TSTP Solution File: SWC115-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC115-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n026.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 18:00:28 EDT 2024
% Result : Unsatisfiable 78.63s 78.85s
% Output : Proof 78.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC115-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n026.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun May 26 15:52:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.22/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.53/15.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.58/20.74 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.54/25.77 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.66/30.82 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.66/35.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.71/40.89 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.77/45.96 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.83/51.00 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.81/56.06 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.94/61.10 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.94/66.15 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.94/76.18 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 78.63/78.85 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.eP0peic0U8/cvc5---1.0.5_15803.smt2
% 78.63/78.85 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.eP0peic0U8/cvc5---1.0.5_15803.smt2
% 78.74/78.89 (assume a0 (tptp.equalelemsP tptp.nil))
% 78.74/78.89 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 78.74/78.89 (assume a2 (tptp.strictorderedP tptp.nil))
% 78.74/78.89 (assume a3 (tptp.totalorderedP tptp.nil))
% 78.74/78.89 (assume a4 (tptp.strictorderP tptp.nil))
% 78.74/78.89 (assume a5 (tptp.totalorderP tptp.nil))
% 78.74/78.89 (assume a6 (tptp.cyclefreeP tptp.nil))
% 78.74/78.89 (assume a7 (tptp.ssList tptp.nil))
% 78.74/78.89 (assume a8 (tptp.ssItem tptp.skac3))
% 78.74/78.89 (assume a9 (tptp.ssItem tptp.skac2))
% 78.74/78.89 (assume a10 (not (tptp.singletonP tptp.nil)))
% 78.74/78.89 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 78.74/78.89 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 78.74/78.89 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 78.74/78.89 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 78.74/78.89 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 78.74/78.89 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 78.74/78.89 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 78.74/78.89 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 78.74/78.89 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 78.74/78.89 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 78.74/78.89 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 78.74/78.89 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 78.74/78.89 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 78.74/78.89 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 78.74/78.89 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 78.74/78.89 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 78.74/78.89 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 78.74/78.89 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 78.74/78.89 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 78.74/78.89 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 78.74/78.89 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 78.74/78.89 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 78.74/78.89 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 78.74/78.89 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 78.74/78.89 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 78.74/78.89 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 78.74/78.89 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 78.74/78.89 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 78.74/78.89 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 78.74/78.89 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 78.74/78.89 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 78.74/78.89 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 78.74/78.89 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 78.74/78.89 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 78.74/78.89 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 78.74/78.89 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 78.74/78.89 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 78.74/78.89 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 78.74/78.89 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 78.74/78.89 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 78.74/78.89 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 78.74/78.89 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 78.74/78.89 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 78.74/78.89 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 78.74/78.89 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 78.74/78.89 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 78.74/78.89 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 78.74/78.89 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 78.74/78.89 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 78.74/78.89 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 78.74/78.89 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 78.74/78.89 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 78.74/78.89 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 78.74/78.89 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 78.74/78.89 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 78.74/78.89 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 78.74/78.89 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 78.74/78.89 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 78.74/78.89 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.74/78.89 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 78.74/78.89 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.74/78.89 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 78.74/78.89 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.74/78.89 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 78.74/78.89 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.74/78.89 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 78.74/78.89 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.74/78.89 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.74/78.89 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.74/78.89 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 78.74/78.89 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 78.74/78.89 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 78.74/78.89 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 78.74/78.89 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 78.74/78.89 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 78.74/78.89 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 78.74/78.89 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 78.74/78.89 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 78.74/78.89 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 78.74/78.89 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 78.74/78.89 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.74/78.89 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.74/78.89 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 78.74/78.89 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 78.74/78.89 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 78.74/78.89 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 78.74/78.89 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 78.74/78.89 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.74/78.89 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 78.74/78.89 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 78.74/78.89 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 78.74/78.89 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.74/78.89 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 78.74/78.89 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 78.74/78.89 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 78.74/78.89 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.74/78.89 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 78.74/78.89 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 78.74/78.89 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.74/78.89 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.74/78.89 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 78.74/78.89 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 78.74/78.89 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 78.74/78.89 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 78.74/78.89 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.74/78.89 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.74/78.89 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.74/78.89 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 78.74/78.89 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 78.74/78.89 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 78.74/78.89 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 78.74/78.89 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 78.74/78.89 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 78.74/78.89 (assume a135 (forall ((U $$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))))
% 78.74/78.89 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 78.74/78.89 (assume a137 (forall ((U $$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))))
% 78.74/78.89 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 78.74/78.89 (assume a139 (forall ((U $$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))))
% 78.74/78.89 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 78.74/78.89 (assume a141 (forall ((U $$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))))
% 78.74/78.89 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 78.74/78.89 (assume a143 (forall ((U $$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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 78.74/78.89 (assume a146 (forall ((U $$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))))
% 78.74/78.89 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 78.74/78.89 (assume a148 (forall ((U $$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))))))
% 78.74/78.89 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 78.74/78.89 (assume a150 (forall ((U $$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))))
% 78.74/78.89 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 78.74/78.89 (assume a152 (forall ((U $$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))))
% 78.74/78.89 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 78.74/78.89 (assume a154 (forall ((U $$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))))
% 78.74/78.89 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 78.74/78.89 (assume a156 (forall ((U $$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)))))
% 78.74/78.89 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 78.74/78.89 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 78.74/78.89 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 78.74/78.89 (assume a160 (forall ((U $$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))))
% 78.74/78.89 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 78.74/78.89 (assume a162 (forall ((U $$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))))
% 78.74/78.89 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 78.74/78.89 (assume a164 (forall ((U $$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))))
% 78.74/78.89 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 78.74/78.89 (assume a166 (forall ((U $$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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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)))))
% 78.74/78.89 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 78.74/78.89 (assume a179 (forall ((U $$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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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))))
% 78.74/78.89 (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)))))
% 78.74/78.89 (assume a185 (tptp.ssList tptp.sk1))
% 78.74/78.89 (assume a186 (tptp.ssList tptp.sk2))
% 78.74/78.89 (assume a187 (tptp.ssList tptp.sk3))
% 78.74/78.89 (assume a188 (tptp.ssList tptp.sk4))
% 78.74/78.89 (assume a189 (= tptp.sk2 tptp.sk4))
% 78.74/78.89 (assume a190 (= tptp.sk1 tptp.sk3))
% 78.74/78.89 (assume a191 (or (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk1))))
% 78.74/78.89 (assume a192 (or (tptp.ssItem tptp.sk5) (= tptp.nil tptp.sk4)))
% 78.74/78.89 (assume a193 (or (tptp.ssItem tptp.sk5) (= tptp.nil tptp.sk3)))
% 78.74/78.89 (assume a194 (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk4)))
% 78.74/78.89 (assume a195 (or (tptp.memberP tptp.sk4 tptp.sk5) (= tptp.nil tptp.sk4)))
% 78.74/78.89 (assume a196 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk5 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq A tptp.sk5)) (= tptp.nil tptp.sk4))))
% 78.74/78.89 (assume a197 (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)))
% 78.74/78.89 (assume a198 (or (tptp.memberP tptp.sk4 tptp.sk5) (= tptp.nil tptp.sk3)))
% 78.74/78.89 (assume a199 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk5 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq A tptp.sk5)) (= tptp.nil tptp.sk3))))
% 78.74/78.89 (assume a200 (or (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))))
% 78.74/78.89 (step t1 (cl (not (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) :rule or_pos)
% 78.74/78.89 (step t2 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (not (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule reordering :premises (t1))
% 78.74/78.89 (step t3 (cl (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule and_neg)
% 78.74/78.89 (step t4 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t5)
% 78.74/78.89 (assume t5.a0 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))
% 78.74/78.89 (assume t5.a1 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 78.74/78.89 (assume t5.a2 (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 78.74/78.89 (assume t5.a3 (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))
% 78.74/78.89 (assume t5.a4 (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))
% 78.74/78.89 (step t5.t1 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t5.t2)
% 78.74/78.89 (assume t5.t2.a0 (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))
% 78.74/78.89 (assume t5.t2.a1 (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))
% 78.74/78.89 (assume t5.t2.a2 (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 78.74/78.89 (assume t5.t2.a3 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))
% 78.74/78.89 (assume t5.t2.a4 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))
% 78.74/78.89 (step t5.t2.t1 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) true) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv_simplify)
% 78.74/78.89 (step t5.t2.t2 (cl (not (= (tptp.segmentP tptp.sk4 tptp.sk3) true)) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule equiv1 :premises (t5.t2.t1))
% 78.74/78.89 (step t5.t2.t3 (cl (= (tptp.app tptp.sk4 tptp.nil) tptp.sk4)) :rule symm :premises (t5.t2.a4))
% 78.74/78.89 (step t5.t2.t4 (cl (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule symm :premises (t5.t2.t3))
% 78.74/78.89 (step t5.t2.t5 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 78.74/78.89 (step t5.t2.t6 (cl (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule cong :premises (t5.t2.t5 t5.t2.a3))
% 78.74/78.89 (step t5.t2.t7 (cl (= (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.sk4)) :rule symm :premises (t5.t2.a2))
% 78.74/78.89 (step t5.t2.t8 (cl (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule symm :premises (t5.t2.t7))
% 78.74/78.89 (step t5.t2.t9 (cl (= (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)) tptp.nil)) :rule symm :premises (t5.t2.a3))
% 78.74/78.89 (step t5.t2.t10 (cl (= (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)) (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule trans :premises (t5.t2.t9 t5.t2.a1))
% 78.74/78.89 (step t5.t2.t11 (cl (= (tptp.app tptp.sk4 (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule cong :premises (t5.t2.t8 t5.t2.t10))
% 78.74/78.89 (step t5.t2.t12 (cl (= (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule refl)
% 78.74/78.89 (step t5.t2.t13 (cl (= (tptp.skaf45 tptp.sk4 tptp.sk4) tptp.nil)) :rule symm :premises (t5.t2.a1))
% 78.74/78.89 (step t5.t2.t14 (cl (= (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil))) :rule cong :premises (t5.t2.t12 t5.t2.t13))
% 78.74/78.89 (step t5.t2.t15 (cl (= tptp.sk4 (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil))) :rule trans :premises (t5.t2.t4 t5.t2.t6 t5.t2.t11 t5.t2.t14))
% 78.74/78.89 (step t5.t2.t16 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 78.74/78.89 (step t5.t2.t17 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule cong :premises (t5.t2.t15 t5.t2.t16))
% 78.74/78.89 (step t5.t2.t18 (cl (= (= (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) true) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule equiv_simplify)
% 78.74/78.89 (step t5.t2.t19 (cl (= (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) true) (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule equiv2 :premises (t5.t2.t18))
% 78.74/78.89 (step t5.t2.t20 (cl (= (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) true)) :rule resolution :premises (t5.t2.t19 t5.t2.a0))
% 78.74/78.89 (step t5.t2.t21 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) true)) :rule trans :premises (t5.t2.t17 t5.t2.t20))
% 78.74/78.89 (step t5.t2.t22 (cl (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t5.t2.t2 t5.t2.t21))
% 78.74/78.89 (step t5.t2 (cl (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (not (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule subproof :discharge (t5.t2.a0 t5.t2.a1 t5.t2.a2 t5.t2.a3 t5.t2.a4))
% 78.74/78.89 (step t5.t3 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) :rule and_pos)
% 78.74/78.89 (step t5.t4 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule and_pos)
% 78.74/78.89 (step t5.t5 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule and_pos)
% 78.74/78.89 (step t5.t6 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule and_pos)
% 78.74/78.89 (step t5.t7 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t5.t8 (cl (tptp.segmentP tptp.sk4 tptp.sk3) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule resolution :premises (t5.t2 t5.t3 t5.t4 t5.t5 t5.t6 t5.t7))
% 78.74/78.89 (step t5.t9 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule reordering :premises (t5.t8))
% 78.74/78.89 (step t5.t10 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule contraction :premises (t5.t9))
% 78.74/78.89 (step t5.t11 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t5.t1 t5.t10))
% 78.74/78.89 (step t5.t12 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule implies_neg2)
% 78.74/78.89 (step t5.t13 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3)) (=> (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t5.t11 t5.t12))
% 78.74/78.89 (step t5.t14 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule contraction :premises (t5.t13))
% 78.74/78.89 (step t5.t15 (cl (not (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule implies :premises (t5.t14))
% 78.74/78.89 (step t5.t16 (cl (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (not (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule and_neg)
% 78.74/78.89 (step t5.t17 (cl (and (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t5.t16 t5.a4 t5.a3 t5.a2 t5.a1 t5.a0))
% 78.74/78.89 (step t5.t18 (cl (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t5.t15 t5.t17))
% 78.74/78.89 (step t5 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule subproof :discharge (t5.a0 t5.a1 t5.a2 t5.a3 t5.a4))
% 78.74/78.89 (step t6 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t7 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule and_pos)
% 78.74/78.89 (step t8 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule and_pos)
% 78.74/78.89 (step t9 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule and_pos)
% 78.74/78.89 (step t10 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) :rule and_pos)
% 78.74/78.89 (step t11 (cl (tptp.segmentP tptp.sk4 tptp.sk3) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule resolution :premises (t5 t6 t7 t8 t9 t10))
% 78.74/78.89 (step t12 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule reordering :premises (t11))
% 78.74/78.89 (step t13 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule contraction :premises (t12))
% 78.74/78.89 (step t14 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t4 t13))
% 78.74/78.89 (step t15 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule implies_neg2)
% 78.74/78.89 (step t16 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t14 t15))
% 78.74/78.89 (step t17 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule contraction :premises (t16))
% 78.74/78.89 (step t18 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule implies :premises (t17))
% 78.74/78.89 (step t19 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t3 t18))
% 78.74/78.89 (step t20 (cl (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule reordering :premises (t19))
% 78.74/78.89 (step t21 (cl (not (= (or (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))) (or (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) (not (or (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1)))) (or (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_pos2)
% 78.74/78.89 (step t22 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 78.74/78.89 (step t23 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t22 a190 a189))
% 78.74/78.89 (step t24 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t23))
% 78.74/78.89 (step t25 (cl (= tptp.nil tptp.nil)) :rule refl)
% 78.74/78.89 (step t26 (cl (= (tptp.neq tptp.sk1 tptp.nil) (tptp.neq tptp.sk3 tptp.nil))) :rule cong :premises (t24 t25))
% 78.74/78.89 (step t27 (cl (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) :rule cong :premises (t26))
% 78.74/78.89 (step t28 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t23))
% 78.74/78.89 (step t29 (cl (= (tptp.segmentP tptp.sk2 tptp.sk1) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t28 t24))
% 78.74/78.89 (step t30 (cl (= (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule cong :premises (t29))
% 78.74/78.89 (step t31 (cl (= (or (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))) (or (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) :rule cong :premises (t27 t30))
% 78.74/78.89 (step t32 (cl (or (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule resolution :premises (t21 t31 a200))
% 78.74/78.89 (step t33 (cl (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule or :premises (t32))
% 78.74/78.89 (step t34 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule reordering :premises (t33))
% 78.74/78.89 (step t35 (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)
% 78.74/78.89 (step t36 (cl (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.sk3 tptp.nil) (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 (t35))
% 78.74/78.89 (step t37 (cl (not (= (or (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk1))) (or (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))))) (not (or (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk1)))) (or (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)))) :rule equiv_pos2)
% 78.74/78.89 (step t38 (cl (= tptp.nil tptp.nil)) :rule refl)
% 78.74/78.89 (step t39 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t23))
% 78.74/78.89 (step t40 (cl (= (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk4))) :rule cong :premises (t38 t39))
% 78.74/78.89 (step t41 (cl (= (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk4)))) :rule cong :premises (t40))
% 78.74/78.89 (step t42 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t23))
% 78.74/78.89 (step t43 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t38 t42))
% 78.74/78.89 (step t44 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t43))
% 78.74/78.89 (step t45 (cl (= (or (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk1))) (or (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))))) :rule cong :premises (t41 t44))
% 78.74/78.89 (step t46 (cl (or (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)))) :rule resolution :premises (t37 t45 a191))
% 78.74/78.89 (step t47 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))) :rule or :premises (t46))
% 78.74/78.89 (step t48 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule reordering :premises (t47))
% 78.74/78.89 (step t49 (cl (not (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule or_pos)
% 78.74/78.89 (step t50 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)) (not (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule reordering :premises (t49))
% 78.74/78.89 (step t51 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t52)
% 78.74/78.89 (assume t52.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 78.74/78.89 (step t52.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V)))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.sk4)))
% 78.74/78.89 (step t52.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V)))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule or :premises (t52.t1))
% 78.74/78.89 (step t52.t3 (cl (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule resolution :premises (t52.t2 t52.a0))
% 78.74/78.89 (step t52 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V)))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule subproof :discharge (t52.a0))
% 78.74/78.89 (step t53 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule resolution :premises (t51 t52))
% 78.74/78.89 (step t54 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule implies_neg2)
% 78.74/78.89 (step t55 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t53 t54))
% 78.74/78.89 (step t56 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule contraction :premises (t55))
% 78.74/78.89 (step t57 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V)))) (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule implies :premises (t56))
% 78.74/78.89 (step t58 (cl (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule resolution :premises (t57 a50))
% 78.74/78.89 (step t59 (cl (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule and_neg)
% 78.74/78.89 (step t60 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t61)
% 78.74/78.89 (assume t61.a0 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))
% 78.74/78.89 (assume t61.a1 (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))
% 78.74/78.89 (step t61.t1 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t61.t2)
% 78.74/78.89 (assume t61.t2.a0 (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))
% 78.74/78.89 (assume t61.t2.a1 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))
% 78.74/78.89 (step t61.t2.t1 (cl (= (tptp.app tptp.sk4 tptp.nil) tptp.sk4)) :rule symm :premises (t61.t2.a1))
% 78.74/78.89 (step t61.t2.t2 (cl (= (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)) tptp.sk4)) :rule symm :premises (t61.t2.a0))
% 78.74/78.89 (step t61.t2.t3 (cl (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule symm :premises (t61.t2.t2))
% 78.74/78.89 (step t61.t2.t4 (cl (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule trans :premises (t61.t2.t1 t61.t2.t3))
% 78.74/78.89 (step t61.t2 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule subproof :discharge (t61.t2.a0 t61.t2.a1))
% 78.74/78.89 (step t61.t3 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule and_pos)
% 78.74/78.89 (step t61.t4 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t61.t5 (cl (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule resolution :premises (t61.t2 t61.t3 t61.t4))
% 78.74/78.89 (step t61.t6 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule reordering :premises (t61.t5))
% 78.74/78.89 (step t61.t7 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule contraction :premises (t61.t6))
% 78.74/78.89 (step t61.t8 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t61.t1 t61.t7))
% 78.74/78.89 (step t61.t9 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule implies_neg2)
% 78.74/78.89 (step t61.t10 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (=> (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule resolution :premises (t61.t8 t61.t9))
% 78.74/78.89 (step t61.t11 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule contraction :premises (t61.t10))
% 78.74/78.89 (step t61.t12 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule implies :premises (t61.t11))
% 78.74/78.89 (step t61.t13 (cl (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule and_neg)
% 78.74/78.89 (step t61.t14 (cl (and (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t61.t13 t61.a1 t61.a0))
% 78.74/78.89 (step t61.t15 (cl (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t61.t12 t61.t14))
% 78.74/78.89 (step t61 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule subproof :discharge (t61.a0 t61.a1))
% 78.74/78.89 (step t62 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t63 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule and_pos)
% 78.74/78.89 (step t64 (cl (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))))) :rule resolution :premises (t61 t62 t63))
% 78.74/78.89 (step t65 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule reordering :premises (t64))
% 78.74/78.89 (step t66 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule contraction :premises (t65))
% 78.74/78.89 (step t67 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t60 t66))
% 78.74/78.89 (step t68 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule implies_neg2)
% 78.74/78.89 (step t69 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule resolution :premises (t67 t68))
% 78.74/78.89 (step t70 (cl (=> (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule contraction :premises (t69))
% 78.74/78.89 (step t71 (cl (not (and (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule implies :premises (t70))
% 78.74/78.89 (step t72 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t59 t71))
% 78.74/78.89 (step t73 (cl (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule or_pos)
% 78.74/78.89 (step t74 (cl (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule reordering :premises (t73))
% 78.74/78.89 (step t75 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t76)
% 78.74/78.89 (assume t76.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 78.74/78.89 (step t76.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk4)))
% 78.74/78.89 (step t76.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule or :premises (t76.t1))
% 78.74/78.89 (step t76.t3 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t76.t2 t76.a0))
% 78.74/78.89 (step t76 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule subproof :discharge (t76.a0))
% 78.74/78.89 (step t77 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t75 t76))
% 78.74/78.89 (step t78 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule implies_neg2)
% 78.74/78.89 (step t79 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule resolution :premises (t77 t78))
% 78.74/78.89 (step t80 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule contraction :premises (t79))
% 78.74/78.89 (step t81 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule implies :premises (t80))
% 78.74/78.89 (step t82 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule equiv_pos2)
% 78.74/78.89 (anchor :step t83 :args ((U $$unsorted) (:= U U)))
% 78.74/78.89 (step t83.t1 (cl (= U U)) :rule refl)
% 78.74/78.89 (step t83.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.74/78.89 (step t83.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 78.74/78.89 (step t83.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule cong :premises (t83.t2 t83.t3))
% 78.74/78.89 (step t83 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) :rule bind)
% 78.74/78.89 (step t84 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t82 t83 a72))
% 78.74/78.89 (step t85 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t81 t84))
% 78.74/78.89 (step t86 (cl (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule resolution :premises (t74 a188 t85))
% 78.74/78.89 (step t87 (cl (not (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule or_pos)
% 78.74/78.89 (step t88 (cl (not (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule contraction :premises (t87))
% 78.74/78.89 (step t89 (cl (not (tptp.ssList tptp.sk4)) (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))) (not (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))))) :rule reordering :premises (t88))
% 78.74/78.89 (step t90 (cl (not (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4)) :rule or_pos)
% 78.74/78.89 (step t91 (cl (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4) (not (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4)))) :rule reordering :premises (t90))
% 78.74/78.89 (step t92 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t93)
% 78.74/78.89 (assume t93.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 78.74/78.89 (step t93.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 78.74/78.89 (step t93.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) :rule or :premises (t93.t1))
% 78.74/78.89 (step t93.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) :rule resolution :premises (t93.t2 t93.a0))
% 78.74/78.89 (step t93 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) :rule subproof :discharge (t93.a0))
% 78.74/78.89 (step t94 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) :rule resolution :premises (t92 t93))
% 78.74/78.89 (step t95 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4)))) :rule implies_neg2)
% 78.74/78.89 (step t96 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4)))) :rule resolution :premises (t94 t95))
% 78.74/78.89 (step t97 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4)))) :rule contraction :premises (t96))
% 78.74/78.89 (step t98 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) :rule implies :premises (t97))
% 78.74/78.89 (step t99 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.frontsegP tptp.sk4 tptp.sk4))) :rule resolution :premises (t98 a60))
% 78.74/78.89 (step t100 (cl (tptp.frontsegP tptp.sk4 tptp.sk4)) :rule resolution :premises (t91 a188 t99))
% 78.74/78.89 (step t101 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t102)
% 78.74/78.89 (assume t102.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))))
% 78.74/78.89 (step t102.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.sk4)))
% 78.74/78.89 (step t102.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule or :premises (t102.t1))
% 78.74/78.89 (step t102.t3 (cl (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule resolution :premises (t102.t2 t102.a0))
% 78.74/78.89 (step t102 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule subproof :discharge (t102.a0))
% 78.74/78.89 (step t103 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule resolution :premises (t101 t102))
% 78.74/78.89 (step t104 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (not (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))))) :rule implies_neg2)
% 78.74/78.89 (step t105 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))))) :rule resolution :premises (t103 t104))
% 78.74/78.89 (step t106 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))))) :rule contraction :premises (t105))
% 78.74/78.89 (step t107 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule implies :premises (t106))
% 78.74/78.89 (step t108 (cl (not (= (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))))) (not (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)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) :rule equiv_pos2)
% 78.74/78.89 (anchor :step t109 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.74/78.89 (step t109.t1 (cl (= U U)) :rule refl)
% 78.74/78.89 (step t109.t2 (cl (= V V)) :rule refl)
% 78.74/78.89 (step t109.t3 (cl (= (not (tptp.frontsegP U V)) (not (tptp.frontsegP U V)))) :rule refl)
% 78.74/78.89 (step t109.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.74/78.89 (step t109.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.74/78.89 (step t109.t6 (cl (= (= (tptp.app V (tptp.skaf45 U V)) U) (= U (tptp.app V (tptp.skaf45 U V))))) :rule all_simplify)
% 78.74/78.89 (step t109.t7 (cl (= (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) :rule cong :premises (t109.t3 t109.t4 t109.t5 t109.t6))
% 78.74/78.89 (step t109 (cl (= (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))))) :rule bind)
% 78.74/78.89 (step t110 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V)))))) :rule resolution :premises (t108 t109 a131))
% 78.74/78.89 (step t111 (cl (or (not (tptp.frontsegP tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule resolution :premises (t107 t110))
% 78.74/78.89 (step t112 (cl (= tptp.sk4 (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t89 a188 t100 t111))
% 78.74/78.89 (step t113 (cl (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t72 t86 t112))
% 78.74/78.89 (step t114 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t115)
% 78.74/78.89 (assume t115.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 78.74/78.89 (step t115.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.nil) (:= W (tptp.skaf45 tptp.sk4 tptp.sk4))))
% 78.74/78.89 (step t115.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule or :premises (t115.t1))
% 78.74/78.89 (step t115.t3 (cl (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t115.t2 t115.a0))
% 78.74/78.89 (step t115 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule subproof :discharge (t115.a0))
% 78.74/78.89 (step t116 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t114 t115))
% 78.74/78.89 (step t117 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule implies_neg2)
% 78.74/78.89 (step t118 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule resolution :premises (t116 t117))
% 78.74/78.89 (step t119 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))))) :rule contraction :premises (t118))
% 78.74/78.89 (step t120 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule implies :premises (t119))
% 78.74/78.89 (step t121 (cl (or (not (= (tptp.app tptp.sk4 tptp.nil) (tptp.app tptp.sk4 (tptp.skaf45 tptp.sk4 tptp.sk4)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList (tptp.skaf45 tptp.sk4 tptp.sk4))) (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4)))) :rule resolution :premises (t120 a149))
% 78.74/78.89 (step t122 (cl (= tptp.nil (tptp.skaf45 tptp.sk4 tptp.sk4))) :rule resolution :premises (t50 a7 a188 t58 t113 t121))
% 78.74/78.89 (step t123 (cl (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule or_pos)
% 78.74/78.89 (step t124 (cl (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule contraction :premises (t123))
% 78.74/78.89 (step t125 (cl (not (tptp.ssList tptp.nil)) (not (tptp.segmentP tptp.nil tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule reordering :premises (t124))
% 78.74/78.89 (step t126 (cl (not (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) (not (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U)))) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil))) :rule equiv_pos2)
% 78.74/78.89 (step t127 (cl (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule all_simplify)
% 78.74/78.89 (step t128 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 78.74/78.89 (step t129 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t128))
% 78.74/78.89 (step t130 (cl (= (not true) false)) :rule all_simplify)
% 78.74/78.89 (step t131 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t129 t130))
% 78.74/78.89 (step t132 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 78.74/78.89 (step t133 (cl (= (tptp.segmentP tptp.nil tptp.nil) (tptp.segmentP tptp.nil tptp.nil))) :rule refl)
% 78.74/78.89 (step t134 (cl (= (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or false (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule cong :premises (t131 t132 t133))
% 78.74/78.89 (step t135 (cl (= (or false (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule all_simplify)
% 78.74/78.89 (step t136 (cl (= (or (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule trans :premises (t134 t135))
% 78.74/78.89 (step t137 (cl (= (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)))) :rule trans :premises (t127 t136))
% 78.74/78.89 (step t138 (cl (or (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil))) :rule resolution :premises (t126 t137 a78))
% 78.74/78.89 (step t139 (cl (not (tptp.ssList tptp.nil)) (tptp.segmentP tptp.nil tptp.nil)) :rule or :premises (t138))
% 78.74/78.89 (step t140 (cl (tptp.segmentP tptp.nil tptp.nil)) :rule resolution :premises (t139 a7))
% 78.74/78.89 (step t141 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t142)
% 78.74/78.89 (assume t142.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))
% 78.74/78.89 (step t142.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.nil)))
% 78.74/78.89 (step t142.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule or :premises (t142.t1))
% 78.74/78.89 (step t142.t3 (cl (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule resolution :premises (t142.t2 t142.a0))
% 78.74/78.89 (step t142 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule subproof :discharge (t142.a0))
% 78.74/78.89 (step t143 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule resolution :premises (t141 t142))
% 78.74/78.89 (step t144 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (not (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule implies_neg2)
% 78.74/78.89 (step t145 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule resolution :premises (t143 t144))
% 78.74/78.89 (step t146 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))))) :rule contraction :premises (t145))
% 78.74/78.89 (step t147 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule implies :premises (t146))
% 78.74/78.89 (step t148 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule equiv_pos2)
% 78.74/78.89 (anchor :step t149 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.74/78.89 (step t149.t1 (cl (= U U)) :rule refl)
% 78.74/78.89 (step t149.t2 (cl (= V V)) :rule refl)
% 78.74/78.89 (step t149.t3 (cl (= (not (tptp.segmentP U V)) (not (tptp.segmentP U V)))) :rule refl)
% 78.74/78.89 (step t149.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.74/78.89 (step t149.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.74/78.89 (step t149.t6 (cl (= (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))) :rule all_simplify)
% 78.74/78.89 (step t149.t7 (cl (= (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule cong :premises (t149.t3 t149.t4 t149.t5 t149.t6))
% 78.74/78.89 (step t149 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) :rule bind)
% 78.74/78.89 (step t150 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)))))) :rule resolution :premises (t148 t149 a167))
% 78.74/78.89 (step t151 (cl (or (not (tptp.segmentP tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) :rule resolution :premises (t147 t150))
% 78.74/78.89 (step t152 (cl (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil)))) :rule resolution :premises (t125 a7 t140 t151))
% 78.74/78.89 (step t153 (cl (=> (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))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (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)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t154)
% 78.74/78.89 (assume t154.a0 (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))))
% 78.74/78.89 (step t154.t1 (cl (or (not (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)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (:= V tptp.sk3) (:= W tptp.nil) (:= X (tptp.skaf42 tptp.sk4 tptp.sk5))))
% 78.74/78.89 (step t154.t2 (cl (not (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)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule or :premises (t154.t1))
% 78.74/78.89 (step t154.t3 (cl (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t154.t2 t154.a0))
% 78.74/78.89 (step t154 (cl (not (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)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule subproof :discharge (t154.a0))
% 78.74/78.89 (step t155 (cl (=> (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))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t153 t154))
% 78.74/78.89 (step t156 (cl (=> (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))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 78.74/78.89 (step t157 (cl (=> (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))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (=> (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))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule resolution :premises (t155 t156))
% 78.74/78.89 (step t158 (cl (=> (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))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule contraction :premises (t157))
% 78.74/78.89 (step t159 (cl (not (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)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule implies :premises (t158))
% 78.74/78.89 (step t160 (cl (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t159 a171))
% 78.74/78.89 (step t161 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t162)
% 78.74/78.89 (assume t162.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 78.74/78.89 (step t162.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.sk5)))
% 78.74/78.89 (step t162.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule or :premises (t162.t1))
% 78.74/78.89 (step t162.t3 (cl (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule resolution :premises (t162.t2 t162.a0))
% 78.74/78.89 (step t162 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule subproof :discharge (t162.a0))
% 78.74/78.89 (step t163 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule resolution :premises (t161 t162))
% 78.74/78.89 (step t164 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule implies_neg2)
% 78.74/78.89 (step t165 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule resolution :premises (t163 t164))
% 78.74/78.89 (step t166 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule contraction :premises (t165))
% 78.74/78.89 (step t167 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule implies :premises (t166))
% 78.74/78.89 (step t168 (cl (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule resolution :premises (t167 a52))
% 78.74/78.89 (step t169 (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)
% 78.74/78.89 (anchor :step t170)
% 78.74/78.89 (assume t170.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 78.74/78.89 (step t170.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)))
% 78.74/78.89 (step t170.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 (t170.t1))
% 78.74/78.89 (step t170.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 (t170.t2 t170.a0))
% 78.74/78.89 (step t170 (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 (t170.a0))
% 78.74/78.89 (step t171 (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 (t169 t170))
% 78.74/78.89 (step t172 (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)
% 78.74/78.89 (step t173 (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 (t171 t172))
% 78.74/78.89 (step t174 (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 (t173))
% 78.74/78.89 (step t175 (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 (t174))
% 78.74/78.89 (step t176 (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)
% 78.74/78.89 (anchor :step t177 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.74/78.89 (step t177.t1 (cl (= U U)) :rule refl)
% 78.74/78.89 (step t177.t2 (cl (= V V)) :rule refl)
% 78.74/78.89 (step t177.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.74/78.89 (step t177.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.74/78.89 (step t177.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 78.74/78.89 (step t177.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 78.74/78.89 (step t177.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 (t177.t3 t177.t4 t177.t5 t177.t6))
% 78.74/78.89 (step t177 (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)
% 78.74/78.89 (step t178 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t176 t177 a99))
% 78.74/78.89 (step t179 (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 (t175 t178))
% 78.74/78.89 (step t180 (cl (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule and_neg)
% 78.74/78.89 (step t181 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t182)
% 78.74/78.89 (assume t182.a0 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 78.74/78.89 (assume t182.a1 (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))
% 78.74/78.89 (assume t182.a2 (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 78.74/78.89 (assume t182.a3 (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))
% 78.74/78.89 (assume t182.a4 (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))
% 78.74/78.89 (step t182.t1 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t182.t2)
% 78.74/78.89 (assume t182.t2.a0 (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))
% 78.74/78.89 (assume t182.t2.a1 (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))
% 78.74/78.89 (assume t182.t2.a2 (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))
% 78.74/78.89 (assume t182.t2.a3 (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 78.74/78.89 (assume t182.t2.a4 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 78.74/78.89 (step t182.t2.t1 (cl (= (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule equiv_simplify)
% 78.74/78.89 (step t182.t2.t2 (cl (not (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule equiv1 :premises (t182.t2.t1))
% 78.74/78.89 (step t182.t2.t3 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule symm :premises (t182.t2.a3))
% 78.74/78.89 (step t182.t2.t4 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule symm :premises (t182.t2.t3))
% 78.74/78.89 (step t182.t2.t5 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule refl)
% 78.74/78.89 (step t182.t2.t6 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule cong :premises (t182.t2.t5 t182.t2.a2))
% 78.74/78.89 (step t182.t2.t7 (cl (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3)) :rule symm :premises (t182.t2.a4))
% 78.74/78.89 (step t182.t2.t8 (cl (= (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule symm :premises (t182.t2.a2))
% 78.74/78.89 (step t182.t2.t9 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.app tptp.sk3 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule cong :premises (t182.t2.t7 t182.t2.t8))
% 78.74/78.89 (step t182.t2.t10 (cl (= (tptp.app tptp.nil tptp.sk3) tptp.sk3)) :rule symm :premises (t182.t2.a1))
% 78.74/78.89 (step t182.t2.t11 (cl (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule symm :premises (t182.t2.t10))
% 78.74/78.89 (step t182.t2.t12 (cl (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule refl)
% 78.74/78.89 (step t182.t2.t13 (cl (= (tptp.app tptp.sk3 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule cong :premises (t182.t2.t11 t182.t2.t12))
% 78.74/78.89 (step t182.t2.t14 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule trans :premises (t182.t2.t4 t182.t2.t6 t182.t2.t9 t182.t2.t13))
% 78.74/78.89 (step t182.t2.t15 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 78.74/78.89 (step t182.t2.t16 (cl (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule cong :premises (t182.t2.t14 t182.t2.t15))
% 78.74/78.89 (step t182.t2.t17 (cl (= (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule equiv_simplify)
% 78.74/78.89 (step t182.t2.t18 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule equiv2 :premises (t182.t2.t17))
% 78.74/78.89 (step t182.t2.t19 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true)) :rule resolution :premises (t182.t2.t18 t182.t2.a0))
% 78.74/78.89 (step t182.t2.t20 (cl (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true)) :rule trans :premises (t182.t2.t16 t182.t2.t19))
% 78.74/78.89 (step t182.t2.t21 (cl (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t182.t2.t2 t182.t2.t20))
% 78.74/78.89 (step t182.t2 (cl (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule subproof :discharge (t182.t2.a0 t182.t2.a1 t182.t2.a2 t182.t2.a3 t182.t2.a4))
% 78.74/78.89 (step t182.t3 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule and_pos)
% 78.74/78.89 (step t182.t4 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule and_pos)
% 78.74/78.89 (step t182.t5 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t182.t6 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule and_pos)
% 78.74/78.89 (step t182.t7 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t182.t8 (cl (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t182.t2 t182.t3 t182.t4 t182.t5 t182.t6 t182.t7))
% 78.74/78.89 (step t182.t9 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule reordering :premises (t182.t8))
% 78.74/78.89 (step t182.t10 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule contraction :premises (t182.t9))
% 78.74/78.89 (step t182.t11 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t182.t1 t182.t10))
% 78.74/78.89 (step t182.t12 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule implies_neg2)
% 78.74/78.89 (step t182.t13 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t182.t11 t182.t12))
% 78.74/78.89 (step t182.t14 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule contraction :premises (t182.t13))
% 78.74/78.89 (step t182.t15 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule implies :premises (t182.t14))
% 78.74/78.89 (step t182.t16 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_neg)
% 78.74/78.89 (step t182.t17 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t182.t16 t182.a4 t182.a1 t182.a3 t182.a2 t182.a0))
% 78.74/78.89 (step t182.t18 (cl (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t182.t15 t182.t17))
% 78.74/78.89 (step t182 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule subproof :discharge (t182.a0 t182.a1 t182.a2 t182.a3 t182.a4))
% 78.74/78.89 (step t183 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t184 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule and_pos)
% 78.74/78.89 (step t185 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule and_pos)
% 78.74/78.89 (step t186 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t187 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule and_pos)
% 78.74/78.89 (step t188 (cl (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t182 t183 t184 t185 t186 t187))
% 78.74/78.89 (step t189 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule reordering :premises (t188))
% 78.74/78.89 (step t190 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule contraction :premises (t189))
% 78.74/78.89 (step t191 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t181 t190))
% 78.74/78.89 (step t192 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule implies_neg2)
% 78.74/78.89 (step t193 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t191 t192))
% 78.74/78.89 (step t194 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule contraction :premises (t193))
% 78.74/78.89 (step t195 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule implies :premises (t194))
% 78.74/78.89 (step t196 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t180 t195))
% 78.74/78.89 (step t197 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule reordering :premises (t196))
% 78.74/78.89 (step t198 (cl (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule or_pos)
% 78.74/78.89 (step t199 (cl (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule contraction :premises (t198))
% 78.74/78.89 (step t200 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule reordering :premises (t199))
% 78.74/78.89 (step t201 (cl (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)) :rule or_pos)
% 78.74/78.89 (step t202 (cl (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule reordering :premises (t201))
% 78.74/78.89 (step t203 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t204)
% 78.74/78.89 (assume t204.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 78.74/78.89 (step t204.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 78.74/78.89 (step t204.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule or :premises (t204.t1))
% 78.74/78.89 (step t204.t3 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t204.t2 t204.a0))
% 78.74/78.89 (step t204 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule subproof :discharge (t204.a0))
% 78.74/78.89 (step t205 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t203 t204))
% 78.74/78.89 (step t206 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule implies_neg2)
% 78.74/78.89 (step t207 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t205 t206))
% 78.74/78.89 (step t208 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule contraction :premises (t207))
% 78.74/78.89 (step t209 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule implies :premises (t208))
% 78.74/78.89 (step t210 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t209 a56))
% 78.74/78.89 (step t211 (cl (tptp.segmentP tptp.sk3 tptp.sk3)) :rule resolution :premises (t202 a187 t210))
% 78.74/78.89 (step t212 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t213)
% 78.74/78.89 (assume t213.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 78.74/78.89 (step t213.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.sk4)))
% 78.74/78.89 (step t213.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule or :premises (t213.t1))
% 78.74/78.89 (step t213.t3 (cl (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule resolution :premises (t213.t2 t213.a0))
% 78.74/78.89 (step t213 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule subproof :discharge (t213.a0))
% 78.74/78.89 (step t214 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule resolution :premises (t212 t213))
% 78.74/78.89 (step t215 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule implies_neg2)
% 78.74/78.89 (step t216 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule resolution :premises (t214 t215))
% 78.74/78.89 (step t217 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule contraction :premises (t216))
% 78.74/78.89 (step t218 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule implies :premises (t217))
% 78.74/78.89 (step t219 (cl (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule resolution :premises (t218 a51))
% 78.74/78.89 (step t220 (cl (=> (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))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (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)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t221)
% 78.74/78.89 (assume t221.a0 (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))))
% 78.74/78.89 (step t221.t1 (cl (or (not (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)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3) (:= V tptp.sk3) (:= W (tptp.skaf43 tptp.sk5 tptp.sk4)) (:= X tptp.nil)))
% 78.74/78.89 (step t221.t2 (cl (not (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)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule or :premises (t221.t1))
% 78.74/78.89 (step t221.t3 (cl (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t221.t2 t221.a0))
% 78.74/78.89 (step t221 (cl (not (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)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule subproof :discharge (t221.a0))
% 78.74/78.89 (step t222 (cl (=> (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))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t220 t221))
% 78.74/78.89 (step t223 (cl (=> (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))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule implies_neg2)
% 78.74/78.89 (step t224 (cl (=> (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))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (=> (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))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t222 t223))
% 78.74/78.89 (step t225 (cl (=> (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))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule contraction :premises (t224))
% 78.74/78.89 (step t226 (cl (not (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)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule implies :premises (t225))
% 78.74/78.89 (step t227 (cl (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t226 a171))
% 78.74/78.89 (step t228 (cl (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t200 a7 a187 t211 t219 t227))
% 78.74/78.89 (step t229 (cl (not (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) :rule or_pos)
% 78.74/78.89 (step t230 (cl (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))))) :rule reordering :premises (t229))
% 78.74/78.89 (step t231 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t232)
% 78.74/78.89 (assume t232.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 78.74/78.89 (step t232.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 78.74/78.89 (step t232.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule or :premises (t232.t1))
% 78.74/78.89 (step t232.t3 (cl (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule resolution :premises (t232.t2 t232.a0))
% 78.74/78.89 (step t232 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t232.a0))
% 78.74/78.89 (step t233 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule resolution :premises (t231 t232))
% 78.74/78.89 (step t234 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 78.74/78.89 (step t235 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))))) :rule resolution :premises (t233 t234))
% 78.74/78.89 (step t236 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))))) :rule contraction :premises (t235))
% 78.74/78.89 (step t237 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule implies :premises (t236))
% 78.74/78.89 (step t238 (cl (or (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil)))) :rule resolution :premises (t237 t84))
% 78.74/78.89 (step t239 (cl (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.app (tptp.skaf43 tptp.sk5 tptp.sk4) tptp.nil))) :rule resolution :premises (t230 t219 t238))
% 78.74/78.89 (step t240 (cl (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule or_pos)
% 78.74/78.89 (step t241 (cl (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule reordering :premises (t240))
% 78.74/78.89 (step t242 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t243)
% 78.74/78.89 (assume t243.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 78.74/78.89 (step t243.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule forall_inst :args ((:= U tptp.sk3)))
% 78.74/78.89 (step t243.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule or :premises (t243.t1))
% 78.74/78.89 (step t243.t3 (cl (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t243.t2 t243.a0))
% 78.74/78.89 (step t243 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule subproof :discharge (t243.a0))
% 78.74/78.89 (step t244 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t242 t243))
% 78.74/78.89 (step t245 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule implies_neg2)
% 78.74/78.89 (step t246 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule resolution :premises (t244 t245))
% 78.74/78.89 (step t247 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule contraction :premises (t246))
% 78.74/78.89 (step t248 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule implies :premises (t247))
% 78.74/78.89 (step t249 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 78.74/78.89 (anchor :step t250 :args ((U $$unsorted) (:= U U)))
% 78.74/78.89 (step t250.t1 (cl (= U U)) :rule refl)
% 78.74/78.89 (step t250.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.74/78.89 (step t250.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 78.74/78.89 (step t250.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t250.t2 t250.t3))
% 78.74/78.89 (step t250 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 78.74/78.89 (step t251 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t249 t250 a73))
% 78.74/78.89 (step t252 (cl (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t248 t251))
% 78.74/78.89 (step t253 (cl (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule resolution :premises (t241 a187 t252))
% 78.74/78.89 (step t254 (cl (not (= (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil tptp.sk3))))) (not (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3)))) (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil tptp.sk3)))) :rule equiv_pos2)
% 78.74/78.89 (step t255 (cl (= (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 78.74/78.89 (step t256 (cl (= (= (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true) (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 78.74/78.89 (step t257 (cl (not (= (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t256))
% 78.74/78.89 (step t258 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))))) :rule all_simplify)
% 78.74/78.89 (step t259 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 78.74/78.89 (step t260 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule all_simplify)
% 78.74/78.89 (step t261 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t259 t260))
% 78.74/78.89 (step t262 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) :rule all_simplify)
% 78.74/78.89 (step t263 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) true)) :rule trans :premises (t261 t262))
% 78.74/78.89 (step t264 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) :rule trans :premises (t258 t263))
% 78.74/78.89 (step t265 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t257 t264))
% 78.74/78.89 (step t266 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 78.74/78.89 (step t267 (cl (= (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil tptp.sk3))))) :rule cong :premises (t255 t265 t266))
% 78.74/78.89 (step t268 (cl (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule and_neg)
% 78.74/78.89 (step t269 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t270)
% 78.74/78.89 (assume t270.a0 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 78.74/78.89 (assume t270.a1 (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))
% 78.74/78.89 (step t270.t1 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3))) (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg1)
% 78.74/78.89 (anchor :step t270.t2)
% 78.74/78.89 (assume t270.t2.a0 (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))
% 78.74/78.89 (assume t270.t2.a1 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 78.74/78.89 (step t270.t2.t1 (cl (= (= (= tptp.nil tptp.sk3) false) (not (= tptp.nil tptp.sk3)))) :rule equiv_simplify)
% 78.74/78.89 (step t270.t2.t2 (cl (not (= (= tptp.nil tptp.sk3) false)) (not (= tptp.nil tptp.sk3))) :rule equiv1 :premises (t270.t2.t1))
% 78.74/78.89 (step t270.t2.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 78.74/78.89 (step t270.t2.t4 (cl (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3)) :rule symm :premises (t270.t2.a1))
% 78.74/78.89 (step t270.t2.t5 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule symm :premises (t270.t2.t4))
% 78.74/78.89 (step t270.t2.t6 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t270.t2.t3 t270.t2.t5))
% 78.74/78.89 (step t270.t2.t7 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 78.74/78.89 (step t270.t2.t8 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t270.t2.t7))
% 78.74/78.89 (step t270.t2.t9 (cl (not (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule not_not)
% 78.74/78.89 (step t270.t2.t10 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t270.t2.t8 t270.t2.t9))
% 78.74/78.89 (step t270.t2.t11 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) :rule resolution :premises (t270.t2.t10 t270.t2.a0))
% 78.74/78.89 (step t270.t2.t12 (cl (= (= tptp.nil tptp.sk3) false)) :rule trans :premises (t270.t2.t6 t270.t2.t11))
% 78.74/78.89 (step t270.t2.t13 (cl (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t270.t2.t2 t270.t2.t12))
% 78.74/78.89 (step t270.t2 (cl (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3))) :rule subproof :discharge (t270.t2.a0 t270.t2.a1))
% 78.74/78.89 (step t270.t3 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 78.74/78.89 (step t270.t4 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t270.t5 (cl (not (= tptp.nil tptp.sk3)) (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t270.t2 t270.t3 t270.t4))
% 78.74/78.89 (step t270.t6 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t270.t5))
% 78.74/78.89 (step t270.t7 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) :rule contraction :premises (t270.t6))
% 78.74/78.89 (step t270.t8 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3))) (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t270.t1 t270.t7))
% 78.74/78.89 (step t270.t9 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3))) (not (not (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 78.74/78.89 (step t270.t10 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3))) (=> (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3)))) :rule resolution :premises (t270.t8 t270.t9))
% 78.74/78.89 (step t270.t11 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil tptp.sk3)))) :rule contraction :premises (t270.t10))
% 78.74/78.89 (step t270.t12 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) :rule implies :premises (t270.t11))
% 78.74/78.89 (step t270.t13 (cl (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_neg)
% 78.74/78.89 (step t270.t14 (cl (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t270.t13 t270.a1 t270.a0))
% 78.74/78.89 (step t270.t15 (cl (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t270.t12 t270.t14))
% 78.74/78.89 (step t270 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) :rule subproof :discharge (t270.a0 t270.a1))
% 78.74/78.89 (step t271 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 78.74/78.89 (step t272 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 78.74/78.89 (step t273 (cl (not (= tptp.nil tptp.sk3)) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t270 t271 t272))
% 78.74/78.89 (step t274 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t273))
% 78.74/78.89 (step t275 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.nil tptp.sk3))) :rule contraction :premises (t274))
% 78.74/78.89 (step t276 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t269 t275))
% 78.74/78.89 (step t277 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (not (not (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 78.74/78.89 (step t278 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3)))) :rule resolution :premises (t276 t277))
% 78.74/78.89 (step t279 (cl (=> (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3)))) :rule contraction :premises (t278))
% 78.74/78.89 (step t280 (cl (not (and (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.nil tptp.sk3))) :rule implies :premises (t279))
% 78.74/78.89 (step t281 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t268 t280))
% 78.74/78.89 (step t282 (cl (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (not (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))))) :rule or_neg)
% 78.74/78.89 (step t283 (cl (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (not (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) :rule or_neg)
% 78.74/78.89 (step t284 (cl (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (not (not (= tptp.nil tptp.sk3)))) :rule or_neg)
% 78.74/78.89 (step t285 (cl (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3))) (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3)))) :rule resolution :premises (t281 t282 t283 t284))
% 78.74/78.89 (step t286 (cl (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil tptp.sk3)))) :rule contraction :premises (t285))
% 78.74/78.90 (step t287 (cl (or (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil tptp.sk3)))) :rule resolution :premises (t254 t267 t286))
% 78.74/78.90 (step t288 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (= tptp.nil tptp.sk3))) :rule or :premises (t287))
% 78.74/78.90 (step t289 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t288))
% 78.74/78.90 (step t290 (cl (not (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or_pos)
% 78.74/78.90 (step t291 (cl (not (tptp.ssList tptp.sk4)) (not (tptp.ssItem tptp.sk5)) (not (tptp.memberP tptp.sk4 tptp.sk5)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule reordering :premises (t290))
% 78.74/78.90 (step t292 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule implies_neg1)
% 78.74/78.90 (anchor :step t293)
% 78.74/78.90 (assume t293.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))
% 78.74/78.90 (step t293.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.sk5)))
% 78.74/78.90 (step t293.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule or :premises (t293.t1))
% 78.74/78.90 (step t293.t3 (cl (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t293.t2 t293.a0))
% 78.74/78.90 (step t293 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule subproof :discharge (t293.a0))
% 78.74/78.90 (step t294 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t292 t293))
% 78.74/78.90 (step t295 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (not (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule implies_neg2)
% 78.74/78.90 (step t296 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule resolution :premises (t294 t295))
% 78.74/78.90 (step t297 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule contraction :premises (t296))
% 78.74/78.90 (step t298 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies :premises (t297))
% 78.74/78.90 (step t299 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule equiv_pos2)
% 78.74/78.90 (anchor :step t300 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.74/78.90 (step t300.t1 (cl (= U U)) :rule refl)
% 78.74/78.90 (step t300.t2 (cl (= V V)) :rule refl)
% 78.74/78.90 (step t300.t3 (cl (= (not (tptp.memberP U V)) (not (tptp.memberP U V)))) :rule refl)
% 78.74/78.90 (step t300.t4 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.74/78.90 (step t300.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.74/78.90 (step t300.t6 (cl (= (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) :rule all_simplify)
% 78.74/78.90 (step t300.t7 (cl (= (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule cong :premises (t300.t3 t300.t4 t300.t5 t300.t6))
% 78.74/78.90 (step t300 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))) :rule bind)
% 78.74/78.90 (step t301 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule resolution :premises (t299 t300 a168))
% 78.74/78.90 (step t302 (cl (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t298 t301))
% 78.74/78.90 (step t303 (cl (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule or_pos)
% 78.74/78.90 (step t304 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule reordering :premises (t303))
% 78.74/78.90 (step t305 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule equiv_pos2)
% 78.74/78.90 (step t306 (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)
% 78.74/78.90 (step t307 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 78.74/78.90 (step t308 (cl (= (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule refl)
% 78.74/78.90 (step t309 (cl (= (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule all_simplify)
% 78.74/78.90 (step t310 (cl (= (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule cong :premises (t307 t308 t309))
% 78.74/78.90 (step t311 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule cong :premises (t306 t310))
% 78.74/78.90 (step t312 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 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)
% 78.74/78.90 (anchor :step t313)
% 78.74/78.90 (assume t313.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)))))
% 78.74/78.90 (step t313.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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 78.74/78.90 (step t313.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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or :premises (t313.t1))
% 78.74/78.90 (step t313.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t313.t2 t313.a0))
% 78.74/78.90 (step t313 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule subproof :discharge (t313.a0))
% 78.74/78.90 (step t314 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t312 t313))
% 78.74/78.90 (step t315 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies_neg2)
% 78.74/78.90 (step t316 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t314 t315))
% 78.74/78.90 (step t317 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule contraction :premises (t316))
% 78.74/78.90 (step t318 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t305 t311 t317))
% 78.74/78.90 (step t319 (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.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule implies :premises (t318))
% 78.74/78.90 (step t320 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t319 a119))
% 78.74/78.90 (step t321 (cl (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule or_pos)
% 78.74/78.90 (step t322 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule reordering :premises (t321))
% 78.74/78.90 (step t323 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 78.74/78.90 (anchor :step t324)
% 78.74/78.90 (assume t324.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.74/78.90 (step t324.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 78.74/78.90 (step t324.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or :premises (t324.t1))
% 78.74/78.90 (step t324.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t324.t2 t324.a0))
% 78.74/78.90 (step t324 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule subproof :discharge (t324.a0))
% 78.74/78.90 (step t325 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t323 t324))
% 78.74/78.90 (step t326 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies_neg2)
% 78.74/78.90 (step t327 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t325 t326))
% 78.74/78.90 (step t328 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule contraction :premises (t327))
% 78.74/78.90 (step t329 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule implies :premises (t328))
% 78.74/78.90 (step t330 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t329 a85))
% 78.74/78.90 (step t331 (cl (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 78.74/78.90 (step t332 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk5)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t331))
% 78.74/78.90 (step t333 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 78.74/78.90 (anchor :step t334)
% 78.74/78.90 (assume t334.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.74/78.90 (step t334.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 78.74/78.90 (step t334.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t334.t1))
% 78.74/78.90 (step t334.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t334.t2 t334.a0))
% 78.74/78.90 (step t334 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t334.a0))
% 78.74/78.90 (step t335 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t333 t334))
% 78.74/78.90 (step t336 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 78.74/78.90 (step t337 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t335 t336))
% 78.74/78.90 (step t338 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t337))
% 78.74/78.90 (step t339 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t338))
% 78.74/78.90 (step t340 (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)
% 78.74/78.90 (anchor :step t341 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 78.74/78.90 (step t341.t1 (cl (= U U)) :rule refl)
% 78.74/78.90 (step t341.t2 (cl (= V V)) :rule refl)
% 78.74/78.90 (step t341.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 78.74/78.90 (step t341.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t341.t3))
% 78.74/78.90 (step t341.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 78.74/78.90 (step t341.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 78.74/78.90 (step t341.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 (t341.t4 t341.t5 t341.t6))
% 78.74/78.90 (step t341 (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)
% 78.74/78.90 (step t342 (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 (t340 t341 a97))
% 78.74/78.90 (step t343 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t339 t342))
% 78.74/78.90 (step t344 (cl (tptp.memberP tptp.sk4 tptp.sk5) (= tptp.nil tptp.sk4)) :rule or :premises (a195))
% 78.74/78.90 (step t345 (cl (= tptp.nil tptp.sk4) (tptp.memberP tptp.sk4 tptp.sk5)) :rule reordering :premises (t344))
% 78.74/78.90 (step t346 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (= tptp.nil tptp.sk4)) :rule resolution :premises (t20 t122 t152 t86 t34 t2 t160 t168 a187 a7 t36 t179 a187 a7 t197 t228 t239 t253 t289 t291 t302 a188 t304 t320 t219 t322 t330 t219 t332 t343 a7 t345))
% 78.74/78.90 (step t347 (cl (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (= tptp.nil tptp.sk4)) :rule contraction :premises (t346))
% 78.74/78.90 (step t348 (cl (tptp.ssItem tptp.sk5) (= tptp.nil tptp.sk4)) :rule or :premises (a192))
% 78.74/78.90 (step t349 (cl (not (= (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk4)) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk4)))) (not (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk4))) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk4))) :rule equiv_pos2)
% 78.74/78.90 (step t350 (cl (= (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule all_simplify)
% 78.74/78.90 (step t351 (cl (= (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk4))) :rule refl)
% 78.74/78.90 (step t352 (cl (= (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk4)) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk4)))) :rule cong :premises (t350 t351))
% 78.74/78.90 (step t353 (cl (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t349 t352 a194))
% 78.74/78.90 (step t354 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk4)) :rule or :premises (t353))
% 78.74/78.90 (step t355 (cl (= tptp.nil tptp.sk4) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t354))
% 78.74/78.90 (step t356 (cl (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk4)) :rule resolution :premises (t347 t348 t355))
% 78.74/78.90 (step t357 (cl (= tptp.nil tptp.sk4)) :rule contraction :premises (t356))
% 78.74/78.90 (step t358 (cl (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t48 t357))
% 78.74/78.90 (step t359 (cl (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t36 t358 a7 a187 t179))
% 78.74/78.90 (step t360 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t34 t359))
% 78.74/78.90 (step t361 (cl (tptp.ssItem tptp.sk5) (= tptp.nil tptp.sk3)) :rule or :premises (a193))
% 78.74/78.90 (step t362 (cl (tptp.ssItem tptp.sk5)) :rule resolution :premises (t361 t358))
% 78.74/78.90 (step t363 (cl (tptp.memberP tptp.sk4 tptp.sk5) (= tptp.nil tptp.sk3)) :rule or :premises (a198))
% 78.74/78.90 (step t364 (cl (= tptp.nil tptp.sk3) (tptp.memberP tptp.sk4 tptp.sk5)) :rule reordering :premises (t363))
% 78.74/78.90 (step t365 (cl (tptp.memberP tptp.sk4 tptp.sk5)) :rule resolution :premises (t364 t358))
% 78.74/78.90 (step t366 (cl (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t291 a188 t362 t365 t302))
% 78.74/78.90 (step t367 (cl (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t20 t360 t86 t152 t366 t122))
% 78.74/78.90 (step t368 (cl (not (= (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk3)))) (not (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3))) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk3))) :rule equiv_pos2)
% 78.74/78.90 (step t369 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil tptp.sk3))) :rule refl)
% 78.74/78.90 (step t370 (cl (= (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk3)))) :rule cong :premises (t350 t369))
% 78.74/78.90 (step t371 (cl (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t368 t370 a197))
% 78.74/78.90 (step t372 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil tptp.sk3)) :rule or :premises (t371))
% 78.74/78.90 (step t373 (cl (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t372))
% 78.74/78.90 (step t374 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t373 t358))
% 78.74/78.90 (step t375 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule resolution :premises (t304 t362 t219 t320))
% 78.74/78.90 (step t376 (cl (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t197 t374 t253 t375 t239 t228))
% 78.74/78.90 (step t377 (cl (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule resolution :premises (t322 t362 t219 t330))
% 78.74/78.90 (step t378 (cl) :rule resolution :premises (t2 t367 t376 t160 t377 t168 a187 a7))
% 78.74/78.90
% 78.74/78.90 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.eP0peic0U8/cvc5---1.0.5_15803.smt2
% 78.74/78.90 % cvc5---1.0.5 exiting
% 78.74/78.91 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------