TSTP Solution File: SWC178-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC178-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n027.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 18:00:49 EDT 2024
% Result : Unsatisfiable 48.39s 48.59s
% Output : Proof 48.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC178-1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.15 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 26 16:10:24 EDT 2024
% 0.14/0.35 % 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...
% 15.56/15.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.63/20.81 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.83 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.71/30.92 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.77/35.95 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.82/41.01 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.96/46.20 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.39/48.59 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.JDIczHXGXY/cvc5---1.0.5_12657.smt2
% 48.39/48.59 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.JDIczHXGXY/cvc5---1.0.5_12657.smt2
% 48.55/48.75 (assume a0 (tptp.equalelemsP tptp.nil))
% 48.55/48.75 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 48.55/48.75 (assume a2 (tptp.strictorderedP tptp.nil))
% 48.55/48.75 (assume a3 (tptp.totalorderedP tptp.nil))
% 48.55/48.75 (assume a4 (tptp.strictorderP tptp.nil))
% 48.55/48.75 (assume a5 (tptp.totalorderP tptp.nil))
% 48.55/48.75 (assume a6 (tptp.cyclefreeP tptp.nil))
% 48.55/48.75 (assume a7 (tptp.ssList tptp.nil))
% 48.55/48.75 (assume a8 (tptp.ssItem tptp.skac3))
% 48.55/48.75 (assume a9 (tptp.ssItem tptp.skac2))
% 48.55/48.75 (assume a10 (not (tptp.singletonP tptp.nil)))
% 48.55/48.75 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 48.55/48.75 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 48.55/48.75 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 48.55/48.75 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 48.55/48.75 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 48.55/48.75 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 48.55/48.75 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 48.55/48.75 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 48.55/48.75 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 48.55/48.75 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 48.55/48.75 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 48.55/48.75 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 48.55/48.75 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 48.55/48.75 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 48.55/48.75 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 48.55/48.75 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 48.55/48.75 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 48.55/48.75 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 48.55/48.75 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 48.55/48.75 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 48.55/48.75 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 48.55/48.75 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 48.55/48.75 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 48.55/48.75 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 48.55/48.75 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 48.55/48.75 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 48.55/48.75 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 48.55/48.75 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 48.55/48.75 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 48.55/48.75 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 48.55/48.75 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 48.55/48.75 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 48.55/48.75 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 48.55/48.75 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 48.55/48.75 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 48.55/48.75 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 48.55/48.75 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 48.55/48.75 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 48.55/48.75 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 48.55/48.75 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 48.55/48.75 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 48.55/48.75 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 48.55/48.75 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 48.55/48.75 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 48.55/48.75 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 48.55/48.75 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 48.55/48.75 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 48.55/48.75 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 48.55/48.75 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 48.55/48.75 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 48.55/48.75 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 48.55/48.75 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 48.55/48.75 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 48.55/48.75 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 48.55/48.75 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 48.55/48.75 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 48.55/48.75 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 48.55/48.75 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 48.55/48.75 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 48.55/48.75 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 48.55/48.75 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 48.55/48.75 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 48.55/48.75 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.55/48.75 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 48.55/48.75 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.55/48.75 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 48.55/48.75 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.55/48.75 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 48.55/48.75 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 48.55/48.75 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 48.55/48.75 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 48.55/48.75 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 48.55/48.75 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 48.55/48.75 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 48.55/48.75 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 48.55/48.75 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 48.55/48.75 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 48.55/48.75 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 48.55/48.75 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 48.55/48.75 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 48.55/48.75 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 48.55/48.75 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 48.55/48.75 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 48.55/48.75 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 48.55/48.75 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 48.55/48.75 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 48.55/48.75 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 48.55/48.75 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 48.55/48.75 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 48.55/48.75 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 48.55/48.75 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 48.55/48.75 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 48.55/48.75 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 48.55/48.75 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 48.55/48.75 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 48.55/48.75 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.55/48.75 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 48.55/48.75 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 48.55/48.75 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 48.55/48.75 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 48.55/48.75 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 48.55/48.75 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 48.55/48.75 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 48.55/48.75 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 48.55/48.75 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 48.55/48.75 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 48.55/48.75 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 48.55/48.75 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 48.55/48.75 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 48.55/48.75 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 48.55/48.75 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 48.55/48.75 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 48.55/48.75 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 48.55/48.75 (assume a135 (forall ((U $$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))))
% 48.55/48.75 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 48.55/48.75 (assume a137 (forall ((U $$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))))
% 48.55/48.75 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 48.55/48.75 (assume a139 (forall ((U $$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))))
% 48.55/48.75 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 48.55/48.75 (assume a141 (forall ((U $$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))))
% 48.55/48.75 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 48.55/48.75 (assume a143 (forall ((U $$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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 48.55/48.75 (assume a146 (forall ((U $$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))))
% 48.55/48.75 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 48.55/48.75 (assume a148 (forall ((U $$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))))))
% 48.55/48.75 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 48.55/48.75 (assume a150 (forall ((U $$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))))
% 48.55/48.75 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 48.55/48.75 (assume a152 (forall ((U $$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))))
% 48.55/48.75 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 48.55/48.75 (assume a154 (forall ((U $$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))))
% 48.55/48.75 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 48.55/48.75 (assume a156 (forall ((U $$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)))))
% 48.55/48.75 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 48.55/48.75 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 48.55/48.75 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 48.55/48.75 (assume a160 (forall ((U $$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))))
% 48.55/48.75 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 48.55/48.75 (assume a162 (forall ((U $$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))))
% 48.55/48.75 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 48.55/48.75 (assume a164 (forall ((U $$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))))
% 48.55/48.75 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 48.55/48.75 (assume a166 (forall ((U $$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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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)))))
% 48.55/48.75 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 48.55/48.75 (assume a179 (forall ((U $$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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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))))
% 48.55/48.75 (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)))))
% 48.55/48.75 (assume a185 (tptp.ssList tptp.sk1))
% 48.55/48.75 (assume a186 (tptp.ssList tptp.sk2))
% 48.55/48.75 (assume a187 (tptp.ssList tptp.sk3))
% 48.55/48.75 (assume a188 (tptp.ssList tptp.sk4))
% 48.55/48.75 (assume a189 (= tptp.sk2 tptp.sk4))
% 48.55/48.75 (assume a190 (= tptp.sk1 tptp.sk3))
% 48.55/48.75 (assume a191 (tptp.segmentP tptp.sk4 tptp.sk3))
% 48.55/48.75 (assume a192 (tptp.ssItem tptp.sk5))
% 48.55/48.75 (assume a193 (tptp.ssItem tptp.sk6))
% 48.55/48.75 (assume a194 (tptp.ssList tptp.sk7))
% 48.55/48.75 (assume a195 (tptp.ssList tptp.sk8))
% 48.55/48.75 (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))
% 48.55/48.75 (assume a197 (not (tptp.neq tptp.sk5 tptp.sk6)))
% 48.55/48.75 (assume a198 (or (tptp.singletonP tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))))
% 48.55/48.75 (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)
% 48.55/48.75 (step t2 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (anchor :step t22)
% 48.55/48.75 (assume t22.a0 (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.75 (assume t22.a1 (= tptp.nil tptp.sk4))
% 48.55/48.75 (assume t22.a2 (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))
% 48.55/48.75 (step t22.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 48.55/48.75 (step t22.t2 (cl (= (= true false) false)) :rule all_simplify)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (step t22.t5 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)) true)) :rule resolution :premises (t22.t4 t22.a2))
% 48.55/48.75 (step t22.t6 (cl (= true (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t22.t5))
% 48.55/48.75 (step t22.t7 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t22.a1))
% 48.55/48.75 (step t22.t8 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule refl)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (step t22.t14 (cl (= (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false)) :rule resolution :premises (t22.t13 t22.a0))
% 48.55/48.75 (step t22.t15 (cl (= true false)) :rule trans :premises (t22.t6 t22.t9 t22.t14))
% 48.55/48.75 (step t22.t16 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t15))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (anchor :step t41)
% 48.55/48.75 (assume t41.a0 (= tptp.nil tptp.sk4))
% 48.55/48.75 (assume t41.a1 (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.75 (assume t41.a2 (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (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)
% 48.55/48.75 (step t67 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t66 a190 a189))
% 48.55/48.75 (step t68 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t67))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (step t76 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (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))
% 48.55/48.75 (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)
% 48.55/48.75 (step t84 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t73))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (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))
% 48.55/48.75 (step t89 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_pos2)
% 48.55/48.75 (step t90 (cl (= (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk5 tptp.sk6)))) :rule refl)
% 48.55/48.75 (step t91 (cl (= (not (= tptp.nil tptp.sk7)) (not (= tptp.nil tptp.sk7)))) :rule refl)
% 48.55/48.75 (step t92 (cl (= (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.75 (step t93 (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)
% 48.55/48.75 (step t94 (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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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)
% 48.55/48.75 (step t95 (cl (= (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 48.55/48.75 (step t96 (cl (= (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 48.55/48.75 (step t97 (cl (= (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.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)))))) :rule refl)
% 48.55/48.75 (step t98 (cl (= (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.75 (step t99 (cl (= (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.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 refl)
% 48.55/48.75 (step t100 (cl (= (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.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 refl)
% 48.55/48.75 (step t101 (cl (= (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.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 refl)
% 48.55/48.75 (step t102 (cl (= (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule refl)
% 48.55/48.75 (step t103 (cl (= (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true) (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.75 (step t104 (cl (not (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true)) (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t103))
% 48.55/48.75 (step t105 (cl (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.55/48.75 (step t106 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.55/48.75 (step t107 (cl (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.55/48.75 (step t108 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t106 t107))
% 48.55/48.75 (step t109 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule all_simplify)
% 48.55/48.75 (step t110 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) true)) :rule trans :premises (t108 t109))
% 48.55/48.75 (step t111 (cl (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t105 t110))
% 48.55/48.75 (step t112 (cl (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t104 t111))
% 48.55/48.75 (step t113 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t112))
% 48.55/48.75 (step t114 (cl (not (= (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) (not (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_pos2)
% 48.55/48.75 (step t115 (cl (= (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 48.55/48.75 (step t116 (cl (= (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))))) :rule equiv_simplify)
% 48.55/48.75 (step t117 (cl (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (not (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))))) :rule equiv2 :premises (t116))
% 48.55/48.75 (step t118 (cl (not (not (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule not_not)
% 48.55/48.75 (step t119 (cl (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule resolution :premises (t117 t118))
% 48.55/48.75 (step t120 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule implies_neg1)
% 48.55/48.75 (anchor :step t121)
% 48.55/48.75 (assume t121.a0 (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.75 (assume t121.a1 (= tptp.sk5 tptp.sk6))
% 48.55/48.75 (assume t121.a2 (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))
% 48.55/48.75 (assume t121.a3 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.75 (assume t121.a4 (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.75 (assume t121.a5 (= tptp.nil tptp.sk7))
% 48.55/48.75 (assume t121.a6 (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.75 (assume t121.a7 (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.75 (assume t121.a8 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 48.55/48.75 (assume t121.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))))))
% 48.55/48.75 (assume t121.a10 (= 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))))
% 48.55/48.75 (assume t121.a11 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 48.55/48.75 (assume t121.a12 (= (tptp.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))))))
% 48.55/48.75 (assume t121.a13 (tptp.frontsegP (tptp.app (tptp.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))))
% 48.55/48.75 (step t121.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 48.55/48.75 (step t121.t2 (cl (= (= true false) false)) :rule all_simplify)
% 48.55/48.75 (step t121.t3 (cl (= (= (tptp.frontsegP (tptp.app (tptp.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))) true) (tptp.frontsegP (tptp.app (tptp.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))))) :rule equiv_simplify)
% 48.55/48.75 (step t121.t4 (cl (= (tptp.frontsegP (tptp.app (tptp.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))) true) (not (tptp.frontsegP (tptp.app (tptp.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))))) :rule equiv2 :premises (t121.t3))
% 48.55/48.75 (step t121.t5 (cl (= (tptp.frontsegP (tptp.app (tptp.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))) true)) :rule resolution :premises (t121.t4 t121.a13))
% 48.55/48.75 (step t121.t6 (cl (= true (tptp.frontsegP (tptp.app (tptp.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))))) :rule symm :premises (t121.t5))
% 48.55/48.75 (step t121.t7 (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 (t121.a9))
% 48.55/48.75 (step t121.t8 (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 (t121.t7))
% 48.55/48.75 (step t121.t9 (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 (t121.a8))
% 48.55/48.75 (step t121.t10 (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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t121.t9))
% 48.55/48.75 (step t121.t11 (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 (t121.t8 t121.t10))
% 48.55/48.75 (step t121.t12 (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 (t121.a12))
% 48.55/48.75 (step t121.t13 (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 (t121.t12))
% 48.55/48.75 (step t121.t14 (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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t121.t9))
% 48.55/48.75 (step t121.t15 (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 (t121.a11))
% 48.55/48.75 (step t121.t16 (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 (t121.t15))
% 48.55/48.75 (step t121.t17 (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.cons (tptp.skaf44 (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 (t121.t16))
% 48.55/48.75 (step t121.t18 (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 (t121.a10))
% 48.55/48.75 (step t121.t19 (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.nil)) :rule trans :premises (t121.t13 t121.t14 t121.t17 t121.t18))
% 48.55/48.75 (step t121.t20 (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.cons (tptp.hd (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 (t121.t11 t121.t19))
% 48.55/48.75 (step t121.t21 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.55/48.75 (step t121.t22 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t121.a1))
% 48.55/48.75 (step t121.t23 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.75 (step t121.t24 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t121.t22 t121.t23))
% 48.55/48.75 (step t121.t25 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t121.t21 t121.t24))
% 48.55/48.75 (step t121.t26 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t121.t25))
% 48.55/48.75 (step t121.t27 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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 symm :premises (t121.a4))
% 48.55/48.75 (step t121.t28 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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 trans :premises (t121.t26 t121.a3 t121.t27))
% 48.55/48.75 (step t121.t29 (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t121.t28))
% 48.55/48.75 (step t121.t30 (cl (= (tptp.tl (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) :rule symm :premises (t121.a7))
% 48.55/48.75 (step t121.t31 (cl (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t121.t30))
% 48.55/48.75 (step t121.t32 (cl (= (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule symm :premises (t121.a6))
% 48.55/48.75 (step t121.t33 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t121.t32))
% 48.55/48.75 (step t121.t34 (cl (= tptp.sk7 tptp.nil)) :rule symm :premises (t121.a5))
% 48.55/48.75 (step t121.t35 (cl (= tptp.nil tptp.sk7)) :rule symm :premises (t121.t34))
% 48.55/48.75 (step t121.t36 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule refl)
% 48.55/48.75 (step t121.t37 (cl (= (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t121.t35 t121.t36))
% 48.55/48.75 (step t121.t38 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule trans :premises (t121.t33 t121.t37 t121.t25))
% 48.55/48.75 (step t121.t39 (cl (= (tptp.tl (tptp.cons tptp.sk6 tptp.nil)) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t121.t38))
% 48.55/48.75 (step t121.t40 (cl (= (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t121.t25))
% 48.55/48.75 (step t121.t41 (cl (= (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t121.t40))
% 48.55/48.75 (step t121.t42 (cl (= tptp.nil (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule trans :premises (t121.t31 t121.t39 t121.t41))
% 48.55/48.75 (step t121.t43 (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.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t121.t29 t121.t42))
% 48.55/48.75 (step t121.t44 (cl (= (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t121.t26 t121.t40))
% 48.55/48.75 (step t121.t45 (cl (= (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule symm :premises (t121.a2))
% 48.55/48.75 (step t121.t46 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t121.t25))
% 48.55/48.75 (step t121.t47 (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.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule trans :premises (t121.a8 t121.t20 t121.t43 t121.t44 t121.t45 t121.t46))
% 48.55/48.75 (step t121.t48 (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.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule trans :premises (t121.t47 t121.t25))
% 48.55/48.75 (step t121.t49 (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)
% 48.55/48.75 (step t121.t50 (cl (= (tptp.frontsegP (tptp.app (tptp.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.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t121.t48 t121.t49))
% 48.55/48.75 (step t121.t51 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.75 (step t121.t52 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t121.t51))
% 48.55/48.75 (step t121.t53 (cl (not (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 48.55/48.75 (step t121.t54 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t121.t52 t121.t53))
% 48.55/48.75 (step t121.t55 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t121.t54 t121.a0))
% 48.55/48.75 (step t121.t56 (cl (= true false)) :rule trans :premises (t121.t6 t121.t50 t121.t55))
% 48.55/48.75 (step t121.t57 (cl false) :rule resolution :premises (t121.t1 t121.t2 t121.t56))
% 48.55/48.75 (step t121 (cl (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.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.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.frontsegP (tptp.app (tptp.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)))) false) :rule subproof :discharge (t121.a0 t121.a1 t121.a2 t121.a3 t121.a4 t121.a5 t121.a6 t121.a7 t121.a8 t121.a9 t121.a10 t121.a11 t121.a12 t121.a13))
% 48.55/48.75 (step t122 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.75 (step t123 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.75 (step t124 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule and_pos)
% 48.55/48.75 (step t125 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.75 (step t126 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.75 (step t127 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.nil tptp.sk7)) :rule and_pos)
% 48.55/48.75 (step t128 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.75 (step t129 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.75 (step t130 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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)
% 48.55/48.75 (step t131 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.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)
% 48.55/48.75 (step t132 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.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)
% 48.55/48.75 (step t133 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.sk8) (tptp.cons (tptp.skaf44 (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)
% 48.55/48.75 (step t134 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.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)
% 48.55/48.75 (step t135 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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.frontsegP (tptp.app (tptp.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)))) :rule and_pos)
% 48.55/48.75 (step t136 (cl false (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) :rule resolution :premises (t121 t122 t123 t124 t125 t126 t127 t128 t129 t130 t131 t132 t133 t134 t135))
% 48.55/48.75 (step t137 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) false) :rule reordering :premises (t136))
% 48.55/48.75 (step t138 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) false) :rule contraction :premises (t137))
% 48.55/48.75 (step t139 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) false) :rule resolution :premises (t120 t138))
% 48.55/48.75 (step t140 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (not false)) :rule implies_neg2)
% 48.55/48.75 (step t141 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false)) :rule resolution :premises (t139 t140))
% 48.55/48.75 (step t142 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false)) :rule contraction :premises (t141))
% 48.55/48.75 (step t143 (cl (= (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))))) :rule implies_simplify)
% 48.55/48.75 (step t144 (cl (not (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false)) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) :rule equiv1 :premises (t143))
% 48.55/48.75 (step t145 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) :rule resolution :premises (t142 t144))
% 48.55/48.76 (step t146 (cl (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) false)) :rule resolution :premises (t119 t145))
% 48.55/48.76 (step t147 (cl (= (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) false))) :rule cong :premises (t115 t146))
% 48.55/48.76 (step t148 (cl (= (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) false) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.55/48.76 (step t149 (cl (= (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule trans :premises (t147 t148))
% 48.55/48.76 (step t150 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t151)
% 48.55/48.76 (assume t151.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t151.a1 (= tptp.nil tptp.sk7))
% 48.55/48.76 (assume t151.a2 (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (assume t151.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)))
% 48.55/48.76 (assume t151.a4 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 48.55/48.76 (assume t151.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t151.a6 (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t151.a7 (tptp.frontsegP (tptp.app (tptp.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))))
% 48.55/48.76 (assume t151.a8 (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (assume t151.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))))
% 48.55/48.76 (assume t151.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))))))
% 48.55/48.76 (assume t151.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))))))
% 48.55/48.76 (assume t151.a12 (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))
% 48.55/48.76 (assume t151.a13 (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (step t151.t1 (cl (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.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.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.frontsegP (tptp.app (tptp.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))))) :rule and_neg)
% 48.55/48.76 (step t151.t2 (cl (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule resolution :premises (t151.t1 t151.a13 t151.a0 t151.a12 t151.a5 t151.a6 t151.a1 t151.a8 t151.a2 t151.a4 t151.a11 t151.a9 t151.a3 t151.a10 t151.a7))
% 48.55/48.76 (step t151 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule subproof :discharge (t151.a0 t151.a1 t151.a2 t151.a3 t151.a4 t151.a5 t151.a6 t151.a7 t151.a8 t151.a9 t151.a10 t151.a11 t151.a12 t151.a13))
% 48.55/48.76 (step t152 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t153 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 48.55/48.76 (step t154 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t155 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.sk8) (tptp.cons (tptp.skaf44 (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)
% 48.55/48.76 (step t156 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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)
% 48.55/48.76 (step t157 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t158 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t159 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.frontsegP (tptp.app (tptp.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)))) :rule and_pos)
% 48.55/48.76 (step t160 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t161 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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 and_pos)
% 48.55/48.76 (step t162 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.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)
% 48.55/48.76 (step t163 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.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)
% 48.55/48.76 (step t164 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule and_pos)
% 48.55/48.76 (step t165 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t166 (cl (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t151 t152 t153 t154 t155 t156 t157 t158 t159 t160 t161 t162 t163 t164 t165))
% 48.55/48.76 (step t167 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule reordering :premises (t166))
% 48.55/48.76 (step t168 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule contraction :premises (t167))
% 48.55/48.76 (step t169 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) :rule resolution :premises (t150 t168))
% 48.55/48.76 (step t170 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) :rule implies_neg2)
% 48.55/48.76 (step t171 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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))))) (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) :rule resolution :premises (t169 t170))
% 48.55/48.76 (step t172 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.frontsegP (tptp.app (tptp.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)))))) :rule contraction :premises (t171))
% 48.55/48.76 (step t173 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (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) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t114 t149 t172))
% 48.55/48.76 (step t174 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule not_and :premises (t173))
% 48.55/48.76 (step t175 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.55/48.76 (step t176 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.nil tptp.sk7)))) :rule or_neg)
% 48.55/48.76 (step t177 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.55/48.76 (step t178 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)
% 48.55/48.76 (step t179 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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_neg)
% 48.55/48.76 (step t180 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t181 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t182 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app (tptp.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)))))) :rule or_neg)
% 48.55/48.76 (step t183 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.55/48.76 (step t184 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (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)))))) :rule or_neg)
% 48.55/48.76 (step t185 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (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)))))))) :rule or_neg)
% 48.55/48.76 (step t186 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (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 or_neg)
% 48.55/48.76 (step t187 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule or_neg)
% 48.55/48.76 (step t188 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t189 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t174 t175 t176 t177 t178 t179 t180 t181 t182 t183 t184 t185 t186 t187 t188))
% 48.55/48.76 (step t190 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t189))
% 48.55/48.76 (step t191 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t89 t113 t190))
% 48.55/48.76 (step t192 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t191))
% 48.55/48.76 (step t193 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 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)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule reordering :premises (t192))
% 48.55/48.76 (step t194 (cl (not (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t195 (cl (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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t194))
% 48.55/48.76 (step t196 (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)
% 48.55/48.76 (step t197 (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 (t196))
% 48.55/48.76 (step t198 (cl (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule and_neg)
% 48.55/48.76 (step t199 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t200)
% 48.55/48.76 (assume t200.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t200.a1 (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))
% 48.55/48.76 (step t200.t1 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t200.t2)
% 48.55/48.76 (assume t200.t2.a0 (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))
% 48.55/48.76 (assume t200.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (step t200.t2.t1 (cl (= (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) true) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv_simplify)
% 48.55/48.76 (step t200.t2.t2 (cl (not (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) true)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule equiv1 :premises (t200.t2.t1))
% 48.55/48.76 (step t200.t2.t3 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t200.t2.a1))
% 48.55/48.76 (step t200.t2.t4 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t200.t2.t3))
% 48.55/48.76 (step t200.t2.t5 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t200.t2.t6 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t200.t2.t4 t200.t2.t5))
% 48.55/48.76 (step t200.t2.t7 (cl (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t200.t2.t6))
% 48.55/48.76 (step t200.t2.t8 (cl (= (= (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) true) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv_simplify)
% 48.55/48.76 (step t200.t2.t9 (cl (= (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) true) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv2 :premises (t200.t2.t8))
% 48.55/48.76 (step t200.t2.t10 (cl (= (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) true)) :rule resolution :premises (t200.t2.t9 t200.t2.a0))
% 48.55/48.76 (step t200.t2.t11 (cl (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) true)) :rule trans :premises (t200.t2.t7 t200.t2.t10))
% 48.55/48.76 (step t200.t2.t12 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t200.t2.t2 t200.t2.t11))
% 48.55/48.76 (step t200.t2 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule subproof :discharge (t200.t2.a0 t200.t2.a1))
% 48.55/48.76 (step t200.t3 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 48.55/48.76 (step t200.t4 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t200.t5 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t200.t2 t200.t3 t200.t4))
% 48.55/48.76 (step t200.t6 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t200.t5))
% 48.55/48.76 (step t200.t7 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule contraction :premises (t200.t6))
% 48.55/48.76 (step t200.t8 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t200.t1 t200.t7))
% 48.55/48.76 (step t200.t9 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg2)
% 48.55/48.76 (step t200.t10 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t200.t8 t200.t9))
% 48.55/48.76 (step t200.t11 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t200.t10))
% 48.55/48.76 (step t200.t12 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule implies :premises (t200.t11))
% 48.55/48.76 (step t200.t13 (cl (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.55/48.76 (step t200.t14 (cl (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t200.t13 t200.a1 t200.a0))
% 48.55/48.76 (step t200.t15 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t200.t12 t200.t14))
% 48.55/48.76 (step t200 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule subproof :discharge (t200.a0 t200.a1))
% 48.55/48.76 (step t201 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t202 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 48.55/48.76 (step t203 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t200 t201 t202))
% 48.55/48.76 (step t204 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t203))
% 48.55/48.76 (step t205 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule contraction :premises (t204))
% 48.55/48.76 (step t206 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t199 t205))
% 48.55/48.76 (step t207 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg2)
% 48.55/48.76 (step t208 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t206 t207))
% 48.55/48.76 (step t209 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t208))
% 48.55/48.76 (step t210 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule implies :premises (t209))
% 48.55/48.76 (step t211 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t198 t210))
% 48.55/48.76 (step t212 (cl (not (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t211))
% 48.55/48.76 (step t213 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)) :rule or_pos)
% 48.55/48.76 (step t214 (cl (tptp.neq tptp.sk5 tptp.sk6) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk6)) (= tptp.sk5 tptp.sk6) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule reordering :premises (t213))
% 48.55/48.76 (step t215 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule equiv_pos2)
% 48.55/48.76 (step t216 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) :rule refl)
% 48.55/48.76 (step t217 (cl (= (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule refl)
% 48.55/48.76 (step t218 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 48.55/48.76 (step t219 (cl (= (tptp.neq tptp.sk5 tptp.sk6) (tptp.neq tptp.sk5 tptp.sk6))) :rule refl)
% 48.55/48.76 (step t220 (cl (= (= tptp.sk6 tptp.sk5) (= tptp.sk5 tptp.sk6))) :rule all_simplify)
% 48.55/48.76 (step t221 (cl (= (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule cong :premises (t217 t218 t219 t220))
% 48.55/48.76 (step t222 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))))) :rule cong :premises (t216 t221))
% 48.55/48.76 (step t223 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t224)
% 48.55/48.76 (assume t224.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))
% 48.55/48.76 (step t224.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk5)))
% 48.55/48.76 (step t224.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule or :premises (t224.t1))
% 48.55/48.76 (step t224.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t224.t2 t224.a0))
% 48.55/48.76 (step t224 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule subproof :discharge (t224.a0))
% 48.55/48.76 (step t225 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t223 t224))
% 48.55/48.76 (step t226 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule implies_neg2)
% 48.55/48.76 (step t227 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule resolution :premises (t225 t226))
% 48.55/48.76 (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule contraction :premises (t227))
% 48.55/48.76 (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t215 t222 t228))
% 48.55/48.76 (step t230 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))) :rule implies :premises (t229))
% 48.55/48.76 (step t231 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t232 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t232.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t232.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t232.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.55/48.76 (step t232.t4 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 48.55/48.76 (step t232.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 48.55/48.76 (step t232.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 48.55/48.76 (step t232.t7 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t232.t3 t232.t4 t232.t5 t232.t6))
% 48.55/48.76 (step t232 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) :rule bind)
% 48.55/48.76 (step t233 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t231 t232 a101))
% 48.55/48.76 (step t234 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t230 t233))
% 48.55/48.76 (step t235 (cl (= tptp.sk5 tptp.sk6)) :rule resolution :premises (t214 a197 a192 a193 t234))
% 48.55/48.76 (step t236 (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)
% 48.55/48.76 (step t237 (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 (t236))
% 48.55/48.76 (step t238 (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)
% 48.55/48.76 (anchor :step t239)
% 48.55/48.76 (assume t239.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 48.55/48.76 (step t239.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)))
% 48.55/48.76 (step t239.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 (t239.t1))
% 48.55/48.76 (step t239.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t239.t2 t239.a0))
% 48.55/48.76 (step t239 (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 (t239.a0))
% 48.55/48.76 (step t240 (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 (t238 t239))
% 48.55/48.76 (step t241 (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)
% 48.55/48.76 (step t242 (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 (t240 t241))
% 48.55/48.76 (step t243 (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 (t242))
% 48.55/48.76 (step t244 (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 (t243))
% 48.55/48.76 (step t245 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t244 a85))
% 48.55/48.76 (step t246 (cl (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t237 a7 a193 t245))
% 48.55/48.76 (step t247 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t212 t235 t246))
% 48.55/48.76 (step t248 (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)
% 48.55/48.76 (anchor :step t249)
% 48.55/48.76 (assume t249.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 48.55/48.76 (step t249.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)))
% 48.55/48.76 (step t249.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 (t249.t1))
% 48.55/48.76 (step t249.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 (t249.t2 t249.a0))
% 48.55/48.76 (step t249 (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 (t249.a0))
% 48.55/48.76 (step t250 (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 (t248 t249))
% 48.55/48.76 (step t251 (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)
% 48.55/48.76 (step t252 (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 (t250 t251))
% 48.55/48.76 (step t253 (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 (t252))
% 48.55/48.76 (step t254 (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 (t253))
% 48.55/48.76 (step t255 (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 (t254 a84))
% 48.55/48.76 (step t256 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t197 a194 t247 t255))
% 48.55/48.76 (step t257 (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)
% 48.55/48.76 (step t258 (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 (t257))
% 48.55/48.76 (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))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t260)
% 48.55/48.76 (assume t260.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 48.55/48.76 (step t260.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)))))
% 48.55/48.76 (step t260.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 (t260.t1))
% 48.55/48.76 (step t260.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 (t260.t2 t260.a0))
% 48.55/48.76 (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 subproof :discharge (t260.a0))
% 48.55/48.76 (step t261 (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 (t259 t260))
% 48.55/48.76 (step t262 (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)
% 48.55/48.76 (step t263 (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 (t261 t262))
% 48.55/48.76 (step t264 (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 (t263))
% 48.55/48.76 (step t265 (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 (t264))
% 48.55/48.76 (step t266 (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 (t265 a84))
% 48.55/48.76 (step t267 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t258 t246 t256 t266))
% 48.55/48.76 (step t268 (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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (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.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.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t269 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (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.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t268))
% 48.55/48.76 (step t270 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t271)
% 48.55/48.76 (assume t271.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 48.55/48.76 (step t271.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t271.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t271.t1))
% 48.55/48.76 (step t271.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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t271.t2 t271.a0))
% 48.55/48.76 (step t271 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t271.a0))
% 48.55/48.76 (step t272 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t270 t271))
% 48.55/48.76 (step t273 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t274 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t272 t273))
% 48.55/48.76 (step t275 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t274))
% 48.55/48.76 (step t276 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U 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)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t275))
% 48.55/48.76 (step t277 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) (not (forall ((U $$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)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t278 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 48.55/48.76 (step t278.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t278.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t278.t3 (cl (= W W)) :rule refl)
% 48.55/48.76 (step t278.t4 (cl (= (= (tptp.app U V) W) (= W (tptp.app U V)))) :rule all_simplify)
% 48.55/48.76 (step t278.t5 (cl (= (not (= (tptp.app U V) W)) (not (= W (tptp.app U V))))) :rule cong :premises (t278.t4))
% 48.55/48.76 (step t278.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t278.t7 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t278.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 48.55/48.76 (step t278.t9 (cl (= (tptp.frontsegP W U) (tptp.frontsegP W U))) :rule refl)
% 48.55/48.76 (step t278.t10 (cl (= (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) :rule cong :premises (t278.t5 t278.t6 t278.t7 t278.t8 t278.t9))
% 48.55/48.76 (step t278 (cl (= (forall ((U $$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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))) :rule bind)
% 48.55/48.76 (step t279 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule all_simplify)
% 48.55/48.76 (anchor :step t280 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t280.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t280.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t280.t3 (cl (= (= (tptp.app U V) (tptp.app U V)) true)) :rule all_simplify)
% 48.55/48.76 (step t280.t4 (cl (= (not (= (tptp.app U V) (tptp.app U V))) (not true))) :rule cong :premises (t280.t3))
% 48.55/48.76 (step t280.t5 (cl (= (not true) false)) :rule all_simplify)
% 48.55/48.76 (step t280.t6 (cl (= (not (= (tptp.app U V) (tptp.app U V))) false)) :rule trans :premises (t280.t4 t280.t5))
% 48.55/48.76 (step t280.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t280.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t280.t9 (cl (= (not (tptp.ssList (tptp.app U V))) (not (tptp.ssList (tptp.app U V))))) :rule refl)
% 48.55/48.76 (step t280.t10 (cl (= (tptp.frontsegP (tptp.app U V) U) (tptp.frontsegP (tptp.app U V) U))) :rule refl)
% 48.55/48.76 (step t280.t11 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule cong :premises (t280.t6 t280.t7 t280.t8 t280.t9 t280.t10))
% 48.55/48.76 (step t280.t12 (cl (= (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule all_simplify)
% 48.55/48.76 (step t280.t13 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule trans :premises (t280.t11 t280.t12))
% 48.55/48.76 (step t280 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule bind)
% 48.55/48.76 (step t281 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t279 t280))
% 48.55/48.76 (step t282 (cl (= (forall ((U $$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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t278 t281))
% 48.55/48.76 (step t283 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule resolution :premises (t277 t282 a143))
% 48.55/48.76 (step t284 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (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.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t276 t283))
% 48.55/48.76 (step t285 (cl (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t269 t246 t256 t267 t284))
% 48.55/48.76 (step t286 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (not (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t287 (cl (= (= (= (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.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.cons tptp.sk6 tptp.nil)))) true) (= (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.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.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t288 (cl (not (= (= (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.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.cons tptp.sk6 tptp.nil)))) true)) (= (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.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.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t287))
% 48.55/48.76 (step t289 (cl (= (= (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.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.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.cons tptp.sk6 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.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.55/48.76 (step t290 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (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.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t291 (cl (= (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.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.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.55/48.76 (step t292 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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.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.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.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t290 t291))
% 48.55/48.76 (step t293 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (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.cons tptp.sk6 tptp.nil)))) true)) :rule all_simplify)
% 48.55/48.76 (step t294 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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.cons tptp.sk6 tptp.nil)))))) true)) :rule trans :premises (t292 t293))
% 48.55/48.76 (step t295 (cl (= (= (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.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.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t289 t294))
% 48.55/48.76 (step t296 (cl (= (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.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.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t288 t295))
% 48.55/48.76 (step t297 (cl (= (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t298 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t90 t296 t297))
% 48.55/48.76 (step t299 (cl (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 48.55/48.76 (step t300 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t301)
% 48.55/48.76 (assume t301.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t301.a1 (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (step t301.t1 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t301.t2)
% 48.55/48.76 (assume t301.t2.a0 (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t301.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (step t301.t2.t1 (cl (= (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t301.t2.t2 (cl (not (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t301.t2.t1))
% 48.55/48.76 (step t301.t2.t3 (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.cons tptp.sk5 tptp.nil))) false) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false))) (not (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) :rule equiv_pos2)
% 48.55/48.76 (step t301.t2.t4 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule all_simplify)
% 48.55/48.76 (step t301.t2.t5 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.55/48.76 (step t301.t2.t6 (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.cons tptp.sk5 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t301.t2.t5))
% 48.55/48.76 (step t301.t2.t7 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule trans :premises (t301.t2.t4 t301.t2.t6))
% 48.55/48.76 (step t301.t2.t8 (cl (= (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 48.55/48.76 (step t301.t2.t9 (cl (= (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false))) :rule symm :premises (t301.t2.t8))
% 48.55/48.76 (step t301.t2.t10 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false))) :rule trans :premises (t301.t2.t7 t301.t2.t9))
% 48.55/48.76 (step t301.t2.t11 (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)
% 48.55/48.76 (step t301.t2.t12 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.55/48.76 (step t301.t2.t13 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t301.t2.a1))
% 48.55/48.76 (step t301.t2.t14 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t301.t2.t13))
% 48.55/48.76 (step t301.t2.t15 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t301.t2.t16 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t301.t2.t14 t301.t2.t15))
% 48.55/48.76 (step t301.t2.t17 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t301.t2.t12 t301.t2.t16))
% 48.55/48.76 (step t301.t2.t18 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t301.t2.t11 t301.t2.t17))
% 48.55/48.76 (step t301.t2.t19 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t301.t2.t20 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (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.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t301.t2.t19))
% 48.55/48.76 (step t301.t2.t21 (cl (not (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.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.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 48.55/48.76 (step t301.t2.t22 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t301.t2.t20 t301.t2.t21))
% 48.55/48.76 (step t301.t2.t23 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t301.t2.t22 t301.t2.a0))
% 48.55/48.76 (step t301.t2.t24 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule trans :premises (t301.t2.t18 t301.t2.t23))
% 48.55/48.76 (step t301.t2.t25 (cl (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t301.t2.t3 t301.t2.t10 t301.t2.t24))
% 48.55/48.76 (step t301.t2.t26 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t301.t2.t2 t301.t2.t25))
% 48.55/48.76 (step t301.t2 (cl (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.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t301.t2.a0 t301.t2.a1))
% 48.55/48.76 (step t301.t3 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t301.t4 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t301.t5 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t301.t2 t301.t3 t301.t4))
% 48.55/48.76 (step t301.t6 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t301.t5))
% 48.55/48.76 (step t301.t7 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t301.t6))
% 48.55/48.76 (step t301.t8 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t301.t1 t301.t7))
% 48.55/48.76 (step t301.t9 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t301.t10 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t301.t8 t301.t9))
% 48.55/48.76 (step t301.t11 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t301.t10))
% 48.55/48.76 (step t301.t12 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t301.t11))
% 48.55/48.76 (step t301.t13 (cl (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.55/48.76 (step t301.t14 (cl (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t301.t13 t301.a1 t301.a0))
% 48.55/48.76 (step t301.t15 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t301.t12 t301.t14))
% 48.55/48.76 (step t301 (cl (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t301.a0 t301.a1))
% 48.55/48.76 (step t302 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t303 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (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.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t304 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t301 t302 t303))
% 48.55/48.76 (step t305 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t304))
% 48.55/48.76 (step t306 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t305))
% 48.55/48.76 (step t307 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t300 t306))
% 48.55/48.76 (step t308 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t309 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t307 t308))
% 48.55/48.76 (step t310 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t309))
% 48.55/48.76 (step t311 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t310))
% 48.55/48.76 (step t312 (cl (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t299 t311))
% 48.55/48.76 (step t313 (cl (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.55/48.76 (step t314 (cl (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (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.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t315 (cl (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.55/48.76 (step t316 (cl (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t312 t313 t314 t315))
% 48.55/48.76 (step t317 (cl (or (not (= tptp.sk5 tptp.sk6)) (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.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t316))
% 48.55/48.76 (step t318 (cl (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t286 t298 t317))
% 48.55/48.76 (step t319 (cl (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t318))
% 48.55/48.76 (step t320 (cl (not (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t321 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t320))
% 48.55/48.76 (step t322 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t323 (cl (= (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t324 (cl (= (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true) (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t325 (cl (not (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t324))
% 48.55/48.76 (step t326 (cl (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.55/48.76 (step t327 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t328 (cl (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.55/48.76 (step t329 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t327 t328))
% 48.55/48.76 (step t330 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule all_simplify)
% 48.55/48.76 (step t331 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) true)) :rule trans :premises (t329 t330))
% 48.55/48.76 (step t332 (cl (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t326 t331))
% 48.55/48.76 (step t333 (cl (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t325 t332))
% 48.55/48.76 (step t334 (cl (= (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t335 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t90 t323 t333 t334))
% 48.55/48.76 (step t336 (cl (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 48.55/48.76 (step t337 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t338)
% 48.55/48.76 (assume t338.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t338.a1 (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))
% 48.55/48.76 (assume t338.a2 (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (step t338.t1 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t338.t2)
% 48.55/48.76 (assume t338.t2.a0 (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t338.t2.a1 (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))
% 48.55/48.76 (assume t338.t2.a2 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (step t338.t2.t1 (cl (= (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t338.t2.t2 (cl (not (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv1 :premises (t338.t2.t1))
% 48.55/48.76 (step t338.t2.t3 (cl (= (tptp.app tptp.sk7 tptp.nil) tptp.sk7)) :rule symm :premises (t338.t2.a1))
% 48.55/48.76 (step t338.t2.t4 (cl (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule symm :premises (t338.t2.t3))
% 48.55/48.76 (step t338.t2.t5 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.55/48.76 (step t338.t2.t6 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t338.t2.a2))
% 48.55/48.76 (step t338.t2.t7 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t338.t2.t6))
% 48.55/48.76 (step t338.t2.t8 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t338.t2.t9 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t338.t2.t7 t338.t2.t8))
% 48.55/48.76 (step t338.t2.t10 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t338.t2.t5 t338.t2.t9))
% 48.55/48.76 (step t338.t2.t11 (cl (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t338.t2.t4 t338.t2.t10))
% 48.55/48.76 (step t338.t2.t12 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t338.t2.t13 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t338.t2.t12))
% 48.55/48.76 (step t338.t2.t14 (cl (not (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 48.55/48.76 (step t338.t2.t15 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t338.t2.t13 t338.t2.t14))
% 48.55/48.76 (step t338.t2.t16 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t338.t2.t15 t338.t2.a0))
% 48.55/48.76 (step t338.t2.t17 (cl (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule trans :premises (t338.t2.t11 t338.t2.t16))
% 48.55/48.76 (step t338.t2.t18 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t338.t2.t2 t338.t2.t17))
% 48.55/48.76 (step t338.t2 (cl (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t338.t2.a0 t338.t2.a1 t338.t2.a2))
% 48.55/48.76 (step t338.t3 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t338.t4 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule and_pos)
% 48.55/48.76 (step t338.t5 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t338.t6 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t338.t2 t338.t3 t338.t4 t338.t5))
% 48.55/48.76 (step t338.t7 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t338.t6))
% 48.55/48.76 (step t338.t8 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t338.t7))
% 48.55/48.76 (step t338.t9 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t338.t1 t338.t8))
% 48.55/48.76 (step t338.t10 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t338.t11 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t338.t9 t338.t10))
% 48.55/48.76 (step t338.t12 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t338.t11))
% 48.55/48.76 (step t338.t13 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t338.t12))
% 48.55/48.76 (step t338.t14 (cl (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.55/48.76 (step t338.t15 (cl (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t338.t14 t338.a2 t338.a1 t338.a0))
% 48.55/48.76 (step t338.t16 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t338.t13 t338.t15))
% 48.55/48.76 (step t338 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t338.a0 t338.a1 t338.a2))
% 48.55/48.76 (step t339 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t340 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule and_pos)
% 48.55/48.76 (step t341 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t342 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t338 t339 t340 t341))
% 48.55/48.76 (step t343 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t342))
% 48.55/48.76 (step t344 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t343))
% 48.55/48.76 (step t345 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t337 t344))
% 48.55/48.76 (step t346 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t347 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t345 t346))
% 48.55/48.76 (step t348 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t347))
% 48.55/48.76 (step t349 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t348))
% 48.55/48.76 (step t350 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t336 t349))
% 48.55/48.76 (step t351 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.55/48.76 (step t352 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule or_neg)
% 48.55/48.76 (step t353 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t354 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule or_neg)
% 48.55/48.76 (step t355 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t350 t351 t352 t353 t354))
% 48.55/48.76 (step t356 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t355))
% 48.55/48.76 (step t357 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t322 t335 t356))
% 48.55/48.76 (step t358 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t357))
% 48.55/48.76 (step t359 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t358))
% 48.55/48.76 (step t360 (cl (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule or_pos)
% 48.55/48.76 (step t361 (cl (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule reordering :premises (t360))
% 48.55/48.76 (step t362 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t363)
% 48.55/48.76 (assume t363.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 48.55/48.76 (step t363.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.55/48.76 (step t363.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule or :premises (t363.t1))
% 48.55/48.76 (step t363.t3 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule resolution :premises (t363.t2 t363.a0))
% 48.55/48.76 (step t363 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule subproof :discharge (t363.a0))
% 48.55/48.76 (step t364 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule resolution :premises (t362 t363))
% 48.55/48.76 (step t365 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t366 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule resolution :premises (t364 t365))
% 48.55/48.76 (step t367 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule contraction :premises (t366))
% 48.55/48.76 (step t368 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule implies :premises (t367))
% 48.55/48.76 (step t369 (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)
% 48.55/48.76 (anchor :step t370 :args ((U $$unsorted) (:= U U)))
% 48.55/48.76 (step t370.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t370.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t370.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 48.55/48.76 (step t370.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule cong :premises (t370.t2 t370.t3))
% 48.55/48.76 (step t370 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) :rule bind)
% 48.55/48.76 (step t371 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t369 t370 a72))
% 48.55/48.76 (step t372 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule resolution :premises (t368 t371))
% 48.55/48.76 (step t373 (cl (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule resolution :premises (t361 a194 t372))
% 48.55/48.76 (step t374 (cl (not (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 48.55/48.76 (step t375 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t374))
% 48.55/48.76 (step t376 (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)
% 48.55/48.76 (step t377 (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 (t376))
% 48.55/48.76 (step t378 (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)
% 48.55/48.76 (anchor :step t379)
% 48.55/48.76 (assume t379.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 48.55/48.76 (step t379.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)))
% 48.55/48.76 (step t379.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 (t379.t1))
% 48.55/48.76 (step t379.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 (t379.t2 t379.a0))
% 48.55/48.76 (step t379 (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 (t379.a0))
% 48.55/48.76 (step t380 (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 (t378 t379))
% 48.55/48.76 (step t381 (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)
% 48.55/48.76 (step t382 (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 (t380 t381))
% 48.55/48.76 (step t383 (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 (t382))
% 48.55/48.76 (step t384 (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 (t383))
% 48.55/48.76 (step t385 (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)
% 48.55/48.76 (anchor :step t386 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t386.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t386.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t386.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 48.55/48.76 (step t386.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t386.t3))
% 48.55/48.76 (step t386.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.55/48.76 (step t386.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t386.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 (t386.t4 t386.t5 t386.t6))
% 48.55/48.76 (step t386 (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)
% 48.55/48.76 (step t387 (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 (t385 t386 a97))
% 48.55/48.76 (step t388 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t384 t387))
% 48.55/48.76 (step t389 (cl (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t377 a7 a193 t388))
% 48.55/48.76 (step t390 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$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)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t391)
% 48.55/48.76 (assume t391.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 48.55/48.76 (step t391.t1 (cl (or (not (forall ((U $$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)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.nil) (:= W (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t391.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t391.t1))
% 48.55/48.76 (step t391.t3 (cl (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t391.t2 t391.a0))
% 48.55/48.76 (step t391 (cl (not (forall ((U $$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)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t391.a0))
% 48.55/48.76 (step t392 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t390 t391))
% 48.55/48.76 (step t393 (cl (=> (forall ((U $$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))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t394 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$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))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t392 t393))
% 48.55/48.76 (step t395 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t394))
% 48.55/48.76 (step t396 (cl (not (forall ((U $$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)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t395))
% 48.55/48.76 (step t397 (cl (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t396 a149))
% 48.55/48.76 (step t398 (cl (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t375 a7 a194 t246 t389 t397))
% 48.55/48.76 (step t399 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t359 t235 t373 t398))
% 48.55/48.76 (step t400 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t401 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$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))))) :rule refl)
% 48.55/48.76 (step t402 (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.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.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t403 (cl (= (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)))))) :rule refl)
% 48.55/48.76 (step t404 (cl (= (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t405 (cl (= (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)))) :rule refl)
% 48.55/48.76 (step t406 (cl (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule all_simplify)
% 48.55/48.76 (step t407 (cl (= (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t402 t403 t404 t405 t406))
% 48.55/48.76 (step t408 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t401 t407))
% 48.55/48.76 (step t409 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (forall ((U $$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)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t410)
% 48.55/48.76 (assume t410.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 48.55/48.76 (step t410.t1 (cl (or (not (forall ((U $$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)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W tptp.sk7)))
% 48.55/48.76 (step t410.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or :premises (t410.t1))
% 48.55/48.76 (step t410.t3 (cl (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t410.t2 t410.a0))
% 48.55/48.76 (step t410 (cl (not (forall ((U $$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)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t410.a0))
% 48.55/48.76 (step t411 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t409 t410))
% 48.55/48.76 (step t412 (cl (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 48.55/48.76 (step t413 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t411 t412))
% 48.55/48.76 (step t414 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t413))
% 48.55/48.76 (step t415 (cl (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (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.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t400 t408 t414))
% 48.55/48.76 (step t416 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t415))
% 48.55/48.76 (step t417 (cl (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t416 a150))
% 48.55/48.76 (step t418 (cl (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t321 a194 t246 t256 t399 t417))
% 48.55/48.76 (step t419 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t319 t235 t418))
% 48.55/48.76 (step t420 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t421 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) :rule refl)
% 48.55/48.76 (step t422 (cl (= (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t423 (cl (= (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t424 (cl (= (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t425 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.55/48.76 (step t426 (cl (= (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.cons tptp.sk5 tptp.nil)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t422 t423 t424 t403 t425))
% 48.55/48.76 (step t427 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t421 t426))
% 48.55/48.76 (step t428 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t429)
% 48.55/48.76 (assume t429.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))
% 48.55/48.76 (step t429.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (step t429.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t429.t1))
% 48.55/48.76 (step t429.t3 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t429.t2 t429.a0))
% 48.55/48.76 (step t429 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t429.a0))
% 48.55/48.76 (step t430 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t428 t429))
% 48.55/48.76 (step t431 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t432 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t430 t431))
% 48.55/48.76 (step t433 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t432))
% 48.55/48.76 (step t434 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t420 t427 t433))
% 48.55/48.76 (step t435 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t434))
% 48.55/48.76 (step t436 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t437 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t437.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t437.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t437.t3 (cl (= (not (tptp.frontsegP U V)) (not (tptp.frontsegP U V)))) :rule refl)
% 48.55/48.76 (step t437.t4 (cl (= (not (tptp.frontsegP V U)) (not (tptp.frontsegP V U)))) :rule refl)
% 48.55/48.76 (step t437.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t437.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t437.t7 (cl (= (= V U) (= U V))) :rule all_simplify)
% 48.55/48.76 (step t437.t8 (cl (= (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule cong :premises (t437.t3 t437.t4 t437.t5 t437.t6 t437.t7))
% 48.55/48.76 (step t437 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) :rule bind)
% 48.55/48.76 (step t438 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule resolution :premises (t436 t437 a128))
% 48.55/48.76 (step t439 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t435 t438))
% 48.55/48.76 (step t440 (cl (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t195 t256 t267 t285 t419 t439))
% 48.55/48.76 (step t441 (cl (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t442 (cl (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t441))
% 48.55/48.76 (step t443 (cl (not (or (not (= tptp.nil (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.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (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.nil (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 48.55/48.76 (step t444 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (or (not (= tptp.nil (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.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t443))
% 48.55/48.76 (step t445 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_pos2)
% 48.55/48.76 (step t446 (cl (= (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true) (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t447 (cl (not (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t446))
% 48.55/48.76 (step t448 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))))) :rule all_simplify)
% 48.55/48.76 (step t449 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 48.55/48.76 (step t450 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule all_simplify)
% 48.55/48.76 (step t451 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t449 t450))
% 48.55/48.76 (step t452 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) :rule all_simplify)
% 48.55/48.76 (step t453 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) true)) :rule trans :premises (t451 t452))
% 48.55/48.76 (step t454 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t448 t453))
% 48.55/48.76 (step t455 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t447 t454))
% 48.55/48.76 (step t456 (cl (= (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t457 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t90 t455 t456))
% 48.55/48.76 (step t458 (cl (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule and_neg)
% 48.55/48.76 (step t459 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t460)
% 48.55/48.76 (assume t460.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t460.a1 (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t460.t1 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t460.t2)
% 48.55/48.76 (assume t460.t2.a0 (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (assume t460.t2.a1 (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))
% 48.55/48.76 (step t460.t2.t1 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t460.t2.t2 (cl (not (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t460.t2.t1))
% 48.55/48.76 (step t460.t2.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t460.t2.t4 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule symm :premises (t460.t2.a1))
% 48.55/48.76 (step t460.t2.t5 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule symm :premises (t460.t2.t4))
% 48.55/48.76 (step t460.t2.t6 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t460.t2.t3 t460.t2.t5))
% 48.55/48.76 (step t460.t2.t7 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t460.t2.t8 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t460.t2.t7))
% 48.55/48.76 (step t460.t2.t9 (cl (not (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule not_not)
% 48.55/48.76 (step t460.t2.t10 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t460.t2.t8 t460.t2.t9))
% 48.55/48.76 (step t460.t2.t11 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false)) :rule resolution :premises (t460.t2.t10 t460.t2.a0))
% 48.55/48.76 (step t460.t2.t12 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) :rule trans :premises (t460.t2.t6 t460.t2.t11))
% 48.55/48.76 (step t460.t2.t13 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t460.t2.t2 t460.t2.t12))
% 48.55/48.76 (step t460.t2 (cl (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t460.t2.a0 t460.t2.a1))
% 48.55/48.76 (step t460.t3 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t460.t4 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 48.55/48.76 (step t460.t5 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t460.t2 t460.t3 t460.t4))
% 48.55/48.76 (step t460.t6 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t460.t5))
% 48.55/48.76 (step t460.t7 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t460.t6))
% 48.55/48.76 (step t460.t8 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t460.t1 t460.t7))
% 48.55/48.76 (step t460.t9 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t460.t10 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t460.t8 t460.t9))
% 48.55/48.76 (step t460.t11 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t460.t10))
% 48.55/48.76 (step t460.t12 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t460.t11))
% 48.55/48.76 (step t460.t13 (cl (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule and_neg)
% 48.55/48.76 (step t460.t14 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk5 tptp.sk6)) :rule implies_neg1)
% 48.55/48.76 (anchor :step t460.t15)
% 48.55/48.76 (assume t460.t15.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (step t460.t15.t1 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t460.t15.a0))
% 48.55/48.76 (step t460.t15.t2 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t460.t15.t1))
% 48.55/48.76 (step t460.t15.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t460.t15.t4 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t460.t15.t2 t460.t15.t3))
% 48.55/48.76 (step t460.t15 (cl (not (= tptp.sk5 tptp.sk6)) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule subproof :discharge (t460.t15.a0))
% 48.55/48.76 (step t460.t16 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t460.t14 t460.t15))
% 48.55/48.76 (step t460.t17 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg2)
% 48.55/48.76 (step t460.t18 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t460.t16 t460.t17))
% 48.55/48.76 (step t460.t19 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t460.t18))
% 48.55/48.76 (step t460.t20 (cl (not (= tptp.sk5 tptp.sk6)) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule implies :premises (t460.t19))
% 48.55/48.76 (step t460.t21 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t460.t20 t460.a0))
% 48.55/48.76 (step t460.t22 (cl (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t460.t13 t460.a1 t460.t21))
% 48.55/48.76 (step t460.t23 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t460.t12 t460.t22))
% 48.55/48.76 (step t460 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t460.a0 t460.a1))
% 48.55/48.76 (step t461 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t462 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t463 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t460 t461 t462))
% 48.55/48.76 (step t464 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t463))
% 48.55/48.76 (step t465 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t464))
% 48.55/48.76 (step t466 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t459 t465))
% 48.55/48.76 (step t467 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t468 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t466 t467))
% 48.55/48.76 (step t469 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t468))
% 48.55/48.76 (step t470 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t469))
% 48.55/48.76 (step t471 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t458 t470))
% 48.55/48.76 (step t472 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.55/48.76 (step t473 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.55/48.76 (step t474 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule or_neg)
% 48.55/48.76 (step t475 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t471 t472 t473 t474))
% 48.55/48.76 (step t476 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t475))
% 48.55/48.76 (step t477 (cl (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t445 t457 t476))
% 48.55/48.76 (step t478 (cl (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t477))
% 48.55/48.76 (step t479 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t478 t235 t389))
% 48.55/48.76 (step t480 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t481)
% 48.55/48.76 (assume t481.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 48.55/48.76 (step t481.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V (tptp.cons tptp.sk5 tptp.nil))))
% 48.55/48.76 (step t481.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t481.t1))
% 48.55/48.76 (step t481.t3 (cl (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t481.t2 t481.a0))
% 48.55/48.76 (step t481 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t481.a0))
% 48.55/48.76 (step t482 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t480 t481))
% 48.55/48.76 (step t483 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t484 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t482 t483))
% 48.55/48.76 (step t485 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t484))
% 48.55/48.76 (step t486 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t485))
% 48.55/48.76 (step t487 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t488 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t488.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t488.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t488.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 48.55/48.76 (step t488.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t488.t3))
% 48.55/48.76 (step t488.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t488.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t488.t7 (cl (= (= tptp.nil V) (= tptp.nil V))) :rule refl)
% 48.55/48.76 (step t488.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule cong :premises (t488.t4 t488.t5 t488.t6 t488.t7))
% 48.55/48.76 (step t488 (cl (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) :rule bind)
% 48.55/48.76 (step t489 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule resolution :premises (t487 t488 a118))
% 48.55/48.76 (step t490 (cl (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t486 t489))
% 48.55/48.76 (step t491 (cl (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t444 a194 t247 t479 t490))
% 48.55/48.76 (step t492 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t493)
% 48.55/48.76 (assume t493.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))
% 48.55/48.76 (step t493.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (step t493.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t493.t1))
% 48.55/48.76 (step t493.t3 (cl (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t493.t2 t493.a0))
% 48.55/48.76 (step t493 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t493.a0))
% 48.55/48.76 (step t494 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t492 t493))
% 48.55/48.76 (step t495 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t496 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t494 t495))
% 48.55/48.76 (step t497 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t496))
% 48.55/48.76 (step t498 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t497))
% 48.55/48.76 (step t499 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t500 :args ((U $$unsorted) (:= U U)))
% 48.55/48.76 (step t500.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t500.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t500.t3 (cl (= (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= U (tptp.cons (tptp.hd U) (tptp.tl U))))) :rule all_simplify)
% 48.55/48.76 (step t500.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 48.55/48.76 (step t500.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule cong :premises (t500.t2 t500.t3 t500.t4))
% 48.55/48.76 (step t500 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))) :rule bind)
% 48.55/48.76 (step t501 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule resolution :premises (t499 t500 a103))
% 48.55/48.76 (step t502 (cl (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t498 t501))
% 48.55/48.76 (step t503 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t442 t256 t491 t502))
% 48.55/48.76 (step t504 (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)
% 48.55/48.76 (step t505 (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 (t504))
% 48.55/48.76 (step t506 (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 $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t507)
% 48.55/48.76 (assume t507.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 48.55/48.76 (step t507.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 48.55/48.76 (step t507.t2 (cl (not (forall ((U $$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 (t507.t1))
% 48.55/48.76 (step t507.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 (t507.t2 t507.a0))
% 48.55/48.76 (step t507 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t507.a0))
% 48.55/48.76 (step t508 (cl (=> (forall ((U $$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 (t506 t507))
% 48.55/48.76 (step t509 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 48.55/48.76 (step t510 (cl (=> (forall ((U $$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 $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t508 t509))
% 48.55/48.76 (step t511 (cl (=> (forall ((U $$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 (t510))
% 48.55/48.76 (step t512 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U)))) (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t511))
% 48.55/48.76 (step t513 (cl (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t512 a46))
% 48.55/48.76 (step t514 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t515)
% 48.55/48.76 (assume t515.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 48.55/48.76 (step t515.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V tptp.nil)))
% 48.55/48.76 (step t515.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule or :premises (t515.t1))
% 48.55/48.76 (step t515.t3 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t515.t2 t515.a0))
% 48.55/48.76 (step t515 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule subproof :discharge (t515.a0))
% 48.55/48.76 (step t516 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t514 t515))
% 48.55/48.76 (step t517 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) (not (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t518 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule resolution :premises (t516 t517))
% 48.55/48.76 (step t519 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))))) :rule contraction :premises (t518))
% 48.55/48.76 (step t520 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies :premises (t519))
% 48.55/48.76 (step t521 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t522 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t522.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t522.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t522.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.55/48.76 (step t522.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t522.t5 (cl (= (= (tptp.tl (tptp.cons U V)) V) (= V (tptp.tl (tptp.cons U V))))) :rule all_simplify)
% 48.55/48.76 (step t522.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule cong :premises (t522.t3 t522.t4 t522.t5))
% 48.55/48.76 (step t522 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) :rule bind)
% 48.55/48.76 (step t523 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule resolution :premises (t521 t522 a95))
% 48.55/48.76 (step t524 (cl (or (not (tptp.ssItem (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t520 t523))
% 48.55/48.76 (step t525 (cl (= tptp.nil (tptp.tl (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t505 a7 t513 t524))
% 48.55/48.76 (step t526 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t527 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t526))
% 48.55/48.76 (step t528 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t529)
% 48.55/48.76 (assume t529.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 48.55/48.76 (step t529.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t529.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t529.t1))
% 48.55/48.76 (step t529.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t529.t2 t529.a0))
% 48.55/48.76 (step t529 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t529.a0))
% 48.55/48.76 (step t530 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t528 t529))
% 48.55/48.76 (step t531 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t532 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t530 t531))
% 48.55/48.76 (step t533 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t532))
% 48.55/48.76 (step t534 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t533))
% 48.55/48.76 (step t535 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t536 :args ((U $$unsorted) (:= U U)))
% 48.55/48.76 (step t536.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t536.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t536.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 48.55/48.76 (step t536.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t536.t2 t536.t3))
% 48.55/48.76 (step t536 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 48.55/48.76 (step t537 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t535 t536 a73))
% 48.55/48.76 (step t538 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t534 t537))
% 48.55/48.76 (step t539 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t527 t246 t538))
% 48.55/48.76 (step t540 (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)
% 48.55/48.76 (step t541 (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.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 reordering :premises (t540))
% 48.55/48.76 (step t542 (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 $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t543)
% 48.55/48.76 (assume t543.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 48.55/48.76 (step t543.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 48.55/48.76 (step t543.t2 (cl (not (forall ((U $$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 (t543.t1))
% 48.55/48.76 (step t543.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 (t543.t2 t543.a0))
% 48.55/48.76 (step t543 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t543.a0))
% 48.55/48.76 (step t544 (cl (=> (forall ((U $$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 (t542 t543))
% 48.55/48.76 (step t545 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 48.55/48.76 (step t546 (cl (=> (forall ((U $$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 $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t544 t545))
% 48.55/48.76 (step t547 (cl (=> (forall ((U $$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 (t546))
% 48.55/48.76 (step t548 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t547))
% 48.55/48.76 (step t549 (cl (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t548 a11))
% 48.55/48.76 (step t550 (cl (=> (forall ((U $$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 $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t551)
% 48.55/48.76 (assume t551.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 48.55/48.76 (step t551.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 48.55/48.76 (step t551.t2 (cl (not (forall ((U $$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 (t551.t1))
% 48.55/48.76 (step t551.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 (t551.t2 t551.a0))
% 48.55/48.76 (step t551 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t551.a0))
% 48.55/48.76 (step t552 (cl (=> (forall ((U $$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 (t550 t551))
% 48.55/48.76 (step t553 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 48.55/48.76 (step t554 (cl (=> (forall ((U $$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 $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t552 t553))
% 48.55/48.76 (step t555 (cl (=> (forall ((U $$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 (t554))
% 48.55/48.76 (step t556 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t555))
% 48.55/48.76 (step t557 (cl (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t556 a12))
% 48.55/48.76 (step t558 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t559)
% 48.55/48.76 (assume t559.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 48.55/48.76 (step t559.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 48.55/48.76 (step t559.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule or :premises (t559.t1))
% 48.55/48.76 (step t559.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t559.t2 t559.a0))
% 48.55/48.76 (step t559 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule subproof :discharge (t559.a0))
% 48.55/48.76 (step t560 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t558 t559))
% 48.55/48.76 (step t561 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule implies_neg2)
% 48.55/48.76 (step t562 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule resolution :premises (t560 t561))
% 48.55/48.76 (step t563 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule contraction :premises (t562))
% 48.55/48.76 (step t564 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule implies :premises (t563))
% 48.55/48.76 (step t565 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t566 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t566.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t566.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t566.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.55/48.76 (step t566.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t566.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 48.55/48.76 (step t566.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t566.t3 t566.t4 t566.t5))
% 48.55/48.76 (step t566 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 48.55/48.76 (step t567 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t565 t566 a96))
% 48.55/48.76 (step t568 (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 (t564 t567))
% 48.55/48.76 (step t569 (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 (t541 t549 t557 t568))
% 48.55/48.76 (step t570 (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)
% 48.55/48.76 (step t571 (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.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 reordering :premises (t570))
% 48.55/48.76 (step t572 (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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t573)
% 48.55/48.76 (assume t573.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 48.55/48.76 (step t573.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule forall_inst :args ((:= U (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (:= V (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 48.55/48.76 (step t573.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule or :premises (t573.t1))
% 48.55/48.76 (step t573.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t573.t2 t573.a0))
% 48.55/48.76 (step t573 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule subproof :discharge (t573.a0))
% 48.55/48.76 (step t574 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) :rule resolution :premises (t572 t573))
% 48.55/48.76 (step t575 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))))) (not (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule implies_neg2)
% 48.55/48.76 (step t576 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule resolution :premises (t574 t575))
% 48.55/48.76 (step t577 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.tl (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))))) :rule contraction :premises (t576))
% 48.55/48.76 (step t578 (cl (not (forall ((U $$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 (t577))
% 48.55/48.76 (step t579 (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 (t578 t523))
% 48.55/48.76 (step t580 (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 (t571 t549 t557 t579))
% 48.55/48.76 (step t581 (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)
% 48.55/48.76 (step t582 (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 (t581))
% 48.55/48.76 (step t583 (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)
% 48.55/48.76 (step t584 (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 (t583))
% 48.55/48.76 (step t585 (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)
% 48.55/48.76 (step t586 (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 (t585))
% 48.55/48.76 (step t587 (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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t588)
% 48.55/48.76 (assume t588.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 48.55/48.76 (step t588.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t588.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t588.t1))
% 48.55/48.76 (step t588.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t588.t2 t588.a0))
% 48.55/48.76 (step t588 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t588.a0))
% 48.55/48.76 (step t589 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t587 t588))
% 48.55/48.76 (step t590 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t591 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t589 t590))
% 48.55/48.76 (step t592 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t591))
% 48.55/48.76 (step t593 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t592))
% 48.55/48.76 (step t594 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t593 t489))
% 48.55/48.76 (step t595 (cl (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t586 t246 t256 t389 t594))
% 48.55/48.76 (step t596 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t597)
% 48.55/48.76 (assume t597.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.55/48.76 (step t597.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk8)))
% 48.55/48.76 (step t597.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t597.t1))
% 48.55/48.76 (step t597.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t597.t2 t597.a0))
% 48.55/48.76 (step t597 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t597.a0))
% 48.55/48.76 (step t598 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t596 t597))
% 48.55/48.76 (step t599 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t600 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t598 t599))
% 48.55/48.76 (step t601 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t600))
% 48.55/48.76 (step t602 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t601))
% 48.55/48.76 (step t603 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t604 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t604.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t604.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t604.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 48.55/48.76 (step t604.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t604.t3))
% 48.55/48.76 (step t604.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t604.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t604.t7 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 48.55/48.76 (step t604.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule cong :premises (t604.t4 t604.t5 t604.t6 t604.t7))
% 48.55/48.76 (step t604 (cl (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) :rule bind)
% 48.55/48.76 (step t605 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule resolution :premises (t603 t604 a117))
% 48.55/48.76 (step t606 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t602 t605))
% 48.55/48.76 (step t607 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t584 a195 t595 t267 t606))
% 48.55/48.76 (step t608 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t609)
% 48.55/48.76 (assume t609.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 48.55/48.76 (step t609.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 48.55/48.76 (step t609.t2 (cl (not (forall ((U $$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 (t609.t1))
% 48.55/48.76 (step t609.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 (t609.t2 t609.a0))
% 48.55/48.76 (step t609 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule subproof :discharge (t609.a0))
% 48.55/48.76 (step t610 (cl (=> (forall ((U $$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 (t608 t609))
% 48.55/48.76 (step t611 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule implies_neg2)
% 48.55/48.76 (step t612 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule resolution :premises (t610 t611))
% 48.55/48.76 (step t613 (cl (=> (forall ((U $$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 (t612))
% 48.55/48.76 (step t614 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule implies :premises (t613))
% 48.55/48.76 (step t615 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t616 :args ((U $$unsorted) (:= U U)))
% 48.55/48.76 (step t616.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t616.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t616.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 48.55/48.76 (step t616.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 48.55/48.76 (step t616.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 (t616.t2 t616.t3 t616.t4))
% 48.55/48.76 (step t616 (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)
% 48.55/48.76 (step t617 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t615 t616 a108))
% 48.55/48.76 (step t618 (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 (t614 t617))
% 48.55/48.76 (step t619 (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 (t582 t88 t607 t618))
% 48.55/48.76 (step t620 (cl (not (or (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))) (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (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))) (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 48.55/48.76 (step t621 (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.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (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))) (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t620))
% 48.55/48.76 (step t622 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t623)
% 48.55/48.76 (assume t623.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 48.55/48.76 (step t623.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (step t623.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or :premises (t623.t1))
% 48.55/48.76 (step t623.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t623.t2 t623.a0))
% 48.55/48.76 (step t623 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule subproof :discharge (t623.a0))
% 48.55/48.76 (step t624 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t622 t623))
% 48.55/48.76 (step t625 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_neg2)
% 48.55/48.76 (step t626 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t624 t625))
% 48.55/48.76 (step t627 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t626))
% 48.55/48.76 (step t628 (cl (not (forall ((U $$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.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))) (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t627))
% 48.55/48.76 (step t629 (cl (or (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))) (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t628 a122))
% 48.55/48.76 (step t630 (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.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t621 a195 t595 t267 t629))
% 48.55/48.76 (step t631 (cl (not (or (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.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.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))))) (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.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.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)))) :rule or_pos)
% 48.55/48.76 (step t632 (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.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.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))) (not (or (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.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.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)))))) :rule reordering :premises (t631))
% 48.55/48.76 (step t633 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t634)
% 48.55/48.76 (assume t634.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 48.55/48.76 (step t634.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk8)))
% 48.55/48.76 (step t634.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t634.t1))
% 48.55/48.76 (step t634.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t634.t2 t634.a0))
% 48.55/48.76 (step t634 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t634.a0))
% 48.55/48.76 (step t635 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t633 t634))
% 48.55/48.76 (step t636 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t637 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t635 t636))
% 48.55/48.76 (step t638 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t637))
% 48.55/48.76 (step t639 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (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.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.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))))) :rule implies :premises (t638))
% 48.55/48.76 (step t640 (cl (or (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.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.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))))) :rule resolution :premises (t639 t283))
% 48.55/48.76 (step t641 (cl (tptp.frontsegP (tptp.app (tptp.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)))) :rule resolution :premises (t632 t88 a195 t267 t640))
% 48.55/48.76 (step t642 (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.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 48.55/48.76 (step t643 (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.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (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.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t642))
% 48.55/48.76 (step t644 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_pos2)
% 48.55/48.76 (step t645 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))) :rule refl)
% 48.55/48.76 (step t646 (cl (= (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t647 (cl (= (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 48.55/48.76 (step t648 (cl (= (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t404 t403 t646 t647))
% 48.55/48.76 (step t649 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule cong :premises (t645 t648))
% 48.55/48.76 (step t650 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t651)
% 48.55/48.76 (assume t651.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 48.55/48.76 (step t651.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (step t651.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule or :premises (t651.t1))
% 48.55/48.76 (step t651.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t651.t2 t651.a0))
% 48.55/48.76 (step t651 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule subproof :discharge (t651.a0))
% 48.55/48.76 (step t652 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t650 t651))
% 48.55/48.76 (step t653 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule implies_neg2)
% 48.55/48.76 (step t654 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t652 t653))
% 48.55/48.76 (step t655 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule contraction :premises (t654))
% 48.55/48.76 (step t656 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t644 t649 t655))
% 48.55/48.76 (step t657 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t656))
% 48.55/48.76 (step t658 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t657 a122))
% 48.55/48.76 (step t659 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t643 t246 t256 t491 t658))
% 48.55/48.76 (step t660 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t661 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t660))
% 48.55/48.76 (step t662 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t663)
% 48.55/48.76 (assume t663.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 48.55/48.76 (step t663.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 48.55/48.76 (step t663.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t663.t1))
% 48.55/48.76 (step t663.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t663.t2 t663.a0))
% 48.55/48.76 (step t663 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t663.a0))
% 48.55/48.76 (step t664 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t662 t663))
% 48.55/48.76 (step t665 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t666 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t664 t665))
% 48.55/48.76 (step t667 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t666))
% 48.55/48.76 (step t668 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t667))
% 48.55/48.76 (step t669 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t668 t523))
% 48.55/48.76 (step t670 (cl (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t661 a7 a193 t669))
% 48.55/48.76 (step t671 (cl (not (= (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) (not (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t672 (cl (= (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule refl)
% 48.55/48.76 (step t673 (cl (= (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule refl)
% 48.55/48.76 (step t674 (cl (= (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule refl)
% 48.55/48.76 (step t675 (cl (= (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule refl)
% 48.55/48.76 (step t676 (cl (= (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true) (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t677 (cl (not (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true)) (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv1 :premises (t676))
% 48.55/48.76 (step t678 (cl (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule all_simplify)
% 48.55/48.76 (step t679 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t680 (cl (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule all_simplify)
% 48.55/48.76 (step t681 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t679 t680))
% 48.55/48.76 (step t682 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true)) :rule all_simplify)
% 48.55/48.76 (step t683 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) true)) :rule trans :premises (t681 t682))
% 48.55/48.76 (step t684 (cl (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true)) :rule trans :premises (t678 t683))
% 48.55/48.76 (step t685 (cl (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t677 t684))
% 48.55/48.76 (step t686 (cl (= (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t687 (cl (= (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t90 t93 t672 t94 t673 t95 t96 t99 t100 t674 t101 t675 t685 t686))
% 48.55/48.76 (step t688 (cl (not (= (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) (not (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t689 (cl (= (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t690 (cl (= (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_simplify)
% 48.55/48.76 (step t691 (cl (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv2 :premises (t690))
% 48.55/48.76 (step t692 (cl (not (not (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule not_not)
% 48.55/48.76 (step t693 (cl (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t691 t692))
% 48.55/48.76 (step t694 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t695)
% 48.55/48.76 (assume t695.a0 (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (assume t695.a1 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (assume t695.a2 (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (assume t695.a3 (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))
% 48.55/48.76 (assume t695.a4 (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (assume t695.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t695.a6 (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t695.a7 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf82 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))))
% 48.55/48.76 (assume t695.a8 (= (tptp.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))))))
% 48.55/48.76 (assume t695.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))))
% 48.55/48.76 (assume t695.a10 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))
% 48.55/48.76 (assume t695.a11 (= (tptp.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))))))
% 48.55/48.76 (assume t695.a12 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t695.a13 (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t695.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 48.55/48.76 (step t695.t2 (cl (= (= true false) false)) :rule all_simplify)
% 48.55/48.76 (step t695.t3 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t695.t4 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t695.t3))
% 48.55/48.76 (step t695.t5 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) :rule resolution :premises (t695.t4 t695.a13))
% 48.55/48.76 (step t695.t6 (cl (= true (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t695.t5))
% 48.55/48.76 (step t695.t7 (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 (t695.a8))
% 48.55/48.76 (step t695.t8 (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 (t695.t7))
% 48.55/48.76 (step t695.t9 (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 (t695.a7))
% 48.55/48.76 (step t695.t10 (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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t695.t9))
% 48.55/48.76 (step t695.t11 (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 (t695.t8 t695.t10))
% 48.55/48.76 (step t695.t12 (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 (t695.a11))
% 48.55/48.76 (step t695.t13 (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 (t695.t12))
% 48.55/48.76 (step t695.t14 (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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t695.t9))
% 48.55/48.76 (step t695.t15 (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 (t695.a10))
% 48.55/48.76 (step t695.t16 (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 (t695.t15))
% 48.55/48.76 (step t695.t17 (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.cons (tptp.skaf44 (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 (t695.t16))
% 48.55/48.76 (step t695.t18 (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 (t695.a9))
% 48.55/48.76 (step t695.t19 (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.nil)) :rule trans :premises (t695.t13 t695.t14 t695.t17 t695.t18))
% 48.55/48.76 (step t695.t20 (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.cons (tptp.hd (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 (t695.t11 t695.t19))
% 48.55/48.76 (step t695.t21 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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 symm :premises (t695.a6))
% 48.55/48.76 (step t695.t22 (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.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t695.t21))
% 48.55/48.76 (step t695.t23 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule symm :premises (t695.a5))
% 48.55/48.76 (step t695.t24 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))) :rule symm :premises (t695.a4))
% 48.55/48.76 (step t695.t25 (cl (= (tptp.hd tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule cong :premises (t695.a1))
% 48.55/48.76 (step t695.t26 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.skaf83 tptp.sk7))) :rule symm :premises (t695.a3))
% 48.55/48.76 (step t695.t27 (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.skaf83 tptp.sk7))) :rule trans :premises (t695.t22 t695.t23 t695.t24 t695.t25 t695.t26))
% 48.55/48.76 (step t695.t28 (cl (= (tptp.hd tptp.sk7) (tptp.skaf83 tptp.sk7))) :rule trans :premises (t695.t25 t695.t26))
% 48.55/48.76 (step t695.t29 (cl (= (tptp.skaf83 tptp.sk7) (tptp.hd tptp.sk7))) :rule symm :premises (t695.t28))
% 48.55/48.76 (step t695.t30 (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.hd tptp.sk7))) :rule trans :premises (t695.t27 t695.t29))
% 48.55/48.76 (step t695.t31 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t695.t32 (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.sk7) tptp.nil))) :rule cong :premises (t695.t30 t695.t31))
% 48.55/48.76 (step t695.t33 (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.sk7) tptp.nil))) :rule trans :premises (t695.a7 t695.t20 t695.t32))
% 48.55/48.76 (step t695.t34 (cl (= (tptp.cons (tptp.hd tptp.sk7) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil))) :rule cong :premises (t695.t28 t695.t31))
% 48.55/48.76 (step t695.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.skaf83 tptp.sk7) tptp.nil))) :rule trans :premises (t695.t33 t695.t34))
% 48.55/48.76 (step t695.t36 (cl (= (tptp.skaf82 tptp.sk7) (tptp.skaf82 tptp.sk7))) :rule refl)
% 48.55/48.76 (step t695.t37 (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.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule cong :premises (t695.t35 t695.t36))
% 48.55/48.76 (step t695.t38 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule symm :premises (t695.a2))
% 48.55/48.76 (step t695.t39 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t695.a1))
% 48.55/48.76 (step t695.t40 (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.skaf82 tptp.sk7)) tptp.sk7)) :rule trans :premises (t695.t37 t695.t38 t695.t39))
% 48.55/48.76 (step t695.t41 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.55/48.76 (step t695.t42 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t695.a12))
% 48.55/48.76 (step t695.t43 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t695.t42 t695.t31))
% 48.55/48.76 (step t695.t44 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t695.t41 t695.t43))
% 48.55/48.76 (step t695.t45 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t695.t40 t695.t44))
% 48.55/48.76 (step t695.t46 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 48.55/48.76 (step t695.t47 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv2 :premises (t695.t46))
% 48.55/48.76 (step t695.t48 (cl (not (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule not_not)
% 48.55/48.76 (step t695.t49 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t695.t47 t695.t48))
% 48.55/48.76 (step t695.t50 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule resolution :premises (t695.t49 t695.a0))
% 48.55/48.76 (step t695.t51 (cl (= true false)) :rule trans :premises (t695.t6 t695.t45 t695.t50))
% 48.55/48.76 (step t695.t52 (cl false) :rule resolution :premises (t695.t1 t695.t2 t695.t51))
% 48.55/48.76 (step t695 (cl (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.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.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.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) :rule subproof :discharge (t695.a0 t695.a1 t695.a2 t695.a3 t695.a4 t695.a5 t695.a6 t695.a7 t695.a8 t695.a9 t695.a10 t695.a11 t695.a12 t695.a13))
% 48.55/48.76 (step t696 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t697 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.55/48.76 (step t698 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.55/48.76 (step t699 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_pos)
% 48.55/48.76 (step t700 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t701 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t702 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t703 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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)
% 48.55/48.76 (step t704 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.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)
% 48.55/48.76 (step t705 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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 and_pos)
% 48.55/48.76 (step t706 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (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) (tptp.cons (tptp.skaf44 (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)
% 48.55/48.76 (step t707 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.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)
% 48.55/48.76 (step t708 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t709 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t710 (cl false (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t695 t696 t697 t698 t699 t700 t701 t702 t703 t704 t705 t706 t707 t708 t709))
% 48.55/48.76 (step t711 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) false) :rule reordering :premises (t710))
% 48.55/48.76 (step t712 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) false) :rule contraction :premises (t711))
% 48.55/48.76 (step t713 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) false) :rule resolution :premises (t694 t712))
% 48.55/48.76 (step t714 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not false)) :rule implies_neg2)
% 48.55/48.76 (step t715 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t713 t714))
% 48.55/48.76 (step t716 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule contraction :premises (t715))
% 48.55/48.76 (step t717 (cl (= (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_simplify)
% 48.55/48.76 (step t718 (cl (not (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv1 :premises (t717))
% 48.55/48.76 (step t719 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t716 t718))
% 48.55/48.76 (step t720 (cl (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t693 t719))
% 48.55/48.76 (step t721 (cl (= (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false))) :rule cong :premises (t689 t720))
% 48.55/48.76 (step t722 (cl (= (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule all_simplify)
% 48.55/48.76 (step t723 (cl (= (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule trans :premises (t721 t722))
% 48.55/48.76 (step t724 (cl (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t725)
% 48.55/48.76 (assume t725.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t725.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)))
% 48.55/48.76 (assume t725.a2 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (assume t725.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)))))
% 48.55/48.76 (assume t725.a4 (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (assume t725.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t725.a6 (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.55/48.76 (assume t725.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))))
% 48.55/48.76 (assume t725.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))))))
% 48.55/48.76 (assume t725.a9 (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))
% 48.55/48.76 (assume t725.a10 (= (tptp.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))))))
% 48.55/48.76 (assume t725.a11 (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (assume t725.a12 (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (assume t725.a13 (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))
% 48.55/48.76 (step t725.t1 (cl (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.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.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.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_neg)
% 48.55/48.76 (step t725.t2 (cl (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t725.t1 t725.a12 t725.a2 t725.a11 t725.a9 t725.a4 t725.a5 t725.a6 t725.a3 t725.a10 t725.a7 t725.a1 t725.a8 t725.a0 t725.a13))
% 48.55/48.76 (step t725 (cl (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t725.a0 t725.a1 t725.a2 t725.a3 t725.a4 t725.a5 t725.a6 t725.a7 t725.a8 t725.a9 t725.a10 t725.a11 t725.a12 t725.a13))
% 48.55/48.76 (step t726 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t727 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (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) (tptp.cons (tptp.skaf44 (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)
% 48.55/48.76 (step t728 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.55/48.76 (step t729 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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)
% 48.55/48.76 (step t730 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t731 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t732 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t733 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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 and_pos)
% 48.55/48.76 (step t734 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.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)
% 48.55/48.76 (step t735 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_pos)
% 48.55/48.76 (step t736 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.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)
% 48.55/48.76 (step t737 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.55/48.76 (step t738 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.55/48.76 (step t739 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t740 (cl (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t725 t726 t727 t728 t729 t730 t731 t732 t733 t734 t735 t736 t737 t738 t739))
% 48.55/48.76 (step t741 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t740))
% 48.55/48.76 (step t742 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t741))
% 48.55/48.76 (step t743 (cl (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t724 t742))
% 48.55/48.76 (step t744 (cl (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t745 (cl (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t743 t744))
% 48.55/48.76 (step t746 (cl (=> (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (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) (tptp.cons (tptp.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)) (= (tptp.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.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t745))
% 48.55/48.76 (step t747 (cl (not (and (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.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.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.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.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t688 t723 t746))
% 48.55/48.76 (step t748 (cl (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule not_and :premises (t747))
% 48.55/48.76 (step t749 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.55/48.76 (step t750 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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)
% 48.55/48.76 (step t751 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule or_neg)
% 48.55/48.76 (step t752 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 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.skaf83 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (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_neg)
% 48.55/48.76 (step t753 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t754 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t755 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t756 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (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)))))) :rule or_neg)
% 48.55/48.76 (step t757 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (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)))))))) :rule or_neg)
% 48.55/48.76 (step t758 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule or_neg)
% 48.55/48.76 (step t759 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (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 or_neg)
% 48.55/48.76 (step t760 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule or_neg)
% 48.55/48.76 (step t761 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule or_neg)
% 48.55/48.76 (step t762 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.55/48.76 (step t763 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t748 t749 t750 t751 t752 t753 t754 t755 t756 t757 t758 t759 t760 t761 t762))
% 48.55/48.76 (step t764 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t763))
% 48.55/48.76 (step t765 (cl (or (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t671 t687 t764))
% 48.55/48.76 (step t766 (cl (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t765))
% 48.55/48.76 (step t767 (cl (not (= tptp.sk5 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.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (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.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.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.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 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.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t766))
% 48.55/48.76 (step t768 (cl (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t769 (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.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t768))
% 48.55/48.76 (step t770 (cl (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_neg)
% 48.55/48.76 (step t771 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t772)
% 48.55/48.76 (assume t772.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t772.a1 (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.55/48.76 (step t772.t1 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t772.t2)
% 48.55/48.76 (assume t772.t2.a0 (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.55/48.76 (assume t772.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (step t772.t2.t1 (cl (= (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t772.t2.t2 (cl (not (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t772.t2.t1))
% 48.55/48.76 (step t772.t2.t3 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.55/48.76 (step t772.t2.t4 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t772.t2.a1))
% 48.55/48.76 (step t772.t2.t5 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t772.t2.t4))
% 48.55/48.76 (step t772.t2.t6 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t772.t2.t5))
% 48.55/48.76 (step t772.t2.t7 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t772.t2.t8 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t772.t2.t6 t772.t2.t7))
% 48.55/48.76 (step t772.t2.t9 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t772.t2.t3 t772.t2.t8))
% 48.55/48.76 (step t772.t2.t10 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t772.t2.t9))
% 48.55/48.76 (step t772.t2.t11 (cl (= (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t772.t2.t12 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t772.t2.t11))
% 48.55/48.76 (step t772.t2.t13 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true)) :rule resolution :premises (t772.t2.t12 t772.t2.a0))
% 48.55/48.76 (step t772.t2.t14 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t772.t2.t10 t772.t2.t13))
% 48.55/48.76 (step t772.t2.t15 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t772.t2.t2 t772.t2.t14))
% 48.55/48.76 (step t772.t2 (cl (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t772.t2.a0 t772.t2.a1))
% 48.55/48.76 (step t772.t3 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t772.t4 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t772.t5 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t772.t2 t772.t3 t772.t4))
% 48.55/48.76 (step t772.t6 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t772.t5))
% 48.55/48.76 (step t772.t7 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t772.t6))
% 48.55/48.76 (step t772.t8 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t772.t1 t772.t7))
% 48.55/48.76 (step t772.t9 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t772.t10 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t772.t8 t772.t9))
% 48.55/48.76 (step t772.t11 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t772.t10))
% 48.55/48.76 (step t772.t12 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t772.t11))
% 48.55/48.76 (step t772.t13 (cl (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.55/48.76 (step t772.t14 (cl (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t772.t13 t772.a1 t772.a0))
% 48.55/48.76 (step t772.t15 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t772.t12 t772.t14))
% 48.55/48.76 (step t772 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t772.a0 t772.a1))
% 48.55/48.76 (step t773 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t774 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t775 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t772 t773 t774))
% 48.55/48.76 (step t776 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t775))
% 48.55/48.76 (step t777 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t776))
% 48.55/48.76 (step t778 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t771 t777))
% 48.55/48.76 (step t779 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t780 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t778 t779))
% 48.55/48.76 (step t781 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t780))
% 48.55/48.76 (step t782 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t781))
% 48.55/48.76 (step t783 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t770 t782))
% 48.55/48.76 (step t784 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t783 t235 t256))
% 48.55/48.76 (step t785 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t786)
% 48.55/48.76 (assume t786.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 48.55/48.76 (step t786.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.55/48.76 (step t786.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule or :premises (t786.t1))
% 48.55/48.76 (step t786.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t786.t2 t786.a0))
% 48.55/48.76 (step t786 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule subproof :discharge (t786.a0))
% 48.55/48.76 (step t787 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t785 t786))
% 48.55/48.76 (step t788 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule implies_neg2)
% 48.55/48.76 (step t789 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule resolution :premises (t787 t788))
% 48.55/48.76 (step t790 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule contraction :premises (t789))
% 48.55/48.76 (step t791 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule implies :premises (t790))
% 48.55/48.76 (step t792 (cl (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t791 a12))
% 48.55/48.76 (step t793 (cl (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_neg)
% 48.55/48.76 (step t794 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t795)
% 48.55/48.76 (assume t795.a0 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (assume t795.a1 (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.55/48.76 (step t795.t1 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t795.t2)
% 48.55/48.76 (assume t795.t2.a0 (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.55/48.76 (assume t795.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.55/48.76 (step t795.t2.t1 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t795.t2.t2 (cl (not (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t795.t2.t1))
% 48.55/48.76 (step t795.t2.t3 (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)
% 48.55/48.76 (step t795.t2.t4 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.55/48.76 (step t795.t2.t5 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t795.t2.a1))
% 48.55/48.76 (step t795.t2.t6 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t795.t2.t5))
% 48.55/48.76 (step t795.t2.t7 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t795.t2.t6))
% 48.55/48.76 (step t795.t2.t8 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.55/48.76 (step t795.t2.t9 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t795.t2.t7 t795.t2.t8))
% 48.55/48.76 (step t795.t2.t10 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t795.t2.t4 t795.t2.t9))
% 48.55/48.76 (step t795.t2.t11 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t795.t2.t3 t795.t2.t10))
% 48.55/48.76 (step t795.t2.t12 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 48.55/48.76 (step t795.t2.t13 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t795.t2.t12))
% 48.55/48.76 (step t795.t2.t14 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true)) :rule resolution :premises (t795.t2.t13 t795.t2.a0))
% 48.55/48.76 (step t795.t2.t15 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t795.t2.t11 t795.t2.t14))
% 48.55/48.76 (step t795.t2.t16 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t795.t2.t2 t795.t2.t15))
% 48.55/48.76 (step t795.t2 (cl (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t795.t2.a0 t795.t2.a1))
% 48.55/48.76 (step t795.t3 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t795.t4 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t795.t5 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t795.t2 t795.t3 t795.t4))
% 48.55/48.76 (step t795.t6 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t795.t5))
% 48.55/48.76 (step t795.t7 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t795.t6))
% 48.55/48.76 (step t795.t8 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t795.t1 t795.t7))
% 48.55/48.76 (step t795.t9 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t795.t10 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t795.t8 t795.t9))
% 48.55/48.76 (step t795.t11 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t795.t10))
% 48.55/48.76 (step t795.t12 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t795.t11))
% 48.55/48.76 (step t795.t13 (cl (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.55/48.76 (step t795.t14 (cl (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t795.t13 t795.a1 t795.a0))
% 48.55/48.76 (step t795.t15 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t795.t12 t795.t14))
% 48.55/48.76 (step t795 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t795.a0 t795.a1))
% 48.55/48.76 (step t796 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.55/48.76 (step t797 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.55/48.76 (step t798 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t795 t796 t797))
% 48.55/48.76 (step t799 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t798))
% 48.55/48.76 (step t800 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t799))
% 48.55/48.76 (step t801 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t794 t800))
% 48.55/48.76 (step t802 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t803 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t801 t802))
% 48.55/48.76 (step t804 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t803))
% 48.55/48.76 (step t805 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t804))
% 48.55/48.76 (step t806 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t793 t805))
% 48.55/48.76 (step t807 (cl (not (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t808 (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.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t807))
% 48.55/48.76 (step t809 (cl (=> (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))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t810)
% 48.55/48.76 (assume t810.a0 (forall ((U $$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))))
% 48.55/48.76 (step t810.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (:= V (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= W (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.55/48.76 (step t810.t2 (cl (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t810.t1))
% 48.55/48.76 (step t810.t3 (cl (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t810.t2 t810.a0))
% 48.55/48.76 (step t810 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t810.a0))
% 48.55/48.76 (step t811 (cl (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t809 t810))
% 48.55/48.76 (step t812 (cl (=> (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))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t813 (cl (=> (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))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t811 t812))
% 48.55/48.76 (step t814 (cl (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t813))
% 48.55/48.76 (step t815 (cl (not (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)))) (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t814))
% 48.55/48.76 (step t816 (cl (or (not (tptp.frontsegP (tptp.app (tptp.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)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (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)))) (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.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t815 a153))
% 48.55/48.76 (step t817 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t808 t88 t256 t267 t285 t641 t816))
% 48.55/48.76 (step t818 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t806 t235 t817))
% 48.55/48.76 (step t819 (cl (=> (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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t820)
% 48.55/48.76 (assume t820.a0 (forall ((U $$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))))
% 48.55/48.76 (step t820.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (:= W (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (step t820.t2 (cl (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t820.t1))
% 48.55/48.76 (step t820.t3 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t820.t2 t820.a0))
% 48.55/48.76 (step t820 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t820.a0))
% 48.55/48.76 (step t821 (cl (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t819 t820))
% 48.55/48.76 (step t822 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.55/48.76 (step t823 (cl (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t821 t822))
% 48.55/48.76 (step t824 (cl (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t823))
% 48.55/48.76 (step t825 (cl (not (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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t824))
% 48.55/48.76 (step t826 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (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.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t825 a136))
% 48.55/48.76 (step t827 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t769 t88 t784 t792 t818 t826))
% 48.55/48.76 (step t828 (cl (not (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.55/48.76 (step t829 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t828))
% 48.55/48.76 (step t830 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) :rule or_pos)
% 48.55/48.76 (step t831 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule reordering :premises (t830))
% 48.55/48.76 (step t832 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t833)
% 48.55/48.76 (assume t833.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 48.55/48.76 (step t833.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7) (:= V (tptp.cons tptp.sk5 tptp.nil))))
% 48.55/48.76 (step t833.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or :premises (t833.t1))
% 48.55/48.76 (step t833.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t833.t2 t833.a0))
% 48.55/48.76 (step t833 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t833.a0))
% 48.55/48.76 (step t834 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t832 t833))
% 48.55/48.76 (step t835 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 48.55/48.76 (step t836 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t834 t835))
% 48.55/48.76 (step t837 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t836))
% 48.55/48.76 (step t838 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule implies :premises (t837))
% 48.55/48.76 (step t839 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t838 t283))
% 48.55/48.76 (step t840 (cl (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) :rule resolution :premises (t831 a194 t247 t256 t839))
% 48.55/48.76 (step t841 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_pos2)
% 48.55/48.76 (step t842 (cl (= (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule refl)
% 48.55/48.76 (step t843 (cl (= (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.55/48.76 (step t844 (cl (= (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t842 t843 t403 t405 t406))
% 48.55/48.76 (step t845 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t421 t844))
% 48.55/48.76 (step t846 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t847)
% 48.55/48.76 (assume t847.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))
% 48.55/48.76 (step t847.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk7)))
% 48.55/48.76 (step t847.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or :premises (t847.t1))
% 48.55/48.76 (step t847.t3 (cl (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t847.t2 t847.a0))
% 48.55/48.76 (step t847 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t847.a0))
% 48.55/48.76 (step t848 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t846 t847))
% 48.55/48.76 (step t849 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 48.55/48.76 (step t850 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t848 t849))
% 48.55/48.76 (step t851 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t850))
% 48.55/48.76 (step t852 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t841 t845 t851))
% 48.55/48.76 (step t853 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t852))
% 48.55/48.76 (step t854 (cl (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t853 t438))
% 48.55/48.76 (step t855 (cl (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t829 a194 t256 t399 t840 t854))
% 48.55/48.76 (step t856 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule or_pos)
% 48.55/48.76 (step t857 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule reordering :premises (t856))
% 48.55/48.76 (step t858 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t859)
% 48.55/48.76 (assume t859.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 48.55/48.76 (step t859.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.55/48.76 (step t859.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule or :premises (t859.t1))
% 48.55/48.76 (step t859.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t859.t2 t859.a0))
% 48.55/48.76 (step t859 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule subproof :discharge (t859.a0))
% 48.55/48.76 (step t860 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t858 t859))
% 48.55/48.76 (step t861 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule implies_neg2)
% 48.55/48.76 (step t862 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule resolution :premises (t860 t861))
% 48.55/48.76 (step t863 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule contraction :premises (t862))
% 48.55/48.76 (step t864 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule implies :premises (t863))
% 48.55/48.76 (step t865 (cl (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t864 a11))
% 48.55/48.76 (step t866 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule equiv_pos2)
% 48.55/48.76 (step t867 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 48.55/48.76 (step t868 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))))) :rule refl)
% 48.55/48.76 (step t869 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))))) :rule refl)
% 48.55/48.76 (step t870 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) :rule all_simplify)
% 48.55/48.76 (step t871 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule cong :premises (t868 t869 t870))
% 48.55/48.76 (step t872 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))))) :rule cong :premises (t867 t871))
% 48.55/48.76 (step t873 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t874)
% 48.55/48.76 (assume t874.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 48.55/48.76 (step t874.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk7)) (:= V (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (step t874.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule or :premises (t874.t1))
% 48.55/48.76 (step t874.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t874.t2 t874.a0))
% 48.55/48.76 (step t874 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t874.a0))
% 48.55/48.76 (step t875 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t873 t874))
% 48.55/48.76 (step t876 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 48.55/48.76 (step t877 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t875 t876))
% 48.55/48.76 (step t878 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t877))
% 48.55/48.76 (step t879 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t866 t872 t878))
% 48.55/48.76 (step t880 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t879))
% 48.55/48.76 (step t881 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t880 a119))
% 48.55/48.76 (step t882 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule resolution :premises (t857 t865 t792 t881))
% 48.55/48.76 (step t883 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule or_pos)
% 48.55/48.76 (step t884 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule reordering :premises (t883))
% 48.55/48.76 (step t885 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t886)
% 48.55/48.76 (assume t886.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 48.55/48.76 (step t886.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk7)) (:= V (tptp.skaf82 tptp.sk7))))
% 48.55/48.76 (step t886.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule or :premises (t886.t1))
% 48.55/48.76 (step t886.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t886.t2 t886.a0))
% 48.55/48.76 (step t886 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule subproof :discharge (t886.a0))
% 48.55/48.76 (step t887 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t885 t886))
% 48.55/48.76 (step t888 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule implies_neg2)
% 48.55/48.76 (step t889 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule resolution :premises (t887 t888))
% 48.55/48.76 (step t890 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule contraction :premises (t889))
% 48.55/48.76 (step t891 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies :premises (t890))
% 48.55/48.76 (step t892 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t891 t567))
% 48.55/48.76 (step t893 (cl (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t884 t865 t792 t892))
% 48.55/48.76 (step t894 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or_pos)
% 48.55/48.76 (step t895 (cl (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule reordering :premises (t894))
% 48.55/48.76 (step t896 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule equiv_pos2)
% 48.55/48.76 (step t897 (cl (= (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.55/48.76 (step t898 (cl (= (= tptp.nil tptp.sk7) (= tptp.nil tptp.sk7))) :rule refl)
% 48.55/48.76 (step t899 (cl (= (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule all_simplify)
% 48.55/48.76 (step t900 (cl (= (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t897 t405 t898 t899))
% 48.55/48.76 (step t901 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule cong :premises (t645 t900))
% 48.55/48.76 (step t902 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t903)
% 48.55/48.76 (assume t903.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 48.55/48.76 (step t903.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil)) (:= V tptp.sk7)))
% 48.55/48.76 (step t903.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule or :premises (t903.t1))
% 48.55/48.76 (step t903.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule resolution :premises (t903.t2 t903.a0))
% 48.55/48.76 (step t903 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule subproof :discharge (t903.a0))
% 48.55/48.76 (step t904 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule resolution :premises (t902 t903))
% 48.55/48.76 (step t905 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule implies_neg2)
% 48.55/48.76 (step t906 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule resolution :premises (t904 t905))
% 48.55/48.76 (step t907 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule contraction :premises (t906))
% 48.55/48.76 (step t908 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t896 t901 t907))
% 48.55/48.76 (step t909 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies :premises (t908))
% 48.55/48.76 (step t910 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t909 a122))
% 48.55/48.76 (step t911 (cl (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)) :rule or_pos)
% 48.55/48.76 (step t912 (cl (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule reordering :premises (t911))
% 48.55/48.76 (step t913 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t914)
% 48.55/48.76 (assume t914.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 48.55/48.76 (step t914.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.55/48.76 (step t914.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule or :premises (t914.t1))
% 48.55/48.76 (step t914.t3 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t914.t2 t914.a0))
% 48.55/48.76 (step t914 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule subproof :discharge (t914.a0))
% 48.55/48.76 (step t915 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t913 t914))
% 48.55/48.76 (step t916 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule implies_neg2)
% 48.55/48.76 (step t917 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule resolution :premises (t915 t916))
% 48.55/48.76 (step t918 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule contraction :premises (t917))
% 48.55/48.76 (step t919 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule implies :premises (t918))
% 48.55/48.76 (step t920 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t919 t617))
% 48.55/48.76 (step t921 (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))) (= tptp.nil tptp.sk7) (= tptp.nil tptp.sk7)) :rule resolution :premises (t767 t827 t855 t525 t569 t580 t882 t893 t619 t630 t659 t235 t895 t247 t910 a194 t912 t920 a194))
% 48.55/48.76 (step t922 (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))) (= tptp.nil tptp.sk7)) :rule contraction :premises (t921))
% 48.55/48.76 (step t923 (cl (= tptp.nil tptp.sk7) (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 reordering :premises (t922))
% 48.55/48.76 (step t924 (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 resolution :premises (t193 t440 t503 t525 t539 t569 t580 t619 t630 t641 t659 t670 t235 t923))
% 48.55/48.76 (step t925 (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 (t924))
% 48.55/48.76 (step t926 (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 $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t927)
% 48.55/48.76 (assume t927.a0 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))))
% 48.55/48.76 (step t927.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))
% 48.55/48.76 (step t927.t2 (cl (not (forall ((U $$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 (t927.t1))
% 48.55/48.76 (step t927.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 (t927.t2 t927.a0))
% 48.55/48.76 (step t927 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule subproof :discharge (t927.a0))
% 48.55/48.76 (step t928 (cl (=> (forall ((U $$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 (t926 t927))
% 48.55/48.76 (step t929 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) (not (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t930 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil))))) :rule resolution :premises (t928 t929))
% 48.55/48.76 (step t931 (cl (=> (forall ((U $$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 (t930))
% 48.55/48.76 (step t932 (cl (not (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule implies :premises (t931))
% 48.55/48.76 (step t933 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t934 :args ((U $$unsorted) (:= U U)))
% 48.55/48.76 (step t934.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t934.t2 (cl (= (not (tptp.singletonP U)) (not (tptp.singletonP U)))) :rule refl)
% 48.55/48.76 (step t934.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t934.t4 (cl (= (= (tptp.cons (tptp.skaf44 U) tptp.nil) U) (= U (tptp.cons (tptp.skaf44 U) tptp.nil)))) :rule all_simplify)
% 48.55/48.76 (step t934.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 (t934.t2 t934.t3 t934.t4))
% 48.55/48.76 (step t934 (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)
% 48.55/48.76 (step t935 (cl (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf44 U) tptp.nil))))) :rule resolution :premises (t933 t934 a100))
% 48.55/48.76 (step t936 (cl (or (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf44 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) tptp.nil)))) :rule resolution :premises (t932 t935))
% 48.55/48.76 (step t937 (cl (not (tptp.singletonP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t82 t88 t925 t936))
% 48.55/48.76 (step t938 (cl (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t80 t937))
% 48.55/48.76 (step t939 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t940)
% 48.55/48.76 (assume t940.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 48.55/48.76 (step t940.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk4)))
% 48.55/48.76 (step t940.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule or :premises (t940.t1))
% 48.55/48.76 (step t940.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t940.t2 t940.a0))
% 48.55/48.76 (step t940 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t940.a0))
% 48.55/48.76 (step t941 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule resolution :premises (t939 t940))
% 48.55/48.76 (step t942 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 48.55/48.76 (step t943 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t941 t942))
% 48.55/48.76 (step t944 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t943))
% 48.55/48.76 (step t945 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule implies :premises (t944))
% 48.55/48.76 (step t946 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t947 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.55/48.76 (step t947.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t947.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t947.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t947.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t947.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 48.55/48.76 (step t947.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 48.55/48.76 (step t947.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t947.t3 t947.t4 t947.t5 t947.t6))
% 48.55/48.76 (step t947 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 48.55/48.76 (step t948 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t946 t947 a99))
% 48.55/48.76 (step t949 (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 (t945 t948))
% 48.55/48.76 (step t950 (cl (= tptp.nil tptp.sk4)) :rule resolution :premises (t62 t938 a7 a188 t949))
% 48.55/48.76 (step t951 (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)
% 48.55/48.76 (step t952 (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 (t951))
% 48.55/48.76 (step t953 (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)
% 48.55/48.76 (step t954 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 48.55/48.76 (step t955 (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))
% 48.55/48.76 (step t956 (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 (t954 t955))
% 48.55/48.76 (step t957 (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 (t953 t956 a191))
% 48.55/48.76 (step t958 (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)
% 48.55/48.76 (step t959 (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 (t958))
% 48.55/48.76 (step t960 (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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule implies_neg1)
% 48.55/48.76 (anchor :step t961)
% 48.55/48.76 (assume t961.a0 (forall ((U $$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))))
% 48.55/48.76 (step t961.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W tptp.sk8)))
% 48.55/48.76 (step t961.t2 (cl (not (forall ((U $$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 (t961.t1))
% 48.55/48.76 (step t961.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 (t961.t2 t961.a0))
% 48.55/48.76 (step t961 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t961.a0))
% 48.55/48.76 (step t962 (cl (=> (forall ((U $$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 (t960 t961))
% 48.55/48.76 (step t963 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.55/48.76 (step t964 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t962 t963))
% 48.55/48.76 (step t965 (cl (=> (forall ((U $$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 (t964))
% 48.55/48.76 (step t966 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t965))
% 48.55/48.76 (step t967 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V)))) :rule equiv_pos2)
% 48.55/48.76 (anchor :step t968 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X)))
% 48.55/48.76 (step t968.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t968.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t968.t3 (cl (= W W)) :rule refl)
% 48.55/48.76 (step t968.t4 (cl (= X X)) :rule refl)
% 48.55/48.76 (step t968.t5 (cl (= (= (tptp.app (tptp.app U V) W) X) (= X (tptp.app (tptp.app U V) W)))) :rule all_simplify)
% 48.55/48.76 (step t968.t6 (cl (= (not (= (tptp.app (tptp.app U V) W) X)) (not (= X (tptp.app (tptp.app U V) W))))) :rule cong :premises (t968.t5))
% 48.55/48.76 (step t968.t7 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 48.55/48.76 (step t968.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t968.t9 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t968.t10 (cl (= (not (tptp.ssList X)) (not (tptp.ssList X)))) :rule refl)
% 48.55/48.76 (step t968.t11 (cl (= (tptp.segmentP X V) (tptp.segmentP X V))) :rule refl)
% 48.55/48.76 (step t968.t12 (cl (= (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V)) (or (not (= X (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V)))) :rule cong :premises (t968.t6 t968.t7 t968.t8 t968.t9 t968.t10 t968.t11))
% 48.55/48.76 (step t968 (cl (= (forall ((U $$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 $$unsorted)) (or (not (= X (tptp.app (tptp.app U V) W))) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))) :rule bind)
% 48.55/48.76 (step t969 (cl (= (forall ((U $$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)
% 48.55/48.76 (anchor :step t970 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 48.55/48.76 (step t970.t1 (cl (= U U)) :rule refl)
% 48.55/48.76 (step t970.t2 (cl (= V V)) :rule refl)
% 48.55/48.76 (step t970.t3 (cl (= W W)) :rule refl)
% 48.55/48.76 (step t970.t4 (cl (= (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W)) true)) :rule all_simplify)
% 48.55/48.76 (step t970.t5 (cl (= (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) (not true))) :rule cong :premises (t970.t4))
% 48.55/48.76 (step t970.t6 (cl (= (not true) false)) :rule all_simplify)
% 48.55/48.76 (step t970.t7 (cl (= (not (= (tptp.app (tptp.app U V) W) (tptp.app (tptp.app U V) W))) false)) :rule trans :premises (t970.t5 t970.t6))
% 48.55/48.76 (step t970.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 48.55/48.76 (step t970.t9 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.55/48.76 (step t970.t10 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.55/48.76 (step t970.t11 (cl (= (not (tptp.ssList (tptp.app (tptp.app U V) W))) (not (tptp.ssList (tptp.app (tptp.app U V) W))))) :rule refl)
% 48.55/48.76 (step t970.t12 (cl (= (tptp.segmentP (tptp.app (tptp.app U V) W) V) (tptp.segmentP (tptp.app (tptp.app U V) W) V))) :rule refl)
% 48.55/48.76 (step t970.t13 (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 (t970.t7 t970.t8 t970.t9 t970.t10 t970.t11 t970.t12))
% 48.55/48.76 (step t970.t14 (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)
% 48.55/48.76 (step t970.t15 (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 (t970.t13 t970.t14))
% 48.55/48.76 (step t970 (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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule bind)
% 48.55/48.76 (step t971 (cl (= (forall ((U $$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 (t969 t970))
% 48.55/48.76 (step t972 (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 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList (tptp.app (tptp.app U V) W))) (tptp.segmentP (tptp.app (tptp.app U V) W) V))))) :rule trans :premises (t968 t971))
% 48.55/48.76 (step t973 (cl (forall ((U $$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 (t967 t972 a172))
% 48.55/48.76 (step t974 (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 (t966 t973))
% 48.55/48.76 (step t975 (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 (t959 t88 a195 t246 t256 t974))
% 48.55/48.76 (step t976 (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)
% 48.55/48.76 (anchor :step t977)
% 48.55/48.76 (assume t977.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 48.55/48.76 (step t977.t1 (cl (or (not (forall ((U $$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))))
% 48.55/48.76 (step t977.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t977.t1))
% 48.55/48.76 (step t977.t3 (cl (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t977.t2 t977.a0))
% 48.55/48.76 (step t977 (cl (not (forall ((U $$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 (t977.a0))
% 48.55/48.76 (step t978 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t976 t977))
% 48.55/48.76 (step t979 (cl (=> (forall ((U $$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)
% 48.55/48.76 (step t980 (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 (t978 t979))
% 48.55/48.76 (step t981 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (or (not (tptp.segmentP tptp.sk4 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk4)) (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t980))
% 48.55/48.76 (step t982 (cl (not (forall ((U $$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 (t981))
% 48.55/48.76 (step t983 (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 (t982 a151))
% 48.55/48.76 (step t984 (cl (tptp.segmentP tptp.sk4 (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t952 t88 a188 t957 t246 t975 t983))
% 48.55/48.76 (step t985 (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)
% 48.55/48.76 (step t986 (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 (t985))
% 48.55/48.76 (step t987 (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)
% 48.55/48.76 (anchor :step t988)
% 48.55/48.76 (assume t988.a0 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.55/48.76 (step t988.t1 (cl (or (not (forall ((U $$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))))
% 48.55/48.76 (step t988.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t988.t1))
% 48.55/48.76 (step t988.t3 (cl (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t988.t2 t988.a0))
% 48.55/48.76 (step t988 (cl (not (forall ((U $$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 (t988.a0))
% 48.55/48.76 (step t989 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t987 t988))
% 48.55/48.76 (step t990 (cl (=> (forall ((U $$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)
% 48.55/48.76 (step t991 (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 (t989 t990))
% 48.55/48.76 (step t992 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t991))
% 48.55/48.76 (step t993 (cl (not (forall ((U $$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 (t992))
% 48.55/48.76 (step t994 (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 (t993 a79))
% 48.55/48.76 (step t995 (cl (not (tptp.segmentP tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t986 t246 t389 t994))
% 48.55/48.76 (step t996 (cl) :rule resolution :premises (t60 t950 t984 t995))
% 48.55/48.76
% 48.55/48.77 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.JDIczHXGXY/cvc5---1.0.5_12657.smt2
% 48.55/48.77 % cvc5---1.0.5 exiting
% 48.55/48.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------