TSTP Solution File: SWC099-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC099-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n006.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 18:00:22 EDT 2024
% Result : Unsatisfiable 76.67s 76.92s
% Output : Proof 76.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC099-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 26 15:52:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.39/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.51/10.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.51/15.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.75 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.55/25.77 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.53/30.81 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.62/35.86 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.62/40.89 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.69/45.92 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.74/50.95 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.75/56.01 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.83/61.04 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.89/66.13 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.93/76.17 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.67/76.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.RxTqO5ZZf8/cvc5---1.0.5_13345.smt2
% 76.67/76.92 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.RxTqO5ZZf8/cvc5---1.0.5_13345.smt2
% 76.75/76.96 (assume a0 (tptp.equalelemsP tptp.nil))
% 76.75/76.96 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 76.75/76.96 (assume a2 (tptp.strictorderedP tptp.nil))
% 76.75/76.96 (assume a3 (tptp.totalorderedP tptp.nil))
% 76.75/76.96 (assume a4 (tptp.strictorderP tptp.nil))
% 76.75/76.96 (assume a5 (tptp.totalorderP tptp.nil))
% 76.75/76.96 (assume a6 (tptp.cyclefreeP tptp.nil))
% 76.75/76.96 (assume a7 (tptp.ssList tptp.nil))
% 76.75/76.96 (assume a8 (tptp.ssItem tptp.skac3))
% 76.75/76.96 (assume a9 (tptp.ssItem tptp.skac2))
% 76.75/76.96 (assume a10 (not (tptp.singletonP tptp.nil)))
% 76.75/76.96 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.75/76.96 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.75/76.96 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 76.75/76.96 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 76.75/76.96 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 76.75/76.96 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 76.75/76.96 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 76.75/76.96 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 76.75/76.96 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 76.75/76.96 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 76.75/76.96 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 76.75/76.96 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 76.75/76.96 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 76.75/76.96 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 76.75/76.96 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 76.75/76.96 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 76.75/76.96 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 76.75/76.96 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 76.75/76.96 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 76.75/76.96 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 76.75/76.96 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 76.75/76.96 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 76.75/76.96 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 76.75/76.96 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 76.75/76.96 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 76.75/76.96 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 76.75/76.96 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 76.75/76.96 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 76.75/76.96 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 76.75/76.96 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 76.75/76.96 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 76.75/76.96 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 76.75/76.96 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 76.75/76.96 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 76.75/76.96 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 76.75/76.96 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 76.75/76.96 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 76.75/76.96 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 76.75/76.96 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 76.75/76.96 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 76.75/76.96 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 76.75/76.96 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 76.75/76.96 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 76.75/76.96 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 76.75/76.96 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.75/76.96 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 76.75/76.96 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 76.75/76.96 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 76.75/76.96 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 76.75/76.96 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 76.75/76.96 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 76.75/76.96 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 76.75/76.96 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 76.75/76.96 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 76.75/76.96 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 76.75/76.96 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 76.75/76.96 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.75/76.96 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.75/76.96 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.75/76.96 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.75/76.96 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 76.75/76.96 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.75/76.96 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 76.75/76.96 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.75/76.96 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 76.75/76.96 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.75/76.96 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 76.75/76.96 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.75/76.96 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 76.75/76.96 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 76.75/76.96 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 76.75/76.96 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 76.75/76.96 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 76.75/76.96 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.75/76.96 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.75/76.96 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.75/76.96 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.75/76.96 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 76.75/76.96 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 76.75/76.96 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.75/76.96 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.75/76.96 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 76.75/76.96 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 76.75/76.96 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 76.75/76.96 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 76.75/76.96 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 76.75/76.96 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.75/76.96 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.75/76.96 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 76.75/76.96 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 76.75/76.96 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.75/76.96 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 76.75/76.96 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 76.75/76.96 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.75/76.96 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.75/76.96 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 76.75/76.96 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.75/76.96 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.75/76.96 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.75/76.96 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 76.75/76.96 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 76.75/76.96 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 76.75/76.96 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.75/76.96 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.75/76.96 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.75/76.96 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.75/76.96 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.75/76.96 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 76.75/76.96 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 76.75/76.96 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 76.75/76.96 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 76.75/76.96 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 76.75/76.96 (assume a135 (forall ((U $$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))))
% 76.75/76.96 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 76.75/76.96 (assume a137 (forall ((U $$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))))
% 76.75/76.96 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 76.75/76.96 (assume a139 (forall ((U $$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))))
% 76.75/76.96 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 76.75/76.96 (assume a141 (forall ((U $$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))))
% 76.75/76.96 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 76.75/76.96 (assume a143 (forall ((U $$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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 76.75/76.96 (assume a146 (forall ((U $$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))))
% 76.75/76.96 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 76.75/76.96 (assume a148 (forall ((U $$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))))))
% 76.75/76.96 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 76.75/76.96 (assume a150 (forall ((U $$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))))
% 76.75/76.96 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 76.75/76.96 (assume a152 (forall ((U $$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))))
% 76.75/76.96 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 76.75/76.96 (assume a154 (forall ((U $$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))))
% 76.75/76.96 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 76.75/76.96 (assume a156 (forall ((U $$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)))))
% 76.75/76.96 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 76.75/76.96 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.75/76.96 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.75/76.96 (assume a160 (forall ((U $$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))))
% 76.75/76.96 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 76.75/76.96 (assume a162 (forall ((U $$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))))
% 76.75/76.96 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 76.75/76.96 (assume a164 (forall ((U $$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))))
% 76.75/76.96 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 76.75/76.96 (assume a166 (forall ((U $$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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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)))))
% 76.75/76.96 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 76.75/76.96 (assume a179 (forall ((U $$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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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))))
% 76.75/76.96 (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)))))
% 76.75/76.96 (assume a185 (tptp.ssList tptp.sk1))
% 76.75/76.96 (assume a186 (tptp.ssList tptp.sk2))
% 76.75/76.96 (assume a187 (tptp.ssList tptp.sk3))
% 76.75/76.96 (assume a188 (tptp.ssList tptp.sk4))
% 76.75/76.96 (assume a189 (= tptp.sk2 tptp.sk4))
% 76.75/76.96 (assume a190 (= tptp.sk1 tptp.sk3))
% 76.75/76.96 (assume a191 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.75/76.96 (assume a192 (tptp.equalelemsP tptp.sk3))
% 76.75/76.96 (assume a193 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))))
% 76.75/76.96 (assume a194 (or (= tptp.nil tptp.sk2) (tptp.neq tptp.sk2 tptp.nil)))
% 76.75/76.96 (assume a195 (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1))))
% 76.75/76.96 (assume a196 (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)))
% 76.75/76.96 (assume a197 (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1))))
% 76.75/76.96 (step t1 (cl (not (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.75/76.96 (step t2 (cl (= (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule refl)
% 76.75/76.96 (step t3 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 76.75/76.96 (step t4 (cl (= (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule refl)
% 76.75/76.96 (step t5 (cl (= (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule refl)
% 76.75/76.96 (step t6 (cl (= (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true) (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.75/76.96 (step t7 (cl (not (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t6))
% 76.75/76.96 (step t8 (cl (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))))) :rule all_simplify)
% 76.75/76.96 (step t9 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule refl)
% 76.75/76.96 (step t10 (cl (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.75/76.96 (step t11 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule cong :premises (t9 t10))
% 76.75/76.96 (step t12 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) :rule all_simplify)
% 76.75/76.96 (step t13 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) true)) :rule trans :premises (t11 t12))
% 76.75/76.96 (step t14 (cl (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) :rule trans :premises (t8 t13))
% 76.75/76.96 (step t15 (cl (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t7 t14))
% 76.75/76.96 (step t16 (cl (= (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.75/76.96 (step t17 (cl (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t2 t3 t4 t5 t15 t16))
% 76.75/76.96 (step t18 (cl (not (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.75/76.96 (step t19 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.75/76.96 (step t20 (cl (= (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv_simplify)
% 76.75/76.96 (step t21 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv2 :premises (t20))
% 76.75/76.96 (step t22 (cl (not (not (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule not_not)
% 76.75/76.96 (step t23 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t21 t22))
% 76.75/76.96 (step t24 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t25)
% 76.75/76.96 (assume t25.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 76.75/76.96 (assume t25.a1 (= tptp.nil tptp.sk3))
% 76.75/76.96 (assume t25.a2 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 76.75/76.96 (assume t25.a3 (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.75/76.96 (step t25.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 76.75/76.96 (step t25.t2 (cl (= (= false true) false)) :rule all_simplify)
% 76.75/76.96 (step t25.t3 (cl (= (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.75/76.96 (step t25.t4 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t25.t3))
% 76.75/76.96 (step t25.t5 (cl (not (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule not_not)
% 76.75/76.96 (step t25.t6 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t25.t4 t25.t5))
% 76.75/76.96 (step t25.t7 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t25.t6 t25.a3))
% 76.75/76.96 (step t25.t8 (cl (= false (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule symm :premises (t25.t7))
% 76.75/76.96 (step t25.t9 (cl (= (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.75/76.96 (step t25.t10 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t25.t9))
% 76.75/76.96 (step t25.t11 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t25.a0))
% 76.75/76.96 (step t25.t12 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule symm :premises (t25.t11))
% 76.75/76.96 (step t25.t13 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule symm :premises (t25.a2))
% 76.75/76.96 (step t25.t14 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t25.a1))
% 76.75/76.96 (step t25.t15 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil tptp.nil))) :rule trans :premises (t25.t13 t25.t14 t25.t12))
% 76.75/76.96 (step t25.t16 (cl (= (tptp.app tptp.nil tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule symm :premises (t25.t15))
% 76.75/76.96 (step t25.t17 (cl (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule trans :premises (t25.t12 t25.t16))
% 76.75/76.96 (step t25.t18 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t25.t10 t25.t17))
% 76.75/76.96 (step t25.t19 (cl (= false true)) :rule trans :premises (t25.t8 t25.t18))
% 76.75/76.96 (step t25.t20 (cl false) :rule resolution :premises (t25.t1 t25.t2 t25.t19))
% 76.75/76.96 (step t25 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) :rule subproof :discharge (t25.a0 t25.a1 t25.a2 t25.a3))
% 76.75/76.96 (step t26 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t27 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t28 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t29 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.75/76.96 (step t30 (cl false (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t25 t26 t27 t28 t29))
% 76.75/76.96 (step t31 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule reordering :premises (t30))
% 76.75/76.96 (step t32 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule contraction :premises (t31))
% 76.75/76.96 (step t33 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) false) :rule resolution :premises (t24 t32))
% 76.75/76.96 (step t34 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not false)) :rule implies_neg2)
% 76.75/76.96 (step t35 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t33 t34))
% 76.75/76.96 (step t36 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule contraction :premises (t35))
% 76.75/76.96 (step t37 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule implies_simplify)
% 76.75/76.96 (step t38 (cl (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule equiv1 :premises (t37))
% 76.75/76.96 (step t39 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t36 t38))
% 76.75/76.96 (step t40 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t23 t39))
% 76.75/76.96 (step t41 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false))) :rule cong :premises (t19 t40))
% 76.75/76.96 (step t42 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule all_simplify)
% 76.75/76.96 (step t43 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule trans :premises (t41 t42))
% 76.75/76.96 (step t44 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t45)
% 76.75/76.96 (assume t45.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 76.75/76.96 (assume t45.a1 (= tptp.nil tptp.sk3))
% 76.75/76.96 (assume t45.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t45.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.75/76.96 (assume t45.a4 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.75/76.96 (assume t45.a5 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 76.75/76.96 (step t45.t1 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule and_neg)
% 76.75/76.96 (step t45.t2 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t45.t3)
% 76.75/76.96 (assume t45.t3.a0 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.75/76.96 (assume t45.t3.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.75/76.96 (assume t45.t3.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t45.t3.t1 (cl (= (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.75/76.96 (step t45.t3.t2 (cl (not (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t45.t3.t1))
% 76.75/76.96 (step t45.t3.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t45.t3.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t45.t3.a2))
% 76.75/76.96 (step t45.t3.t5 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t45.t3.t4))
% 76.75/76.96 (step t45.t3.t6 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t45.t3.t5))
% 76.75/76.96 (step t45.t3.t7 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t45.t3.a1))
% 76.75/76.96 (step t45.t3.t8 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t45.t3.t6 t45.t3.t7))
% 76.75/76.96 (step t45.t3.t9 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t45.t3.t8 t45.t3.t3))
% 76.75/76.96 (step t45.t3.t10 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t45.t3.t3 t45.t3.t9))
% 76.75/76.96 (step t45.t3.t11 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.75/76.96 (step t45.t3.t12 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t45.t3.t11))
% 76.75/76.96 (step t45.t3.t13 (cl (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule not_not)
% 76.75/76.96 (step t45.t3.t14 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t45.t3.t12 t45.t3.t13))
% 76.75/76.96 (step t45.t3.t15 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t45.t3.t14 t45.t3.a0))
% 76.75/76.96 (step t45.t3.t16 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t45.t3.t10 t45.t3.t15))
% 76.75/76.96 (step t45.t3.t17 (cl (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t45.t3.t2 t45.t3.t16))
% 76.75/76.96 (step t45.t3 (cl (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t45.t3.a0 t45.t3.a1 t45.t3.a2))
% 76.75/76.96 (step t45.t4 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.75/76.96 (step t45.t5 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.75/76.96 (step t45.t6 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t45.t7 (cl (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t45.t3 t45.t4 t45.t5 t45.t6))
% 76.75/76.96 (step t45.t8 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t45.t7))
% 76.75/76.96 (step t45.t9 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t45.t8))
% 76.75/76.96 (step t45.t10 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t45.t2 t45.t9))
% 76.75/76.96 (step t45.t11 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.75/76.96 (step t45.t12 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t45.t10 t45.t11))
% 76.75/76.96 (step t45.t13 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t45.t12))
% 76.75/76.96 (step t45.t14 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t45.t13))
% 76.75/76.96 (step t45.t15 (cl (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.75/76.96 (step t45.t16 (cl (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t45.t15 t45.a4 t45.a3 t45.a2))
% 76.75/76.96 (step t45.t17 (cl (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t45.t14 t45.t16))
% 76.75/76.96 (step t45.t18 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t45.t1 t45.a0 t45.a1 t45.a5 t45.t17))
% 76.75/76.96 (step t45 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t45.a0 t45.a1 t45.a2 t45.a3 t45.a4 t45.a5))
% 76.75/76.96 (step t46 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t47 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t48 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t49 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.75/76.96 (step t50 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.75/76.96 (step t51 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t52 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t45 t46 t47 t48 t49 t50 t51))
% 76.75/76.96 (step t53 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t52))
% 76.75/76.96 (step t54 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t53))
% 76.75/76.96 (step t55 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t44 t54))
% 76.75/76.96 (step t56 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.75/76.96 (step t57 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t55 t56))
% 76.75/76.96 (step t58 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t57))
% 76.75/76.96 (step t59 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t18 t43 t58))
% 76.75/76.96 (step t60 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule not_and :premises (t59))
% 76.75/76.96 (step t61 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule or_neg)
% 76.75/76.96 (step t62 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.nil tptp.sk3)))) :rule or_neg)
% 76.75/76.96 (step t63 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or_neg)
% 76.75/76.96 (step t64 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule or_neg)
% 76.75/76.96 (step t65 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))))) :rule or_neg)
% 76.75/76.96 (step t66 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or_neg)
% 76.75/76.96 (step t67 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t60 t61 t62 t63 t64 t65 t66))
% 76.75/76.96 (step t68 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t67))
% 76.75/76.96 (step t69 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t1 t17 t68))
% 76.75/76.96 (step t70 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t69))
% 76.75/76.96 (step t71 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.75/76.96 (step t72 (cl (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t71))
% 76.75/76.96 (step t73 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.75/76.96 (step t74 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t75)
% 76.75/76.96 (assume t75.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t75.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.75/76.96 (assume t75.a2 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.75/76.96 (step t75.t1 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t75.t2)
% 76.75/76.96 (assume t75.t2.a0 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.75/76.96 (assume t75.t2.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.75/76.96 (assume t75.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t75.t2.t1 (cl (= (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.75/76.96 (step t75.t2.t2 (cl (not (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule equiv1 :premises (t75.t2.t1))
% 76.75/76.96 (step t75.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t75.t2.a2))
% 76.75/76.96 (step t75.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t75.t2.t3))
% 76.75/76.96 (step t75.t2.t5 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t75.t2.t4))
% 76.75/76.96 (step t75.t2.t6 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t75.t2.a1))
% 76.75/76.96 (step t75.t2.t7 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t75.t2.t5 t75.t2.t6))
% 76.75/76.96 (step t75.t2.t8 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t75.t2.t9 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t75.t2.t7 t75.t2.t8))
% 76.75/76.96 (step t75.t2.t10 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t75.t2.t9))
% 76.75/76.96 (step t75.t2.t11 (cl (= (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.75/76.96 (step t75.t2.t12 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t75.t2.t11))
% 76.75/76.96 (step t75.t2.t13 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t75.t2.t12 t75.t2.a0))
% 76.75/76.96 (step t75.t2.t14 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t75.t2.t10 t75.t2.t13))
% 76.75/76.96 (step t75.t2.t15 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t75.t2.t2 t75.t2.t14))
% 76.75/76.96 (step t75.t2 (cl (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t75.t2.a0 t75.t2.a1 t75.t2.a2))
% 76.75/76.96 (step t75.t3 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t75.t4 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.75/76.96 (step t75.t5 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t75.t6 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t75.t2 t75.t3 t75.t4 t75.t5))
% 76.75/76.96 (step t75.t7 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t75.t6))
% 76.75/76.96 (step t75.t8 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t75.t7))
% 76.75/76.96 (step t75.t9 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t75.t1 t75.t8))
% 76.75/76.96 (step t75.t10 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.75/76.96 (step t75.t11 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t75.t9 t75.t10))
% 76.75/76.96 (step t75.t12 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t75.t11))
% 76.75/76.96 (step t75.t13 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t75.t12))
% 76.75/76.96 (step t75.t14 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.75/76.96 (step t75.t15 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t75.t14 t75.a2 t75.a1 t75.a0))
% 76.75/76.96 (step t75.t16 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t75.t13 t75.t15))
% 76.75/76.96 (step t75 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t75.a0 t75.a1 t75.a2))
% 76.75/76.96 (step t76 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t77 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.75/76.96 (step t78 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t79 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t75 t76 t77 t78))
% 76.75/76.96 (step t80 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t79))
% 76.75/76.96 (step t81 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t80))
% 76.75/76.96 (step t82 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t74 t81))
% 76.75/76.96 (step t83 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.75/76.96 (step t84 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t82 t83))
% 76.75/76.96 (step t85 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t84))
% 76.75/76.96 (step t86 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t85))
% 76.75/76.96 (step t87 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t73 t86))
% 76.75/76.96 (step t88 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule reordering :premises (t87))
% 76.75/76.96 (step t89 (cl (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)) :rule or_pos)
% 76.75/76.96 (step t90 (cl (= tptp.nil tptp.sk4) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t89))
% 76.75/76.96 (step t91 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.75/76.96 (step t92 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t93)
% 76.75/76.96 (assume t93.a0 (tptp.neq tptp.sk4 tptp.nil))
% 76.75/76.96 (assume t93.a1 (= tptp.nil tptp.sk4))
% 76.75/76.96 (assume t93.a2 (= tptp.nil tptp.sk3))
% 76.75/76.96 (step t93.t1 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t93.t2)
% 76.75/76.96 (assume t93.t2.a0 (tptp.neq tptp.sk4 tptp.nil))
% 76.75/76.96 (assume t93.t2.a1 (= tptp.nil tptp.sk4))
% 76.75/76.96 (assume t93.t2.a2 (= tptp.nil tptp.sk3))
% 76.75/76.96 (step t93.t2.t1 (cl (= (= (tptp.neq tptp.sk3 tptp.nil) true) (tptp.neq tptp.sk3 tptp.nil))) :rule equiv_simplify)
% 76.75/76.96 (step t93.t2.t2 (cl (not (= (tptp.neq tptp.sk3 tptp.nil) true)) (tptp.neq tptp.sk3 tptp.nil)) :rule equiv1 :premises (t93.t2.t1))
% 76.75/76.96 (step t93.t2.t3 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t93.t2.a2))
% 76.75/76.96 (step t93.t2.t4 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t93.t2.a1))
% 76.75/76.96 (step t93.t2.t5 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t93.t2.t4))
% 76.75/76.96 (step t93.t2.t6 (cl (= tptp.sk3 tptp.sk4)) :rule trans :premises (t93.t2.t3 t93.t2.t5))
% 76.75/76.96 (step t93.t2.t7 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t93.t2.t8 (cl (= (tptp.neq tptp.sk3 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t93.t2.t6 t93.t2.t7))
% 76.75/76.96 (step t93.t2.t9 (cl (= (= (tptp.neq tptp.sk4 tptp.nil) true) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_simplify)
% 76.75/76.96 (step t93.t2.t10 (cl (= (tptp.neq tptp.sk4 tptp.nil) true) (not (tptp.neq tptp.sk4 tptp.nil))) :rule equiv2 :premises (t93.t2.t9))
% 76.75/76.96 (step t93.t2.t11 (cl (= (tptp.neq tptp.sk4 tptp.nil) true)) :rule resolution :premises (t93.t2.t10 t93.t2.a0))
% 76.75/76.96 (step t93.t2.t12 (cl (= (tptp.neq tptp.sk3 tptp.nil) true)) :rule trans :premises (t93.t2.t8 t93.t2.t11))
% 76.75/76.96 (step t93.t2.t13 (cl (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t93.t2.t2 t93.t2.t12))
% 76.75/76.96 (step t93.t2 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) :rule subproof :discharge (t93.t2.a0 t93.t2.a1 t93.t2.a2))
% 76.75/76.96 (step t93.t3 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 76.75/76.96 (step t93.t4 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.75/76.96 (step t93.t5 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t93.t6 (cl (tptp.neq tptp.sk3 tptp.nil) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t93.t2 t93.t3 t93.t4 t93.t5))
% 76.75/76.96 (step t93.t7 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule reordering :premises (t93.t6))
% 76.75/76.96 (step t93.t8 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule contraction :premises (t93.t7))
% 76.75/76.96 (step t93.t9 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t93.t1 t93.t8))
% 76.75/76.96 (step t93.t10 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule implies_neg2)
% 76.75/76.96 (step t93.t11 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t93.t9 t93.t10))
% 76.75/76.96 (step t93.t12 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule contraction :premises (t93.t11))
% 76.75/76.96 (step t93.t13 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule implies :premises (t93.t12))
% 76.75/76.96 (step t93.t14 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.75/76.96 (step t93.t15 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule resolution :premises (t93.t14 t93.a0 t93.a1 t93.a2))
% 76.75/76.96 (step t93.t16 (cl (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t93.t13 t93.t15))
% 76.75/76.96 (step t93 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) :rule subproof :discharge (t93.a0 t93.a1 t93.a2))
% 76.75/76.96 (step t94 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 76.75/76.96 (step t95 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.75/76.96 (step t96 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t97 (cl (tptp.neq tptp.sk3 tptp.nil) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t93 t94 t95 t96))
% 76.75/76.96 (step t98 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule reordering :premises (t97))
% 76.75/76.96 (step t99 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule contraction :premises (t98))
% 76.75/76.96 (step t100 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t92 t99))
% 76.75/76.96 (step t101 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule implies_neg2)
% 76.75/76.96 (step t102 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t100 t101))
% 76.75/76.96 (step t103 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule contraction :premises (t102))
% 76.75/76.96 (step t104 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule implies :premises (t103))
% 76.75/76.96 (step t105 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t91 t104))
% 76.75/76.96 (step t106 (cl (tptp.neq tptp.sk3 tptp.nil) (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule reordering :premises (t105))
% 76.75/76.96 (step t107 (cl (not (= (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1))) (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3))))) (not (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1)))) (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)))) :rule equiv_pos2)
% 76.75/76.96 (step t108 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t109 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 76.75/76.96 (step t110 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t109 a190 a189))
% 76.75/76.96 (step t111 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t110))
% 76.75/76.96 (step t112 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t108 t111))
% 76.75/76.96 (step t113 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t112))
% 76.75/76.96 (step t114 (cl (= (tptp.neq tptp.sk1 tptp.nil) (tptp.neq tptp.sk3 tptp.nil))) :rule cong :premises (t111 t108))
% 76.75/76.96 (step t115 (cl (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) :rule cong :premises (t114))
% 76.75/76.96 (step t116 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t110))
% 76.75/76.96 (step t117 (cl (= (tptp.frontsegP tptp.sk2 tptp.sk1) (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule cong :premises (t116 t111))
% 76.75/76.96 (step t118 (cl (= (not (tptp.frontsegP tptp.sk2 tptp.sk1)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)))) :rule cong :premises (t117))
% 76.75/76.96 (step t119 (cl (= (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1))) (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3))))) :rule cong :premises (t113 t115 t118))
% 76.75/76.96 (step t120 (cl (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)))) :rule resolution :premises (t107 t119 a197))
% 76.75/76.96 (step t121 (cl (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule or :premises (t120))
% 76.75/76.96 (step t122 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t121))
% 76.75/76.96 (step t123 (cl (not (= (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)))) (not (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil))) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_pos2)
% 76.75/76.96 (step t124 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t125 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t110))
% 76.75/76.96 (step t126 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t124 t125))
% 76.75/76.96 (step t127 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t126))
% 76.75/76.96 (step t128 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t110))
% 76.75/76.96 (step t129 (cl (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t128 t124))
% 76.75/76.96 (step t130 (cl (= (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)))) :rule cong :premises (t127 t129))
% 76.75/76.96 (step t131 (cl (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t123 t130 a196))
% 76.75/76.96 (step t132 (cl (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)) :rule or :premises (t131))
% 76.75/76.96 (step t133 (cl (tptp.neq tptp.sk4 tptp.nil) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t132))
% 76.75/76.96 (step t134 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t106 t122 a191 t133))
% 76.75/76.96 (step t135 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t134))
% 76.75/76.96 (step t136 (cl (not (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)) :rule or_pos)
% 76.75/76.96 (step t137 (cl (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t136))
% 76.75/76.96 (step t138 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t139)
% 76.75/76.96 (assume t139.a0 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.75/76.96 (step t139.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 76.75/76.96 (step t139.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule or :premises (t139.t1))
% 76.75/76.96 (step t139.t3 (cl (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t139.t2 t139.a0))
% 76.75/76.96 (step t139 (cl (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t139.a0))
% 76.75/76.96 (step t140 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t138 t139))
% 76.75/76.96 (step t141 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 76.75/76.96 (step t142 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t140 t141))
% 76.75/76.96 (step t143 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t142))
% 76.75/76.96 (step t144 (cl (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule implies :premises (t143))
% 76.75/76.96 (step t145 (cl (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t144 a83))
% 76.75/76.96 (step t146 (cl (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 76.75/76.96 (step t147 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t148)
% 76.75/76.96 (assume t148.a0 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.75/76.96 (assume t148.a1 (= tptp.nil tptp.sk4))
% 76.75/76.96 (step t148.t1 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t148.t2)
% 76.75/76.96 (assume t148.t2.a0 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.75/76.96 (assume t148.t2.a1 (= tptp.nil tptp.sk4))
% 76.75/76.96 (step t148.t2.t1 (cl (= (= (tptp.frontsegP tptp.nil tptp.sk3) true) (tptp.frontsegP tptp.nil tptp.sk3))) :rule equiv_simplify)
% 76.75/76.96 (step t148.t2.t2 (cl (not (= (tptp.frontsegP tptp.nil tptp.sk3) true)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule equiv1 :premises (t148.t2.t1))
% 76.75/76.96 (step t148.t2.t3 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t148.t2.a1))
% 76.75/76.96 (step t148.t2.t4 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t148.t2.t3))
% 76.75/76.96 (step t148.t2.t5 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 76.75/76.96 (step t148.t2.t6 (cl (= (tptp.frontsegP tptp.nil tptp.sk3) (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule cong :premises (t148.t2.t4 t148.t2.t5))
% 76.75/76.96 (step t148.t2.t7 (cl (= (= (tptp.frontsegP tptp.sk4 tptp.sk3) true) (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule equiv_simplify)
% 76.75/76.96 (step t148.t2.t8 (cl (= (tptp.frontsegP tptp.sk4 tptp.sk3) true) (not (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule equiv2 :premises (t148.t2.t7))
% 76.75/76.96 (step t148.t2.t9 (cl (= (tptp.frontsegP tptp.sk4 tptp.sk3) true)) :rule resolution :premises (t148.t2.t8 t148.t2.a0))
% 76.75/76.96 (step t148.t2.t10 (cl (= (tptp.frontsegP tptp.nil tptp.sk3) true)) :rule trans :premises (t148.t2.t6 t148.t2.t9))
% 76.75/76.96 (step t148.t2.t11 (cl (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t148.t2.t2 t148.t2.t10))
% 76.75/76.96 (step t148.t2 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule subproof :discharge (t148.t2.a0 t148.t2.a1))
% 76.75/76.96 (step t148.t3 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.sk4 tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t148.t4 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.75/76.96 (step t148.t5 (cl (tptp.frontsegP tptp.nil tptp.sk3) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t148.t2 t148.t3 t148.t4))
% 76.75/76.96 (step t148.t6 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule reordering :premises (t148.t5))
% 76.75/76.96 (step t148.t7 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule contraction :premises (t148.t6))
% 76.75/76.96 (step t148.t8 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t148.t1 t148.t7))
% 76.75/76.96 (step t148.t9 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.frontsegP tptp.nil tptp.sk3))) :rule implies_neg2)
% 76.75/76.96 (step t148.t10 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule resolution :premises (t148.t8 t148.t9))
% 76.75/76.96 (step t148.t11 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule contraction :premises (t148.t10))
% 76.75/76.96 (step t148.t12 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule implies :premises (t148.t11))
% 76.75/76.96 (step t148.t13 (cl (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 76.75/76.96 (step t148.t14 (cl (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule resolution :premises (t148.t13 t148.a0 t148.a1))
% 76.75/76.96 (step t148.t15 (cl (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t148.t12 t148.t14))
% 76.75/76.96 (step t148 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule subproof :discharge (t148.a0 t148.a1))
% 76.75/76.96 (step t149 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.sk4 tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t150 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.75/76.96 (step t151 (cl (tptp.frontsegP tptp.nil tptp.sk3) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t148 t149 t150))
% 76.75/76.96 (step t152 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule reordering :premises (t151))
% 76.75/76.96 (step t153 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule contraction :premises (t152))
% 76.75/76.96 (step t154 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t147 t153))
% 76.75/76.96 (step t155 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.frontsegP tptp.nil tptp.sk3))) :rule implies_neg2)
% 76.75/76.96 (step t156 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule resolution :premises (t154 t155))
% 76.75/76.96 (step t157 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule contraction :premises (t156))
% 76.75/76.96 (step t158 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule implies :premises (t157))
% 76.75/76.96 (step t159 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t146 t158))
% 76.75/76.96 (step t160 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t135 t137 t145 a187 t159 a191))
% 76.75/76.96 (step t161 (cl (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t160))
% 76.75/76.96 (step t162 (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.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t163)
% 76.75/76.96 (assume t163.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 76.75/76.96 (step t163.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.75/76.96 (step t163.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule or :premises (t163.t1))
% 76.75/76.96 (step t163.t3 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t163.t2 t163.a0))
% 76.75/76.96 (step t163 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t163.a0))
% 76.75/76.96 (step t164 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t162 t163))
% 76.75/76.96 (step t165 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.75/76.96 (step t166 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t164 t165))
% 76.75/76.96 (step t167 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t166))
% 76.75/76.96 (step t168 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule implies :premises (t167))
% 76.75/76.96 (step t169 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 76.75/76.96 (anchor :step t170 :args ((U $$unsorted) (:= U U)))
% 76.75/76.96 (step t170.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t170.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.75/76.96 (step t170.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 76.75/76.96 (step t170.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 76.75/76.96 (step t170.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 (t170.t2 t170.t3 t170.t4))
% 76.75/76.96 (step t170 (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)
% 76.75/76.96 (step t171 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t169 t170 a108))
% 76.75/76.96 (step t172 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t168 t171))
% 76.75/76.96 (step t173 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t90 t161 a188 t172))
% 76.75/76.96 (step t174 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or_pos)
% 76.75/76.96 (step t175 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule reordering :premises (t174))
% 76.75/76.96 (step t176 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t177)
% 76.75/76.96 (assume t177.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.75/76.96 (step t177.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.75/76.96 (step t177.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule or :premises (t177.t1))
% 76.75/76.96 (step t177.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t177.t2 t177.a0))
% 76.75/76.96 (step t177 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule subproof :discharge (t177.a0))
% 76.75/76.96 (step t178 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t176 t177))
% 76.75/76.96 (step t179 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule implies_neg2)
% 76.75/76.96 (step t180 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule resolution :premises (t178 t179))
% 76.75/76.96 (step t181 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule contraction :premises (t180))
% 76.75/76.96 (step t182 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule implies :premises (t181))
% 76.75/76.96 (step t183 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t182 a11))
% 76.75/76.96 (step t184 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t185)
% 76.75/76.96 (assume t185.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.75/76.96 (step t185.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.75/76.96 (step t185.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule or :premises (t185.t1))
% 76.75/76.96 (step t185.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t185.t2 t185.a0))
% 76.75/76.96 (step t185 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule subproof :discharge (t185.a0))
% 76.75/76.96 (step t186 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t184 t185))
% 76.75/76.96 (step t187 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule implies_neg2)
% 76.75/76.96 (step t188 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t186 t187))
% 76.75/76.96 (step t189 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t188))
% 76.75/76.96 (step t190 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule implies :premises (t189))
% 76.75/76.96 (step t191 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t190 a12))
% 76.75/76.96 (step t192 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t193)
% 76.75/76.96 (assume t193.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 76.75/76.96 (step t193.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t193.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or :premises (t193.t1))
% 76.75/76.96 (step t193.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t193.t2 t193.a0))
% 76.75/76.96 (step t193 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule subproof :discharge (t193.a0))
% 76.75/76.96 (step t194 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t192 t193))
% 76.75/76.96 (step t195 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule implies_neg2)
% 76.75/76.96 (step t196 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t194 t195))
% 76.75/76.96 (step t197 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule contraction :premises (t196))
% 76.75/76.96 (step t198 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies :premises (t197))
% 76.75/76.96 (step t199 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 76.75/76.96 (anchor :step t200 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.75/76.96 (step t200.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t200.t2 (cl (= V V)) :rule refl)
% 76.75/76.96 (step t200.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.75/76.96 (step t200.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.75/76.96 (step t200.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 76.75/76.96 (step t200.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t200.t3 t200.t4 t200.t5))
% 76.75/76.96 (step t200 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 76.75/76.96 (step t201 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t199 t200 a96))
% 76.75/76.96 (step t202 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t198 t201))
% 76.75/76.96 (step t203 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t175 t183 t191 t202))
% 76.75/76.96 (step t204 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.75/76.96 (step t205 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t204))
% 76.75/76.96 (step t206 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t207)
% 76.75/76.96 (assume t207.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.75/76.96 (step t207.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.75/76.96 (step t207.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t207.t1))
% 76.75/76.96 (step t207.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t207.t2 t207.a0))
% 76.75/76.96 (step t207 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t207.a0))
% 76.75/76.96 (step t208 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t206 t207))
% 76.75/76.96 (step t209 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.75/76.96 (step t210 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t208 t209))
% 76.75/76.96 (step t211 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t210))
% 76.75/76.96 (step t212 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t211))
% 76.75/76.96 (step t213 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t212 a85))
% 76.75/76.96 (step t214 (cl (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t205 a7 t183 t213))
% 76.75/76.96 (step t215 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t88 t173 t203 t214))
% 76.75/76.96 (step t216 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 76.75/76.96 (step t217 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t216))
% 76.75/76.96 (step t218 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.75/76.96 (step t219 (cl (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t218))
% 76.75/76.96 (step t220 (cl (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)) :rule or_pos)
% 76.75/76.96 (step t221 (cl (= tptp.nil tptp.sk4) (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t220))
% 76.75/76.96 (step t222 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t223)
% 76.75/76.96 (assume t223.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.75/76.96 (step t223.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.75/76.96 (step t223.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule or :premises (t223.t1))
% 76.75/76.96 (step t223.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t223.t2 t223.a0))
% 76.75/76.96 (step t223 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t223.a0))
% 76.75/76.96 (step t224 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t222 t223))
% 76.75/76.96 (step t225 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.75/76.96 (step t226 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t224 t225))
% 76.75/76.96 (step t227 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t226))
% 76.75/76.96 (step t228 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies :premises (t227))
% 76.75/76.96 (step t229 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t228 a75))
% 76.75/76.96 (step t230 (cl (tptp.ssItem (tptp.hd tptp.sk4))) :rule resolution :premises (t221 t161 a188 t229))
% 76.75/76.96 (step t231 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t232)
% 76.75/76.96 (assume t232.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 76.75/76.96 (step t232.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4))))
% 76.75/76.96 (step t232.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t232.t1))
% 76.75/76.96 (step t232.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t232.t2 t232.a0))
% 76.75/76.96 (step t232 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t232.a0))
% 76.75/76.96 (step t233 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t231 t232))
% 76.75/76.96 (step t234 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.75/76.96 (step t235 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t233 t234))
% 76.75/76.96 (step t236 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t235))
% 76.75/76.96 (step t237 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t236))
% 76.75/76.96 (step t238 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t237 a63))
% 76.75/76.96 (step t239 (cl (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t219 t230 t238))
% 76.75/76.96 (step t240 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.75/76.96 (step t241 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t242)
% 76.75/76.96 (assume t242.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t242.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.75/76.96 (assume t242.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t242.a3 (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.75/76.96 (step t242.t1 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t242.t2)
% 76.75/76.96 (assume t242.t2.a0 (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.75/76.96 (assume t242.t2.a1 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t242.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t242.t2.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.75/76.96 (step t242.t2.t1 (cl (= (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.75/76.96 (step t242.t2.t2 (cl (not (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule equiv1 :premises (t242.t2.t1))
% 76.75/76.96 (step t242.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t242.t2.a2))
% 76.75/76.96 (step t242.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t242.t2.t3))
% 76.75/76.96 (step t242.t2.t5 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t242.t2.a1))
% 76.75/76.96 (step t242.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t242.t2.t5))
% 76.75/76.96 (step t242.t2.t7 (cl (= tptp.sk4 (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule trans :premises (t242.t2.t4 t242.t2.t6))
% 76.75/76.96 (step t242.t2.t8 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t242.t2.t4))
% 76.75/76.96 (step t242.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t242.t2.a3))
% 76.75/76.96 (step t242.t2.t10 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t242.t2.t8 t242.t2.t9))
% 76.75/76.96 (step t242.t2.t11 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t242.t2.t12 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t242.t2.t10 t242.t2.t11))
% 76.75/76.96 (step t242.t2.t13 (cl (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t242.t2.t7 t242.t2.t12))
% 76.75/76.96 (step t242.t2.t14 (cl (= (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.75/76.96 (step t242.t2.t15 (cl (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t242.t2.t14))
% 76.75/76.96 (step t242.t2.t16 (cl (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t242.t2.t15 t242.t2.a0))
% 76.75/76.96 (step t242.t2.t17 (cl (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t242.t2.t13 t242.t2.t16))
% 76.75/76.96 (step t242.t2.t18 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t242.t2.t2 t242.t2.t17))
% 76.75/76.96 (step t242.t2 (cl (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t242.t2.a0 t242.t2.a1 t242.t2.a2 t242.t2.a3))
% 76.75/76.96 (step t242.t3 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t242.t4 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t242.t5 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t242.t6 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.75/76.96 (step t242.t7 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t242.t2 t242.t3 t242.t4 t242.t5 t242.t6))
% 76.75/76.96 (step t242.t8 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t242.t7))
% 76.75/76.96 (step t242.t9 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t242.t8))
% 76.75/76.96 (step t242.t10 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t242.t1 t242.t9))
% 76.75/76.96 (step t242.t11 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.75/76.96 (step t242.t12 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t242.t10 t242.t11))
% 76.75/76.96 (step t242.t13 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t242.t12))
% 76.75/76.96 (step t242.t14 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t242.t13))
% 76.75/76.96 (step t242.t15 (cl (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule and_neg)
% 76.75/76.96 (step t242.t16 (cl (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t242.t15 t242.a3 t242.a2 t242.a0 t242.a1))
% 76.75/76.96 (step t242.t17 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t242.t14 t242.t16))
% 76.75/76.96 (step t242 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t242.a0 t242.a1 t242.a2 t242.a3))
% 76.75/76.96 (step t243 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t244 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.75/76.96 (step t245 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t246 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.75/76.96 (step t247 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t242 t243 t244 t245 t246))
% 76.75/76.96 (step t248 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t247))
% 76.75/76.96 (step t249 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t248))
% 76.75/76.96 (step t250 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t241 t249))
% 76.75/76.96 (step t251 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.75/76.96 (step t252 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t250 t251))
% 76.75/76.96 (step t253 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t252))
% 76.75/76.96 (step t254 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t253))
% 76.75/76.96 (step t255 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t240 t254))
% 76.75/76.96 (step t256 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule reordering :premises (t255))
% 76.75/76.96 (step t257 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule or_pos)
% 76.75/76.96 (step t258 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule reordering :premises (t257))
% 76.75/76.96 (step t259 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule equiv_pos2)
% 76.75/76.96 (step t260 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 76.75/76.96 (step t261 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))))) :rule refl)
% 76.75/76.96 (step t262 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))))) :rule refl)
% 76.75/76.96 (step t263 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule all_simplify)
% 76.75/76.96 (step t264 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule cong :premises (t261 t262 t263))
% 76.75/76.96 (step t265 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) :rule cong :premises (t260 t264))
% 76.75/76.96 (step t266 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t267)
% 76.75/76.96 (assume t267.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.75/76.96 (step t267.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t267.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or :premises (t267.t1))
% 76.75/76.96 (step t267.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t267.t2 t267.a0))
% 76.75/76.96 (step t267 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule subproof :discharge (t267.a0))
% 76.75/76.96 (step t268 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t266 t267))
% 76.75/76.96 (step t269 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg2)
% 76.75/76.96 (step t270 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t268 t269))
% 76.75/76.96 (step t271 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule contraction :premises (t270))
% 76.75/76.96 (step t272 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t259 t265 t271))
% 76.75/76.96 (step t273 (cl (not (forall ((U $$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.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies :premises (t272))
% 76.75/76.96 (step t274 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t273 a119))
% 76.75/76.96 (step t275 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t258 t183 t191 t274))
% 76.75/76.96 (step t276 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.75/76.96 (step t277 (cl (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t276))
% 76.75/76.96 (step t278 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.75/76.96 (step t279 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t280)
% 76.75/76.96 (assume t280.a0 (tptp.ssList tptp.sk4))
% 76.75/76.96 (assume t280.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t280.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t280.t1 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t280.t2)
% 76.75/76.96 (assume t280.t2.a0 (tptp.ssList tptp.sk4))
% 76.75/76.96 (assume t280.t2.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (assume t280.t2.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t280.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule equiv_simplify)
% 76.75/76.96 (step t280.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true)) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule equiv1 :premises (t280.t2.t1))
% 76.75/76.96 (step t280.t2.t3 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t280.t2.a2))
% 76.75/76.96 (step t280.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t280.t2.t3))
% 76.75/76.96 (step t280.t2.t5 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t280.t2.t4))
% 76.75/76.96 (step t280.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t280.t2.a1))
% 76.75/76.96 (step t280.t2.t7 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t280.t2.t6))
% 76.75/76.96 (step t280.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t280.t2.t7))
% 76.75/76.96 (step t280.t2.t9 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule trans :premises (t280.t2.t5 t280.t2.t8))
% 76.75/76.96 (step t280.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.ssList tptp.sk4))) :rule cong :premises (t280.t2.t9))
% 76.75/76.96 (step t280.t2.t11 (cl (= (= (tptp.ssList tptp.sk4) true) (tptp.ssList tptp.sk4))) :rule equiv_simplify)
% 76.75/76.96 (step t280.t2.t12 (cl (= (tptp.ssList tptp.sk4) true) (not (tptp.ssList tptp.sk4))) :rule equiv2 :premises (t280.t2.t11))
% 76.75/76.96 (step t280.t2.t13 (cl (= (tptp.ssList tptp.sk4) true)) :rule resolution :premises (t280.t2.t12 t280.t2.a0))
% 76.75/76.96 (step t280.t2.t14 (cl (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true)) :rule trans :premises (t280.t2.t10 t280.t2.t13))
% 76.75/76.96 (step t280.t2.t15 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t280.t2.t2 t280.t2.t14))
% 76.75/76.96 (step t280.t2 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule subproof :discharge (t280.t2.a0 t280.t2.a1 t280.t2.a2))
% 76.75/76.96 (step t280.t3 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList tptp.sk4)) :rule and_pos)
% 76.75/76.96 (step t280.t4 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t280.t5 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t280.t6 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t280.t2 t280.t3 t280.t4 t280.t5))
% 76.75/76.96 (step t280.t7 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule reordering :premises (t280.t6))
% 76.75/76.96 (step t280.t8 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t280.t7))
% 76.75/76.96 (step t280.t9 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t280.t1 t280.t8))
% 76.75/76.96 (step t280.t10 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg2)
% 76.75/76.96 (step t280.t11 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t280.t9 t280.t10))
% 76.75/76.96 (step t280.t12 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t280.t11))
% 76.75/76.96 (step t280.t13 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule implies :premises (t280.t12))
% 76.75/76.96 (step t280.t14 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.75/76.96 (step t280.t15 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t280.t14 t280.a0 t280.a1 t280.a2))
% 76.75/76.96 (step t280.t16 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t280.t13 t280.t15))
% 76.75/76.96 (step t280 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule subproof :discharge (t280.a0 t280.a1 t280.a2))
% 76.75/76.96 (step t281 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList tptp.sk4)) :rule and_pos)
% 76.75/76.96 (step t282 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t283 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.75/76.96 (step t284 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t280 t281 t282 t283))
% 76.75/76.96 (step t285 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule reordering :premises (t284))
% 76.75/76.96 (step t286 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t285))
% 76.75/76.96 (step t287 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t279 t286))
% 76.75/76.96 (step t288 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg2)
% 76.75/76.96 (step t289 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t287 t288))
% 76.75/76.96 (step t290 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t289))
% 76.75/76.96 (step t291 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule implies :premises (t290))
% 76.75/76.96 (step t292 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t278 t291))
% 76.75/76.96 (step t293 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t292 a188 t173 t275))
% 76.75/76.96 (step t294 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t295)
% 76.75/76.96 (assume t295.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 76.75/76.96 (step t295.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.75/76.96 (step t295.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t295.t1))
% 76.75/76.96 (step t295.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t295.t2 t295.a0))
% 76.75/76.96 (step t295 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t295.a0))
% 76.75/76.96 (step t296 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t294 t295))
% 76.75/76.96 (step t297 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.75/76.96 (step t298 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t296 t297))
% 76.75/76.96 (step t299 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t298))
% 76.75/76.96 (step t300 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t299))
% 76.75/76.96 (step t301 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule equiv_pos2)
% 76.75/76.96 (anchor :step t302 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 76.75/76.96 (step t302.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t302.t2 (cl (= V V)) :rule refl)
% 76.75/76.96 (step t302.t3 (cl (= W W)) :rule refl)
% 76.75/76.96 (step t302.t4 (cl (= (= (tptp.app U V) W) (= W (tptp.app U V)))) :rule all_simplify)
% 76.75/76.96 (step t302.t5 (cl (= (not (= (tptp.app U V) W)) (not (= W (tptp.app U V))))) :rule cong :premises (t302.t4))
% 76.75/76.96 (step t302.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.75/76.96 (step t302.t7 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.75/76.96 (step t302.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 76.75/76.96 (step t302.t9 (cl (= (tptp.frontsegP W U) (tptp.frontsegP W U))) :rule refl)
% 76.75/76.96 (step t302.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 (t302.t5 t302.t6 t302.t7 t302.t8 t302.t9))
% 76.75/76.96 (step t302 (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)
% 76.75/76.96 (step t303 (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 $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule all_simplify)
% 76.75/76.96 (anchor :step t304 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.75/76.96 (step t304.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t304.t2 (cl (= V V)) :rule refl)
% 76.75/76.96 (step t304.t3 (cl (= (= (tptp.app U V) (tptp.app U V)) true)) :rule all_simplify)
% 76.75/76.96 (step t304.t4 (cl (= (not (= (tptp.app U V) (tptp.app U V))) (not true))) :rule cong :premises (t304.t3))
% 76.75/76.96 (step t304.t5 (cl (= (not true) false)) :rule all_simplify)
% 76.75/76.96 (step t304.t6 (cl (= (not (= (tptp.app U V) (tptp.app U V))) false)) :rule trans :premises (t304.t4 t304.t5))
% 76.75/76.96 (step t304.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.75/76.96 (step t304.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.75/76.96 (step t304.t9 (cl (= (not (tptp.ssList (tptp.app U V))) (not (tptp.ssList (tptp.app U V))))) :rule refl)
% 76.75/76.96 (step t304.t10 (cl (= (tptp.frontsegP (tptp.app U V) U) (tptp.frontsegP (tptp.app U V) U))) :rule refl)
% 76.75/76.96 (step t304.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 (t304.t6 t304.t7 t304.t8 t304.t9 t304.t10))
% 76.75/76.96 (step t304.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)
% 76.75/76.96 (step t304.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 (t304.t11 t304.t12))
% 76.75/76.96 (step t304 (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 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule bind)
% 76.75/76.96 (step t305 (cl (= (forall ((U $$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 (t303 t304))
% 76.75/76.96 (step t306 (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 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t302 t305))
% 76.75/76.96 (step t307 (cl (forall ((U $$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 (t301 t306 a143))
% 76.75/76.96 (step t308 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t300 t307))
% 76.75/76.96 (step t309 (cl (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t277 t191 t214 t293 t308))
% 76.75/76.96 (step t310 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t256 t173 t203 t275 t309))
% 76.75/76.96 (step t311 (cl (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule and_neg)
% 76.75/76.96 (step t312 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t313)
% 76.75/76.96 (assume t313.a0 (= tptp.nil tptp.sk3))
% 76.75/76.96 (assume t313.a1 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.75/76.96 (step t313.t1 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t313.t2)
% 76.75/76.96 (assume t313.t2.a0 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.75/76.96 (assume t313.t2.a1 (= tptp.nil tptp.sk3))
% 76.75/76.96 (step t313.t2.t1 (cl (= (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule equiv_simplify)
% 76.75/76.96 (step t313.t2.t2 (cl (not (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule equiv1 :premises (t313.t2.t1))
% 76.75/76.96 (step t313.t2.t3 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 76.75/76.96 (step t313.t2.t4 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t313.t2.a1))
% 76.75/76.96 (step t313.t2.t5 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule cong :premises (t313.t2.t3 t313.t2.t4))
% 76.75/76.96 (step t313.t2.t6 (cl (= (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule equiv_simplify)
% 76.75/76.96 (step t313.t2.t7 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule equiv2 :premises (t313.t2.t6))
% 76.75/76.96 (step t313.t2.t8 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true)) :rule resolution :premises (t313.t2.t7 t313.t2.a0))
% 76.75/76.96 (step t313.t2.t9 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) :rule trans :premises (t313.t2.t5 t313.t2.t8))
% 76.75/76.96 (step t313.t2.t10 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t313.t2.t2 t313.t2.t9))
% 76.75/76.96 (step t313.t2 (cl (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule subproof :discharge (t313.t2.a0 t313.t2.a1))
% 76.75/76.96 (step t313.t3 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule and_pos)
% 76.75/76.96 (step t313.t4 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t313.t5 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t313.t2 t313.t3 t313.t4))
% 76.75/76.96 (step t313.t6 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule reordering :premises (t313.t5))
% 76.75/76.96 (step t313.t7 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule contraction :premises (t313.t6))
% 76.75/76.96 (step t313.t8 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t313.t1 t313.t7))
% 76.75/76.96 (step t313.t9 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule implies_neg2)
% 76.75/76.96 (step t313.t10 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t313.t8 t313.t9))
% 76.75/76.96 (step t313.t11 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule contraction :premises (t313.t10))
% 76.75/76.96 (step t313.t12 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule implies :premises (t313.t11))
% 76.75/76.96 (step t313.t13 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.75/76.96 (step t313.t14 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t313.t13 t313.a1 t313.a0))
% 76.75/76.96 (step t313.t15 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t313.t12 t313.t14))
% 76.75/76.96 (step t313 (cl (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule subproof :discharge (t313.a0 t313.a1))
% 76.75/76.96 (step t314 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.75/76.96 (step t315 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule and_pos)
% 76.75/76.96 (step t316 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t313 t314 t315))
% 76.75/76.96 (step t317 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule reordering :premises (t316))
% 76.75/76.96 (step t318 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule contraction :premises (t317))
% 76.75/76.96 (step t319 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t312 t318))
% 76.75/76.96 (step t320 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule implies_neg2)
% 76.75/76.96 (step t321 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t319 t320))
% 76.75/76.96 (step t322 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule contraction :premises (t321))
% 76.75/76.96 (step t323 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule implies :premises (t322))
% 76.75/76.96 (step t324 (cl (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t311 t323))
% 76.75/76.96 (step t325 (cl (not (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule reordering :premises (t324))
% 76.75/76.96 (step t326 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)) :rule or_pos)
% 76.75/76.96 (step t327 (cl (not (tptp.ssList tptp.nil)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t326))
% 76.75/76.96 (step t328 (cl (not (= (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1))) (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3))))) (not (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1)))) (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)))) :rule equiv_pos2)
% 76.75/76.96 (step t329 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.75/76.96 (step t330 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t110))
% 76.75/76.96 (step t331 (cl (= (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk4))) :rule cong :premises (t329 t330))
% 76.75/76.96 (step t332 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t110))
% 76.75/76.96 (step t333 (cl (= (tptp.neq tptp.sk1 tptp.nil) (tptp.neq tptp.sk3 tptp.nil))) :rule cong :premises (t332 t329))
% 76.75/76.96 (step t334 (cl (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) :rule cong :premises (t333))
% 76.75/76.96 (step t335 (cl (= (tptp.frontsegP tptp.sk2 tptp.sk1) (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule cong :premises (t330 t332))
% 76.75/76.96 (step t336 (cl (= (not (tptp.frontsegP tptp.sk2 tptp.sk1)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)))) :rule cong :premises (t335))
% 76.75/76.96 (step t337 (cl (= (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.frontsegP tptp.sk2 tptp.sk1))) (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3))))) :rule cong :premises (t331 t334 t336))
% 76.75/76.96 (step t338 (cl (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)))) :rule resolution :premises (t328 t337 a195))
% 76.75/76.96 (step t339 (cl (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule or :premises (t338))
% 76.75/76.96 (step t340 (cl (= tptp.nil tptp.sk4) (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule reordering :premises (t339))
% 76.75/76.96 (step t341 (cl (not (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t340 t161 a191))
% 76.75/76.96 (step t342 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t343)
% 76.75/76.96 (assume t343.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.75/76.96 (step t343.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk3)))
% 76.75/76.96 (step t343.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule or :premises (t343.t1))
% 76.75/76.96 (step t343.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t343.t2 t343.a0))
% 76.75/76.96 (step t343 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t343.a0))
% 76.75/76.96 (step t344 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t342 t343))
% 76.75/76.96 (step t345 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 76.75/76.96 (step t346 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t344 t345))
% 76.75/76.96 (step t347 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t346))
% 76.75/76.96 (step t348 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule implies :premises (t347))
% 76.75/76.96 (step t349 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 76.75/76.96 (anchor :step t350 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.75/76.96 (step t350.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t350.t2 (cl (= V V)) :rule refl)
% 76.75/76.96 (step t350.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.75/76.96 (step t350.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.75/76.96 (step t350.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 76.75/76.96 (step t350.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 76.75/76.96 (step t350.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t350.t3 t350.t4 t350.t5 t350.t6))
% 76.75/76.96 (step t350 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 76.75/76.96 (step t351 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t349 t350 a99))
% 76.75/76.96 (step t352 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t348 t351))
% 76.75/76.96 (step t353 (cl (= tptp.nil tptp.sk3)) :rule resolution :premises (t327 a7 t341 a187 t352))
% 76.75/76.96 (step t354 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule or_pos)
% 76.75/76.96 (step t355 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule reordering :premises (t354))
% 76.75/76.96 (step t356 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t357)
% 76.75/76.96 (assume t357.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.75/76.96 (step t357.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.75/76.96 (step t357.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule or :premises (t357.t1))
% 76.75/76.96 (step t357.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t357.t2 t357.a0))
% 76.75/76.96 (step t357 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule subproof :discharge (t357.a0))
% 76.75/76.96 (step t358 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t356 t357))
% 76.75/76.96 (step t359 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule implies_neg2)
% 76.75/76.96 (step t360 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t358 t359))
% 76.75/76.96 (step t361 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule contraction :premises (t360))
% 76.75/76.96 (step t362 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies :premises (t361))
% 76.75/76.96 (step t363 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t362 a55))
% 76.75/76.96 (step t364 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule resolution :premises (t355 t215 t363))
% 76.75/76.96 (step t365 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t325 t353 t364))
% 76.75/76.96 (step t366 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t367)
% 76.75/76.96 (assume t367.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))))
% 76.75/76.96 (step t367.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= A (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.75/76.96 (step t367.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t367.t1))
% 76.75/76.96 (step t367.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t367.t2 t367.a0))
% 76.75/76.96 (step t367 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t367.a0))
% 76.75/76.96 (step t368 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t366 t367))
% 76.75/76.96 (step t369 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.75/76.96 (step t370 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t368 t369))
% 76.75/76.96 (step t371 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t370))
% 76.75/76.96 (step t372 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t371))
% 76.75/76.96 (step t373 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.equalelemsP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t372 a193))
% 76.75/76.96 (step t374 (cl (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t217 t215 t239 t310 t365 t373))
% 76.75/76.96 (step t375 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.75/76.96 (step t376 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule refl)
% 76.75/76.96 (step t377 (cl (= (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.75/76.96 (step t378 (cl (= (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)))) :rule refl)
% 76.75/76.96 (step t379 (cl (= (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 76.75/76.96 (step t380 (cl (= (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.75/76.96 (step t381 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t377 t378 t379 t380))
% 76.75/76.96 (step t382 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t376 t381))
% 76.75/76.96 (step t383 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t384)
% 76.75/76.96 (assume t384.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.75/76.96 (step t384.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V tptp.sk3)))
% 76.75/76.96 (step t384.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule or :premises (t384.t1))
% 76.75/76.96 (step t384.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t384.t2 t384.a0))
% 76.75/76.96 (step t384 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule subproof :discharge (t384.a0))
% 76.75/76.96 (step t385 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t383 t384))
% 76.75/76.96 (step t386 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 76.75/76.96 (step t387 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule resolution :premises (t385 t386))
% 76.75/76.96 (step t388 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule contraction :premises (t387))
% 76.75/76.96 (step t389 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t375 t382 t388))
% 76.75/76.96 (step t390 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t389))
% 76.75/76.96 (step t391 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t390 t351))
% 76.75/76.96 (step t392 (cl (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t72 a187 t215 t374 t391))
% 76.75/76.96 (step t393 (cl (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 76.75/76.96 (step t394 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t393))
% 76.75/76.96 (step t395 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 76.75/76.96 (anchor :step t396)
% 76.75/76.96 (assume t396.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.75/76.96 (step t396.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.75/76.96 (step t396.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule or :premises (t396.t1))
% 76.75/76.96 (step t396.t3 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t396.t2 t396.a0))
% 76.75/76.96 (step t396 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t396.a0))
% 76.75/76.96 (step t397 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t395 t396))
% 76.75/76.96 (step t398 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 76.75/76.96 (step t399 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t397 t398))
% 76.75/76.96 (step t400 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t399))
% 76.75/76.96 (step t401 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t400))
% 76.75/76.96 (step t402 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 76.75/76.96 (anchor :step t403 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.75/76.96 (step t403.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t403.t2 (cl (= V V)) :rule refl)
% 76.75/76.96 (step t403.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 76.75/76.96 (step t403.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t403.t3))
% 76.75/76.96 (step t403.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.75/76.96 (step t403.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.75/76.96 (step t403.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t403.t4 t403.t5 t403.t6))
% 76.75/76.96 (step t403 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 76.75/76.96 (step t404 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t402 t403 a97))
% 76.75/76.96 (step t405 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t401 t404))
% 76.75/76.96 (step t406 (cl (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t394 a7 t183 t405))
% 76.75/76.96 (step t407 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule equiv_pos2)
% 76.75/76.96 (anchor :step t408 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.75/76.96 (step t408.t1 (cl (= U U)) :rule refl)
% 76.75/76.96 (step t408.t2 (cl (= V V)) :rule refl)
% 76.75/76.96 (step t408.t3 (cl (= (not (= tptp.nil U)) (not (= tptp.nil U)))) :rule refl)
% 76.75/76.96 (step t408.t4 (cl (= (not (= tptp.nil V)) (not (= tptp.nil V)))) :rule refl)
% 76.75/76.96 (step t408.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.75/76.96 (step t408.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.75/76.96 (step t408.t7 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 76.75/76.96 (step t408.t8 (cl (= (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V))))) :rule cong :premises (t408.t3 t408.t4 t408.t5 t408.t6 t408.t7))
% 76.75/76.96 (step t408 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))))) :rule bind)
% 76.75/76.96 (step t409 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 76.75/76.96 (step t410 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 76.75/76.96 (step t411 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t410))
% 76.75/76.96 (step t412 (cl (= (not true) false)) :rule all_simplify)
% 76.75/76.96 (step t413 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t411 t412))
% 76.75/76.96 (step t414 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 76.75/76.96 (step t415 (cl (= (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule refl)
% 76.75/76.96 (step t416 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule cong :premises (t413 t413 t414 t414 t415))
% 76.75/76.96 (step t417 (cl (= (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 76.75/76.96 (step t418 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t416 t417))
% 76.75/76.96 (step t419 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t409 t418))
% 76.75/76.96 (step t420 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t408 t419))
% 76.75/76.96 (step t421 (cl (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t407 t420 a144))
% 76.75/76.96 (step t422 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule or :premises (t421))
% 76.75/76.96 (step t423 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule resolution :premises (t422 a7))
% 76.75/76.96 (step t424 (cl) :rule resolution :premises (t70 t392 t406 t203 t173 t353 t423))
% 76.75/76.96
% 76.75/76.97 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.RxTqO5ZZf8/cvc5---1.0.5_13345.smt2
% 76.75/76.97 % cvc5---1.0.5 exiting
% 76.75/76.97 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------