27.97/28.16 (step t775 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))) :rule or_neg)
% 27.97/28.16 (step t776 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule or_neg)
% 27.97/28.16 (step t777 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t767 t768 t769 t770 t771 t772 t773 t774 t775 t776))
% 27.97/28.16 (step t778 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule contraction :premises (t777))
% 27.97/28.16 (step t779 (cl (or (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t697 t716 t778))
% 27.97/28.16 (step t780 (cl (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule or :premises (t779))
% 27.97/28.16 (step t781 (cl (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5) (not (= tptp.nil tptp.sk8)) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 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.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule reordering :premises (t780))
% 27.97/28.16 (step t782 (cl (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule or_pos)
% 27.97/28.16 (step t783 (cl (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule reordering :premises (t782))
% 27.97/28.16 (step t784 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t785)
% 27.97/28.16 (assume t785.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 27.97/28.16 (step t785.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 27.97/28.16 (step t785.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule or :premises (t785.t1))
% 27.97/28.16 (step t785.t3 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule resolution :premises (t785.t2 t785.a0))
% 27.97/28.16 (step t785 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule subproof :discharge (t785.a0))
% 27.97/28.16 (step t786 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule resolution :premises (t784 t785))
% 27.97/28.16 (step t787 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (not (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t788 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule resolution :premises (t786 t787))
% 27.97/28.16 (step t789 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))))) :rule contraction :premises (t788))
% 27.97/28.16 (step t790 (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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule implies :premises (t789))
% 27.97/28.16 (step t791 (cl (or (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)))) :rule resolution :premises (t790 t323))
% 27.97/28.16 (step t792 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.nil))) :rule resolution :premises (t783 t262 t791))
% 27.97/28.16 (step t793 (cl (not (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6))) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6)) :rule or_pos)
% 27.97/28.16 (step t794 (cl (= tptp.sk5 tptp.sk6) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk5) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6)))) :rule reordering :premises (t793))
% 27.97/28.16 (step t795 (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)
% 27.97/28.16 (step t796 (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 (t795))
% 27.97/28.16 (step t797 (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 $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t798)
% 27.97/28.16 (assume t798.a0 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 27.97/28.16 (step t798.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule forall_inst :args ((:= U tptp.sk5)))
% 27.97/28.16 (step t798.t2 (cl (not (forall ((U $$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 (t798.t1))
% 27.97/28.16 (step t798.t3 (cl (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t798.t2 t798.a0))
% 27.97/28.16 (step t798 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule subproof :discharge (t798.a0))
% 27.97/28.16 (step t799 (cl (=> (forall ((U $$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 (t797 t798))
% 27.97/28.16 (step t800 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) (not (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule implies_neg2)
% 27.97/28.16 (step t801 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5))))) :rule resolution :premises (t799 t800))
% 27.97/28.16 (step t802 (cl (=> (forall ((U $$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 (t801))
% 27.97/28.16 (step t803 (cl (not (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U))))) (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule implies :premises (t802))
% 27.97/28.16 (step t804 (cl (or (not (tptp.memberP tptp.nil tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule resolution :premises (t803 a70))
% 27.97/28.16 (step t805 (cl (not (tptp.memberP tptp.nil tptp.sk5))) :rule resolution :premises (t796 a192 t804))
% 27.97/28.16 (step t806 (cl (not (= (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6))))) (not (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6)))) :rule equiv_pos2)
% 27.97/28.16 (step t807 (cl (= (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)))) :rule refl)
% 27.97/28.16 (step t808 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 27.97/28.16 (step t809 (cl (= (tptp.memberP tptp.nil tptp.sk5) (tptp.memberP tptp.nil tptp.sk5))) :rule refl)
% 27.97/28.16 (step t810 (cl (= (= tptp.sk6 tptp.sk5) (= tptp.sk5 tptp.sk6))) :rule all_simplify)
% 27.97/28.16 (step t811 (cl (= (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5)) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6)))) :rule cong :premises (t807 t501 t365 t808 t809 t810))
% 27.97/28.16 (step t812 (cl (= (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6))))) :rule cong :premises (t619 t811))
% 27.97/28.16 (step t813 (cl (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t814)
% 27.97/28.16 (assume t814.a0 (forall ((U $$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))))
% 27.97/28.16 (step t814.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil) (:= W tptp.sk5)))
% 27.97/28.16 (step t814.t2 (cl (not (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) :rule or :premises (t814.t1))
% 27.97/28.16 (step t814.t3 (cl (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t814.t2 t814.a0))
% 27.97/28.16 (step t814 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W)))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) :rule subproof :discharge (t814.a0))
% 27.97/28.16 (step t815 (cl (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t813 t814))
% 27.97/28.16 (step t816 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) (not (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5)))) :rule implies_neg2)
% 27.97/28.16 (step t817 (cl (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5)))) :rule resolution :premises (t815 t816))
% 27.97/28.16 (step t818 (cl (=> (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk6 tptp.sk5)))) :rule contraction :premises (t817))
% 27.97/28.16 (step t819 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= U W))) (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t806 t812 t818))
% 27.97/28.16 (step t820 (cl (not (forall ((U $$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.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6))) :rule implies :premises (t819))
% 27.97/28.16 (step t821 (cl (or (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.memberP tptp.nil tptp.sk5) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t820 t636))
% 27.97/28.16 (step t822 (cl (not (tptp.memberP (tptp.cons tptp.sk6 tptp.nil) tptp.sk5))) :rule resolution :premises (t794 a197 a7 a192 a193 t805 t821))
% 27.97/28.16 (step t823 (cl (not (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) :rule or_pos)
% 27.97/28.16 (step t824 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5) (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule reordering :premises (t823))
% 27.97/28.16 (step t825 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) :rule or_pos)
% 27.97/28.16 (step t826 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule reordering :premises (t825))
% 27.97/28.16 (step t827 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (forall ((U $$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)
% 27.97/28.16 (anchor :step t828)
% 27.97/28.16 (assume t828.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))))
% 27.97/28.16 (step t828.t1 (cl (or (not (forall ((U $$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.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.sk5) (:= W tptp.nil)))
% 27.97/28.16 (step t828.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule or :premises (t828.t1))
% 27.97/28.16 (step t828.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule resolution :premises (t828.t2 t828.a0))
% 27.97/28.16 (step t828 (cl (not (forall ((U $$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.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule subproof :discharge (t828.a0))
% 27.97/28.16 (step t829 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule resolution :premises (t827 t828))
% 27.97/28.16 (step t830 (cl (=> (forall ((U $$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.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule implies_neg2)
% 27.97/28.16 (step t831 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) (=> (forall ((U $$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.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule resolution :premises (t829 t830))
% 27.97/28.16 (step t832 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList (tptp.app U (tptp.cons V W)))) (tptp.memberP (tptp.app U (tptp.cons V W)) V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)))) :rule contraction :premises (t831))
% 27.97/28.16 (step t833 (cl (not (forall ((U $$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.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule implies :premises (t832))
% 27.97/28.16 (step t834 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5))) :rule resolution :premises (t833 t669))
% 27.97/28.16 (step t835 (cl (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) :rule resolution :premises (t826 a7 a192 a194 t153 t834))
% 27.97/28.16 (step t836 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) (forall ((U $$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)
% 27.97/28.16 (anchor :step t837)
% 27.97/28.16 (assume t837.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 27.97/28.16 (step t837.t1 (cl (or (not (forall ((U $$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.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk5) (:= W (tptp.cons tptp.sk6 tptp.nil))))
% 27.97/28.16 (step t837.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V)))) (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule or :premises (t837.t1))
% 27.97/28.16 (step t837.t3 (cl (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule resolution :premises (t837.t2 t837.a0))
% 27.97/28.16 (step t837 (cl (not (forall ((U $$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.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule subproof :discharge (t837.a0))
% 27.97/28.16 (step t838 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule resolution :premises (t836 t837))
% 27.97/28.16 (step t839 (cl (=> (forall ((U $$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.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) (not (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule implies_neg2)
% 27.97/28.16 (step t840 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) (=> (forall ((U $$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.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule resolution :premises (t838 t839))
% 27.97/28.16 (step t841 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)))) :rule contraction :premises (t840))
% 27.97/28.16 (step t842 (cl (not (forall ((U $$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.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule implies :premises (t841))
% 27.97/28.16 (step t843 (cl (or (not (tptp.memberP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk5)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk5)) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5))) :rule resolution :premises (t842 a139))
% 27.97/28.16 (step t844 (cl (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk5)) :rule resolution :premises (t824 a192 t225 t153 t835 t843))
% 27.97/28.16 (step t845 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 27.97/28.16 (step t846 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t845))
% 27.97/28.16 (step t847 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) (forall ((U $$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)))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t848)
% 27.97/28.16 (assume t848.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 27.97/28.16 (step t848.t1 (cl (or (not (forall ((U $$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)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.cons tptp.sk5 tptp.nil)) (:= W tptp.sk7)))
% 27.97/28.16 (step t848.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or :premises (t848.t1))
% 27.97/28.16 (step t848.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t848.t2 t848.a0))
% 27.97/28.16 (step t848 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) :rule subproof :discharge (t848.a0))
% 27.97/28.16 (step t849 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t847 t848))
% 27.97/28.16 (step t850 (cl (=> (forall ((U $$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))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_neg2)
% 27.97/28.16 (step t851 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) (=> (forall ((U $$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))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t849 t850))
% 27.97/28.16 (step t852 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t851))
% 27.97/28.16 (step t853 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t852))
% 27.97/28.16 (step t854 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t853 a148))
% 27.97/28.16 (step t855 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t846 a194 t144 t225 t854))
% 27.97/28.16 (step t856 (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)
% 27.97/28.16 (step t857 (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 (t856))
% 27.97/28.16 (step t858 (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 (t857))
% 27.97/28.16 (step t859 (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)
% 27.97/28.16 (step t860 (cl (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule all_simplify)
% 27.97/28.16 (step t861 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 27.97/28.16 (step t862 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t861))
% 27.97/28.16 (step t863 (cl (= (not true) false)) :rule all_simplify)
% 27.97/28.16 (step t864 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t862 t863))
% 27.97/28.16 (step t865 (cl (= (tptp.segmentP tptp.nil tptp.nil) (tptp.segmentP tptp.nil tptp.nil))) :rule refl)
% 27.97/28.16 (step t866 (cl (= (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or false (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule cong :premises (t864 t501 t865))
% 27.97/28.16 (step t867 (cl (= (or false (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule all_simplify)
% 27.97/28.16 (step t868 (cl (= (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule trans :premises (t866 t867))
% 27.97/28.16 (step t869 (cl (= (forall ((U $$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 (t860 t868))
% 27.97/28.16 (step t870 (cl (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil))) :rule resolution :premises (t859 t869 a78))
% 27.97/28.16 (step t871 (cl (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) :rule or :premises (t870))
% 27.97/28.16 (step t872 (cl (tptp.segmentP tptp.nil tptp.nil)) :rule resolution :premises (t871 a7))
% 27.97/28.16 (step t873 (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)
% 27.97/28.16 (anchor :step t874)
% 27.97/28.16 (assume t874.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))))))
% 27.97/28.16 (step t874.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)))
% 27.97/28.16 (step t874.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 (t874.t1))
% 27.97/28.16 (step t874.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 (t874.t2 t874.a0))
% 27.97/28.16 (step t874 (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 (t874.a0))
% 27.97/28.16 (step t875 (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 (t873 t874))
% 27.97/28.16 (step t876 (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)
% 27.97/28.16 (step t877 (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 (t875 t876))
% 27.97/28.16 (step t878 (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 (t877))
% 27.97/28.16 (step t879 (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 (t878))
% 27.97/28.16 (step t880 (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)
% 27.97/28.16 (anchor :step t881 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.97/28.16 (step t881.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t881.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t881.t3 (cl (= (not (tptp.segmentP U V)) (not (tptp.segmentP U V)))) :rule refl)
% 27.97/28.16 (step t881.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.97/28.16 (step t881.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t881.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)
% 27.97/28.16 (step t881.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 (t881.t3 t881.t4 t881.t5 t881.t6))
% 27.97/28.16 (step t881 (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)
% 27.97/28.16 (step t882 (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 (t880 t881 a167))
% 27.97/28.16 (step t883 (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 (t879 t882))
% 27.97/28.16 (step t884 (cl (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule resolution :premises (t858 a7 t872 t883))
% 27.97/28.16 (step t885 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) :rule or_pos)
% 27.97/28.16 (step t886 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule reordering :premises (t885))
% 27.97/28.16 (step t887 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule equiv_pos2)
% 27.97/28.16 (step t888 (cl (= (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule all_simplify)
% 27.97/28.16 (step t889 (cl (= (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule cong :premises (t365 t501 t888))
% 27.97/28.16 (step t890 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))))) :rule cong :premises (t364 t889))
% 27.97/28.16 (step t891 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 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)
% 27.97/28.16 (anchor :step t892)
% 27.97/28.16 (assume t892.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)))))
% 27.97/28.16 (step t892.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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 27.97/28.16 (step t892.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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t892.t1))
% 27.97/28.16 (step t892.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t892.t2 t892.a0))
% 27.97/28.16 (step t892 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t892.a0))
% 27.97/28.16 (step t893 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t891 t892))
% 27.97/28.16 (step t894 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t895 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t893 t894))
% 27.97/28.16 (step t896 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t895))
% 27.97/28.16 (step t897 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))))) :rule resolution :premises (t887 t890 t896))
% 27.97/28.16 (step t898 (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.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule implies :premises (t897))
% 27.97/28.16 (step t899 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil)))) :rule resolution :premises (t898 a119))
% 27.97/28.16 (step t900 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app (tptp.cons tptp.sk6 tptp.nil) tptp.nil))) :rule resolution :premises (t886 a7 a193 t899))
% 27.97/28.16 (step t901 (cl (or (not (tptp.memberP (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil) tptp.sk6)) (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP tptp.nil tptp.sk6) (= tptp.sk6 (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t633 t636))
% 27.97/28.16 (step t902 (cl (or (not (tptp.memberP tptp.nil tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule resolution :premises (t617 a70))
% 27.97/28.16 (step t903 (cl (not (tptp.memberP tptp.nil tptp.sk6))) :rule resolution :premises (t610 a193 t902))
% 27.97/28.16 (step t904 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6))) :rule resolution :premises (t662 t669))
% 27.97/28.16 (step t905 (cl (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) :rule resolution :premises (t655 a7 a193 t153 t262 t904))
% 27.97/28.16 (step t906 (cl (or (not (tptp.memberP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk6)) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6))) :rule resolution :premises (t680 a139))
% 27.97/28.16 (step t907 (cl (tptp.memberP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk6)) :rule resolution :premises (t653 a193 a195 t262 t905 t906))
% 27.97/28.16 (step t908 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t696 t781 t792 t822 t844 t855 t884 t900 t608 t901 t302 t903 a193 a7 t651 t907))
% 27.97/28.16 (step t909 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule contraction :premises (t908))
% 27.97/28.16 (step t910 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t911)
% 27.97/28.16 (assume t911.a0 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))
% 27.97/28.16 (step t911.t1 (cl (or (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 27.97/28.16 (step t911.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule or :premises (t911.t1))
% 27.97/28.16 (step t911.t3 (cl (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t911.t2 t911.a0))
% 27.97/28.16 (step t911 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule subproof :discharge (t911.a0))
% 27.97/28.16 (step t912 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t910 t911))
% 27.97/28.16 (step t913 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t914 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t912 t913))
% 27.97/28.16 (step t915 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule contraction :premises (t914))
% 27.97/28.16 (step t916 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule implies :premises (t915))
% 27.97/28.16 (step t917 (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)
% 27.97/28.16 (anchor :step t918 :args ((U $$unsorted) (:= U U)))
% 27.97/28.16 (step t918.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t918.t2 (cl (= (not (tptp.singletonP U)) (not (tptp.singletonP U)))) :rule refl)
% 27.97/28.16 (step t918.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t918.t4 (cl (= (= (tptp.cons (tptp.skaf44 U) tptp.nil) U) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) :rule all_simplify)
% 27.97/28.16 (step t918.t5 (cl (= (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule cong :premises (t918.t2 t918.t3 t918.t4))
% 27.97/28.16 (step t918 (cl (= (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))) :rule bind)
% 27.97/28.16 (step t919 (cl (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule resolution :premises (t917 t918 a100))
% 27.97/28.16 (step t920 (cl (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t916 t919))
% 27.97/28.16 (step t921 (cl (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t82 t88 t909 t920))
% 27.97/28.16 (step t922 (cl (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t80 t921))
% 27.97/28.16 (step t923 (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)
% 27.97/28.16 (anchor :step t924)
% 27.97/28.16 (assume t924.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 27.97/28.16 (step t924.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)))
% 27.97/28.16 (step t924.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 (t924.t1))
% 27.97/28.16 (step t924.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 (t924.t2 t924.a0))
% 27.97/28.16 (step t924 (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 (t924.a0))
% 27.97/28.16 (step t925 (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 (t923 t924))
% 27.97/28.16 (step t926 (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)
% 27.97/28.16 (step t927 (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 (t925 t926))
% 27.97/28.16 (step t928 (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 (t927))
% 27.97/28.16 (step t929 (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 (t928))
% 27.97/28.16 (step t930 (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)
% 27.97/28.16 (anchor :step t931 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 27.97/28.16 (step t931.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t931.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t931.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t931.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.97/28.16 (step t931.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 27.97/28.16 (step t931.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 27.97/28.16 (step t931.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 (t931.t3 t931.t4 t931.t5 t931.t6))
% 27.97/28.16 (step t931 (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)
% 27.97/28.16 (step t932 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t930 t931 a99))
% 27.97/28.16 (step t933 (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 (t929 t932))
% 27.97/28.16 (step t934 (cl (= tptp.nil tptp.sk4)) :rule resolution :premises (t62 t922 a7 a188 t933))
% 27.97/28.16 (step t935 (cl (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 27.97/28.16 (step t936 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)) (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t935))
% 27.97/28.16 (step t937 (cl (not (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule equiv_pos2)
% 27.97/28.16 (step t938 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 27.97/28.16 (step t939 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and :premises (t73))
% 27.97/28.16 (step t940 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t938 t939))
% 27.97/28.16 (step t941 (cl (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule resolution :premises (t937 t940 a191))
% 27.97/28.16 (step t942 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 27.97/28.16 (step t943 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t942))
% 27.97/28.16 (step t944 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$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)
% 27.97/28.16 (anchor :step t945)
% 27.97/28.16 (assume t945.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))
% 27.97/28.16 (step t945.t1 (cl (or (not (forall ((U $$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.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W tptp.sk8)))
% 27.97/28.16 (step t945.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t945.t1))
% 27.97/28.16 (step t945.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t945.t2 t945.a0))
% 27.97/28.16 (step t945 (cl (not (forall ((U $$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.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t945.a0))
% 27.97/28.16 (step t946 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t944 t945))
% 27.97/28.16 (step t947 (cl (=> (forall ((U $$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.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t948 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$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.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t946 t947))
% 27.97/28.16 (step t949 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t948))
% 27.97/28.16 (step t950 (cl (not (forall ((U $$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.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t949))
% 27.97/28.16 (step t951 (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)
% 27.97/28.16 (anchor :step t952 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 27.97/28.16 (step t952.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t952.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t952.t3 (cl (= W W)) :rule refl)
% 27.97/28.16 (step t952.t4 (cl (= X X)) :rule refl)
% 27.97/28.16 (step t952.t5 (cl (= (= (tptp.app (tptp.app U V) W) X) (= X (tptp.app (tptp.app U V) W)))) :rule all_simplify)
% 27.97/28.16 (step t952.t6 (cl (= (not (= (tptp.app (tptp.app U V) W) X)) (not (= X (tptp.app (tptp.app U V) W))))) :rule cong :premises (t952.t5))
% 27.97/28.16 (step t952.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.97/28.16 (step t952.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t952.t9 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.97/28.16 (step t952.t10 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 27.97/28.16 (step t952.t11 (cl (= (tptp.segmentP X V) (tptp.segmentP X V))) :rule refl)
% 27.97/28.16 (step t952.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 (t952.t6 t952.t7 t952.t8 t952.t9 t952.t10 t952.t11))
% 27.97/28.16 (step t952 (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)
% 27.97/28.16 (step t953 (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 $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule all_simplify)
% 27.97/28.16 (anchor :step t954 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 27.97/28.16 (step t954.t1 (cl (= U U)) :rule refl)
% 27.97/28.16 (step t954.t2 (cl (= V V)) :rule refl)
% 27.97/28.16 (step t954.t3 (cl (= W W)) :rule refl)
% 27.97/28.16 (step t954.t4 (cl (= (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W)) true)) :rule all_simplify)
% 27.97/28.16 (step t954.t5 (cl (= (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not true))) :rule cong :premises (t954.t4))
% 27.97/28.16 (step t954.t6 (cl (= (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) false)) :rule trans :premises (t954.t5 t863))
% 27.97/28.16 (step t954.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 27.97/28.16 (step t954.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 27.97/28.16 (step t954.t9 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 27.97/28.16 (step t954.t10 (cl (= (not (tptp.ssList (tptp.app (tptp.app U V) W))) (not (tptp.ssList (tptp.app (tptp.app U V) W))))) :rule refl)
% 27.97/28.16 (step t954.t11 (cl (= (tptp.segmentP (tptp.app (tptp.app U V) W) V) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) :rule refl)
% 27.97/28.16 (step t954.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 (t954.t6 t954.t7 t954.t8 t954.t9 t954.t10 t954.t11))
% 27.97/28.16 (step t954.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)
% 27.97/28.16 (step t954.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 (t954.t12 t954.t13))
% 27.97/28.16 (step t954 (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)
% 27.97/28.16 (step t955 (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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule trans :premises (t953 t954))
% 27.97/28.16 (step t956 (cl (= (forall ((U $$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 (t952 t955))
% 27.97/28.16 (step t957 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule resolution :premises (t951 t956 a172))
% 27.97/28.16 (step t958 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t950 t957))
% 27.97/28.16 (step t959 (cl (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t943 t88 a195 t225 t153 t958))
% 27.97/28.16 (step t960 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t961)
% 27.97/28.16 (assume t961.a0 (forall ((U $$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))))
% 27.97/28.16 (step t961.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (:= W (tptp.cons tptp.sk6 tptp.nil))))
% 27.97/28.16 (step t961.t2 (cl (not (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t961.t1))
% 27.97/28.16 (step t961.t3 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t961.t2 t961.a0))
% 27.97/28.16 (step t961 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t961.a0))
% 27.97/28.16 (step t962 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t960 t961))
% 27.97/28.16 (step t963 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t964 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t962 t963))
% 27.97/28.16 (step t965 (cl (=> (forall ((U $$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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t964))
% 27.97/28.16 (step t966 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t965))
% 27.97/28.16 (step t967 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t966 a151))
% 27.97/28.16 (step t968 (cl (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t936 t88 a188 t941 t225 t959 t967))
% 27.97/28.16 (step t969 (cl (not (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 27.97/28.16 (step t970 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t969))
% 27.97/28.16 (step t971 (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.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 27.97/28.16 (anchor :step t972)
% 27.97/28.16 (assume t972.a0 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 27.97/28.16 (step t972.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil))))
% 27.97/28.16 (step t972.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t972.t1))
% 27.97/28.16 (step t972.t3 (cl (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t972.t2 t972.a0))
% 27.97/28.16 (step t972 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t972.a0))
% 27.97/28.16 (step t973 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t971 t972))
% 27.97/28.16 (step t974 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 27.97/28.16 (step t975 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t973 t974))
% 27.97/28.16 (step t976 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t975))
% 27.97/28.16 (step t977 (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.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t976))
% 27.97/28.16 (step t978 (cl (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t977 a79))
% 27.97/28.16 (step t979 (cl (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t970 t225 t239 t978))
% 27.97/28.16 (step t980 (cl) :rule resolution :premises (t60 t934 t968 t979))
% 27.97/28.16
% 27.97/28.17 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.rZETMSruAa/cvc5---1.0.5_8437.smt2
% 27.97/28.17 % cvc5---1.0.5 exiting
% 27.97/28.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------