%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC093-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n010.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 18:00:20 EDT 2024

% Result   : Unsatisfiable 80.59s 80.79s
% Output   : Proof 80.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWC093-1 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n010.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun May 26 16:09:24 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.39/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.58/10.74  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.57/15.76  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.59/20.79  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.63/25.81  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.67/30.86  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.65/35.89  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.75/40.93  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.85/46.01  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.85/51.04  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.86/56.11  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.94/61.14  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.01/66.22  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.05/76.26  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 80.59/80.79  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.7LaPUFHPDt/cvc5---1.0.5_3461.smt2
% 80.59/80.79  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.7LaPUFHPDt/cvc5---1.0.5_3461.smt2
% 80.59/80.82  (assume a0 (tptp.equalelemsP tptp.nil))
% 80.59/80.82  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 80.59/80.82  (assume a2 (tptp.strictorderedP tptp.nil))
% 80.59/80.82  (assume a3 (tptp.totalorderedP tptp.nil))
% 80.59/80.82  (assume a4 (tptp.strictorderP tptp.nil))
% 80.59/80.82  (assume a5 (tptp.totalorderP tptp.nil))
% 80.59/80.82  (assume a6 (tptp.cyclefreeP tptp.nil))
% 80.59/80.82  (assume a7 (tptp.ssList tptp.nil))
% 80.59/80.82  (assume a8 (tptp.ssItem tptp.skac3))
% 80.59/80.82  (assume a9 (tptp.ssItem tptp.skac2))
% 80.59/80.82  (assume a10 (not (tptp.singletonP tptp.nil)))
% 80.59/80.82  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 80.59/80.82  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 80.59/80.82  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 80.59/80.82  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 80.59/80.82  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 80.59/80.82  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 80.59/80.82  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 80.59/80.82  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 80.59/80.82  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 80.59/80.82  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 80.59/80.82  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 80.59/80.82  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 80.59/80.82  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 80.59/80.82  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 80.59/80.82  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 80.59/80.82  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 80.59/80.82  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 80.59/80.82  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 80.59/80.82  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 80.59/80.82  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 80.59/80.82  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 80.59/80.82  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 80.59/80.82  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 80.59/80.82  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 80.59/80.82  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 80.59/80.82  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 80.59/80.82  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 80.59/80.82  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 80.59/80.82  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 80.59/80.82  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 80.59/80.82  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 80.59/80.82  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 80.59/80.82  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 80.59/80.82  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 80.59/80.82  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 80.59/80.82  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 80.59/80.82  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 80.59/80.82  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 80.59/80.82  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 80.59/80.82  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 80.59/80.82  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 80.59/80.82  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 80.59/80.82  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 80.59/80.82  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 80.59/80.82  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 80.59/80.82  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 80.59/80.82  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 80.59/80.82  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 80.59/80.82  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 80.59/80.82  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 80.59/80.82  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 80.59/80.82  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 80.59/80.82  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 80.59/80.82  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 80.59/80.82  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 80.59/80.82  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 80.59/80.82  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 80.59/80.82  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 80.59/80.82  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 80.59/80.82  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 80.59/80.82  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 80.59/80.82  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 80.59/80.82  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.59/80.82  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 80.59/80.82  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.59/80.82  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 80.59/80.82  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.59/80.82  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 80.59/80.82  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 80.59/80.82  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 80.59/80.82  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 80.59/80.82  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 80.59/80.82  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 80.59/80.82  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 80.59/80.82  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 80.59/80.82  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 80.59/80.82  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 80.59/80.82  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 80.59/80.82  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 80.59/80.82  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 80.59/80.82  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 80.59/80.82  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 80.59/80.82  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 80.59/80.82  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 80.59/80.82  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 80.59/80.82  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 80.59/80.82  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 80.59/80.82  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 80.59/80.82  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 80.59/80.82  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 80.59/80.82  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 80.59/80.82  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 80.59/80.82  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 80.59/80.82  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 80.59/80.82  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 80.59/80.82  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.59/80.82  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 80.59/80.82  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 80.59/80.82  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 80.59/80.82  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 80.59/80.82  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 80.59/80.82  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 80.59/80.82  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 80.59/80.82  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 80.59/80.82  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 80.59/80.82  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 80.59/80.82  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 80.59/80.82  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 80.59/80.82  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 80.59/80.82  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 80.59/80.82  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 80.59/80.82  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 80.59/80.82  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 80.59/80.82  (assume a135 (forall ((U $$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))))
% 80.59/80.82  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 80.59/80.82  (assume a137 (forall ((U $$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))))
% 80.59/80.82  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 80.59/80.82  (assume a139 (forall ((U $$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))))
% 80.59/80.82  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 80.59/80.82  (assume a141 (forall ((U $$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))))
% 80.59/80.82  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 80.59/80.82  (assume a143 (forall ((U $$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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 80.59/80.82  (assume a146 (forall ((U $$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))))
% 80.59/80.82  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 80.59/80.82  (assume a148 (forall ((U $$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))))))
% 80.59/80.82  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 80.59/80.82  (assume a150 (forall ((U $$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))))
% 80.59/80.82  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 80.59/80.82  (assume a152 (forall ((U $$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))))
% 80.59/80.82  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 80.59/80.82  (assume a154 (forall ((U $$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))))
% 80.59/80.82  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 80.59/80.82  (assume a156 (forall ((U $$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)))))
% 80.59/80.82  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 80.59/80.82  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 80.59/80.82  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 80.59/80.82  (assume a160 (forall ((U $$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))))
% 80.59/80.82  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 80.59/80.82  (assume a162 (forall ((U $$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))))
% 80.59/80.82  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 80.59/80.82  (assume a164 (forall ((U $$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))))
% 80.59/80.82  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 80.59/80.82  (assume a166 (forall ((U $$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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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)))))
% 80.59/80.82  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 80.59/80.82  (assume a179 (forall ((U $$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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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))))
% 80.59/80.82  (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)))))
% 80.59/80.82  (assume a185 (tptp.ssList tptp.sk1))
% 80.59/80.82  (assume a186 (tptp.ssList tptp.sk2))
% 80.59/80.82  (assume a187 (tptp.ssList tptp.sk3))
% 80.59/80.82  (assume a188 (tptp.ssList tptp.sk4))
% 80.59/80.82  (assume a189 (= tptp.sk2 tptp.sk4))
% 80.59/80.82  (assume a190 (= tptp.sk1 tptp.sk3))
% 80.59/80.82  (assume a191 (tptp.neq tptp.sk2 tptp.nil))
% 80.59/80.82  (assume a192 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))
% 80.59/80.82  (assume a193 (or (= tptp.nil tptp.sk3) (not (= tptp.nil tptp.sk4))))
% 80.59/80.82  (assume a194 (or (tptp.ssItem tptp.sk5) (not (tptp.neq tptp.sk4 tptp.nil))))
% 80.59/80.82  (assume a195 (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))))
% 80.59/80.82  (assume a196 (or (tptp.memberP tptp.sk4 tptp.sk5) (not (tptp.neq tptp.sk4 tptp.nil))))
% 80.59/80.82  (step t1 (cl (not (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (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))))) (not (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (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 equiv_pos2)
% 80.59/80.82  (step t2 (cl (= (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule refl)
% 80.59/80.82  (step t3 (cl (= (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 80.59/80.82  (step t4 (cl (= (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule refl)
% 80.59/80.82  (step t5 (cl (= (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule refl)
% 80.59/80.82  (step t6 (cl (= (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule refl)
% 80.59/80.82  (step t7 (cl (= (= (= (not (not (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)) true) (= (not (not (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 equiv_simplify)
% 80.59/80.82  (step t8 (cl (not (= (= (not (not (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)) true)) (= (not (not (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 equiv1 :premises (t7))
% 80.59/80.82  (step t9 (cl (= (= (not (not (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)) (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))))) :rule all_simplify)
% 80.59/80.82  (step t10 (cl (= (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 refl)
% 80.59/80.82  (step t11 (cl (= (not (not (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 all_simplify)
% 80.59/80.82  (step t12 (cl (= (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (not (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) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule cong :premises (t10 t11))
% 80.59/80.82  (step t13 (cl (= (= (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)) true)) :rule all_simplify)
% 80.59/80.82  (step t14 (cl (= (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) (not (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) true)) :rule trans :premises (t12 t13))
% 80.59/80.82  (step t15 (cl (= (= (not (not (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)) true)) :rule trans :premises (t9 t14))
% 80.59/80.82  (step t16 (cl (= (not (not (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 (t8 t15))
% 80.59/80.82  (step t17 (cl (= (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (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 refl)
% 80.59/80.82  (step t18 (cl (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (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 cong :premises (t2 t3 t4 t5 t6 t16 t17))
% 80.59/80.82  (step t19 (cl (not (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))))) (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 equiv_pos2)
% 80.59/80.82  (step t20 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 refl)
% 80.59/80.82  (step t21 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))))) :rule equiv_simplify)
% 80.59/80.82  (step t22 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))))) :rule equiv2 :premises (t21))
% 80.59/80.82  (step t23 (cl (not (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule not_not)
% 80.59/80.82  (step t24 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t22 t23))
% 80.59/80.82  (step t25 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t26)
% 80.59/80.82  (assume t26.a0 (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))
% 80.59/80.82  (assume t26.a1 (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))
% 80.59/80.82  (assume t26.a2 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 80.59/80.82  (assume t26.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))))
% 80.59/80.82  (assume t26.a4 (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 80.59/80.82  (assume t26.a5 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 80.59/80.82  (assume t26.a6 (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))
% 80.59/80.82  (step t26.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 80.59/80.82  (step t26.t2 (cl (= (= false true) false)) :rule all_simplify)
% 80.59/80.82  (step t26.t3 (cl (= (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) false) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule equiv_simplify)
% 80.59/80.82  (step t26.t4 (cl (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) false) (not (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule equiv2 :premises (t26.t3))
% 80.59/80.82  (step t26.t5 (cl (not (not (not (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 not_not)
% 80.59/80.82  (step t26.t6 (cl (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) false) (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t26.t4 t26.t5))
% 80.59/80.82  (step t26.t7 (cl (= (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) false)) :rule resolution :premises (t26.t6 t26.a6))
% 80.59/80.82  (step t26.t8 (cl (= false (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule symm :premises (t26.t7))
% 80.59/80.82  (step t26.t9 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t26.a5))
% 80.59/80.82  (step t26.t10 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule refl)
% 80.59/80.82  (step t26.t11 (cl (= (tptp.app (tptp.app tptp.nil tptp.nil) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule cong :premises (t26.t9 t26.t10))
% 80.59/80.82  (step t26.t12 (cl (= (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.app (tptp.app tptp.nil tptp.nil) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule symm :premises (t26.t11))
% 80.59/80.82  (step t26.t13 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.app tptp.nil tptp.nil) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule trans :premises (t26.a4 t26.t12))
% 80.59/80.82  (step t26.t14 (cl (= (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule symm :premises (t26.a4))
% 80.59/80.82  (step t26.t15 (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 (t26.a3))
% 80.59/80.82  (step t26.t16 (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 (t26.t15))
% 80.59/80.82  (step t26.t17 (cl (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3)) :rule symm :premises (t26.a2))
% 80.59/80.82  (step t26.t18 (cl (= (tptp.app tptp.nil tptp.sk3) tptp.sk3)) :rule symm :premises (t26.a1))
% 80.59/80.82  (step t26.t19 (cl (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule symm :premises (t26.t18))
% 80.59/80.82  (step t26.t20 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.app tptp.nil tptp.sk3))) :rule trans :premises (t26.t17 t26.t19))
% 80.59/80.82  (step t26.t21 (cl (= (tptp.skaf43 tptp.sk5 tptp.sk4) (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule refl)
% 80.59/80.82  (step t26.t22 (cl (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule cong :premises (t26.t20 t26.t21))
% 80.59/80.82  (step t26.t23 (cl (= (tptp.app (tptp.app tptp.nil tptp.nil) (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 (t26.t11 t26.t14 t26.t16 t26.t22))
% 80.59/80.82  (step t26.t24 (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 (t26.t13 t26.t23))
% 80.59/80.82  (step t26.t25 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 80.59/80.82  (step t26.t26 (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 (t26.t24 t26.t25))
% 80.59/80.82  (step t26.t27 (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)
% 80.59/80.82  (step t26.t28 (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 (t26.t27))
% 80.59/80.82  (step t26.t29 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3) true)) :rule resolution :premises (t26.t28 t26.a0))
% 80.59/80.82  (step t26.t30 (cl (= false true)) :rule trans :premises (t26.t8 t26.t26 t26.t29))
% 80.59/80.82  (step t26.t31 (cl false) :rule resolution :premises (t26.t1 t26.t2 t26.t30))
% 80.59/80.82  (step t26 (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.sk3 (tptp.cons tptp.sk5 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) :rule subproof :discharge (t26.a0 t26.a1 t26.a2 t26.a3 t26.a4 t26.a5 t26.a6))
% 80.59/80.82  (step t27 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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 and_pos)
% 80.59/80.82  (step t28 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule and_pos)
% 80.59/80.82  (step t29 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 80.59/80.82  (step t30 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (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)
% 80.59/80.82  (step t31 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule and_pos)
% 80.59/80.82  (step t32 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 80.59/80.82  (step t33 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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 and_pos)
% 80.59/80.82  (step t34 (cl false (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule resolution :premises (t26 t27 t28 t29 t30 t31 t32 t33))
% 80.59/80.82  (step t35 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) false) :rule reordering :premises (t34))
% 80.59/80.82  (step t36 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) false) :rule contraction :premises (t35))
% 80.59/80.82  (step t37 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) false) :rule resolution :premises (t25 t36))
% 80.59/80.82  (step t38 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (not false)) :rule implies_neg2)
% 80.59/80.82  (step t39 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (=> (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false)) :rule resolution :premises (t37 t38))
% 80.59/80.82  (step t40 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false)) :rule contraction :premises (t39))
% 80.59/80.82  (step t41 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))))) :rule implies_simplify)
% 80.59/80.82  (step t42 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule equiv1 :premises (t41))
% 80.59/80.82  (step t43 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule resolution :premises (t40 t42))
% 80.59/80.82  (step t44 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) false)) :rule resolution :premises (t24 t43))
% 80.59/80.82  (step t45 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) false))) :rule cong :premises (t20 t44))
% 80.59/80.82  (step t46 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 all_simplify)
% 80.59/80.82  (step t47 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 trans :premises (t45 t46))
% 80.59/80.82  (step t48 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 implies_neg1)
% 80.59/80.82  (anchor :step t49)
% 80.59/80.82  (assume t49.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 80.59/80.82  (assume t49.a1 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 80.59/80.82  (assume t49.a2 (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))
% 80.59/80.82  (assume t49.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))))
% 80.59/80.82  (assume t49.a4 (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 80.59/80.82  (assume t49.a5 (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))
% 80.59/80.82  (assume t49.a6 (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))
% 80.59/80.82  (step t49.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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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)) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk3 (tptp.cons tptp.sk5 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule and_neg)
% 80.59/80.82  (step t49.t2 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t49.t1 t49.a6 t49.a2 t49.a1 t49.a3 t49.a4 t49.a0 t49.a5))
% 80.59/80.82  (step t49 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule subproof :discharge (t49.a0 t49.a1 t49.a2 t49.a3 t49.a4 t49.a5 t49.a6))
% 80.59/80.82  (step t50 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 80.59/80.82  (step t51 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule and_pos)
% 80.59/80.82  (step t52 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule and_pos)
% 80.59/80.82  (step t53 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (= (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)
% 80.59/80.82  (step t54 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule and_pos)
% 80.59/80.82  (step t55 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule and_pos)
% 80.59/80.82  (step t56 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule and_pos)
% 80.59/80.82  (step t57 (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 resolution :premises (t49 t50 t51 t52 t53 t54 t55 t56))
% 80.59/80.82  (step t58 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule reordering :premises (t57))
% 80.59/80.82  (step t59 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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))) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule contraction :premises (t58))
% 80.59/80.82  (step t60 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t48 t59))
% 80.59/80.82  (step t61 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule implies_neg2)
% 80.59/80.82  (step t62 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule resolution :premises (t60 t61))
% 80.59/80.82  (step t63 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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)) (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.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))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule contraction :premises (t62))
% 80.59/80.82  (step t64 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= 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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (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 resolution :premises (t19 t47 t63))
% 80.59/80.82  (step t65 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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 not_and :premises (t64))
% 80.59/80.82  (step t66 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule or_neg)
% 80.59/80.82  (step t67 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (not (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))))) :rule or_neg)
% 80.59/80.82  (step t68 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule or_neg)
% 80.59/80.82  (step t69 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (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)))))) :rule or_neg)
% 80.59/80.82  (step t70 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (not (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule or_neg)
% 80.59/80.82  (step t71 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (not (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))))) :rule or_neg)
% 80.59/80.82  (step t72 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (not (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule or_neg)
% 80.59/80.82  (step t73 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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 resolution :premises (t65 t66 t67 t68 t69 t70 t71 t72))
% 80.59/80.82  (step t74 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (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 contraction :premises (t73))
% 80.59/80.82  (step t75 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (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 resolution :premises (t1 t18 t74))
% 80.59/80.82  (step t76 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (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.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (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 or :premises (t75))
% 80.59/80.82  (step t77 (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)
% 80.59/80.82  (step t78 (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 (t77))
% 80.59/80.82  (step t79 (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 (t78))
% 80.59/80.82  (step t80 (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)
% 80.59/80.82  (step t81 (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 (t80))
% 80.59/80.82  (step t82 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t83)
% 80.59/80.82  (assume t83.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 80.59/80.82  (step t83.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 80.59/80.82  (step t83.t2 (cl (not (forall ((U $$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 (t83.t1))
% 80.59/80.82  (step t83.t3 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t83.t2 t83.a0))
% 80.59/80.82  (step t83 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule subproof :discharge (t83.a0))
% 80.59/80.82  (step t84 (cl (=> (forall ((U $$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 (t82 t83))
% 80.59/80.82  (step t85 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule implies_neg2)
% 80.59/80.82  (step t86 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t84 t85))
% 80.59/80.82  (step t87 (cl (=> (forall ((U $$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 (t86))
% 80.59/80.82  (step t88 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule implies :premises (t87))
% 80.59/80.82  (step t89 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t88 a56))
% 80.59/80.82  (step t90 (cl (tptp.segmentP tptp.sk3 tptp.sk3)) :rule resolution :premises (t81 a187 t89))
% 80.59/80.82  (step t91 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t92)
% 80.59/80.82  (assume t92.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 80.59/80.82  (step t92.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.sk4)))
% 80.59/80.82  (step t92.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule or :premises (t92.t1))
% 80.59/80.82  (step t92.t3 (cl (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule resolution :premises (t92.t2 t92.a0))
% 80.59/80.82  (step t92 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule subproof :discharge (t92.a0))
% 80.59/80.82  (step t93 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule resolution :premises (t91 t92))
% 80.59/80.82  (step t94 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule implies_neg2)
% 80.59/80.82  (step t95 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule resolution :premises (t93 t94))
% 80.59/80.82  (step t96 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule contraction :premises (t95))
% 80.59/80.82  (step t97 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V)))) (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule implies :premises (t96))
% 80.59/80.82  (step t98 (cl (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) :rule resolution :premises (t97 a51))
% 80.59/80.82  (step t99 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t100)
% 80.59/80.82  (assume t100.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 80.59/80.82  (step t100.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3) (:= V tptp.sk3) (:= W (tptp.skaf43 tptp.sk5 tptp.sk4)) (:= X tptp.nil)))
% 80.59/80.82  (step t100.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule or :premises (t100.t1))
% 80.59/80.82  (step t100.t3 (cl (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t100.t2 t100.a0))
% 80.59/80.82  (step t100 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule subproof :discharge (t100.a0))
% 80.59/80.82  (step t101 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t99 t100))
% 80.59/80.82  (step t102 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule implies_neg2)
% 80.59/80.82  (step t103 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t101 t102))
% 80.59/80.82  (step t104 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)))) :rule contraction :premises (t103))
% 80.59/80.82  (step t105 (cl (not (forall ((U $$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 (t104))
% 80.59/80.82  (step t106 (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 (t105 a171))
% 80.59/80.82  (step t107 (cl (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) :rule resolution :premises (t79 a7 a187 t90 t98 t106))
% 80.59/80.82  (step t108 (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)
% 80.59/80.82  (step t109 (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 (t108))
% 80.59/80.82  (step t110 (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)
% 80.59/80.82  (step t111 (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 (t110))
% 80.59/80.82  (step t112 (cl (tptp.ssItem tptp.sk5) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (a194))
% 80.59/80.82  (step t113 (cl (not (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) (not (tptp.neq tptp.sk2 tptp.nil)) (tptp.neq tptp.sk4 tptp.nil)) :rule equiv_pos2)
% 80.59/80.82  (step t114 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 80.59/80.82  (step t115 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t114 a190 a189))
% 80.59/80.82  (step t116 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t115))
% 80.59/80.82  (step t117 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.59/80.82  (step t118 (cl (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t116 t117))
% 80.59/80.82  (step t119 (cl (tptp.neq tptp.sk4 tptp.nil)) :rule resolution :premises (t113 t118 a191))
% 80.59/80.82  (step t120 (cl (tptp.ssItem tptp.sk5)) :rule resolution :premises (t112 t119))
% 80.59/80.82  (step t121 (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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t122)
% 80.59/80.82  (assume t122.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 80.59/80.82  (step t122.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 80.59/80.82  (step t122.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or :premises (t122.t1))
% 80.59/80.82  (step t122.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t122.t2 t122.a0))
% 80.59/80.82  (step t122 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule subproof :discharge (t122.a0))
% 80.59/80.82  (step t123 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t121 t122))
% 80.59/80.82  (step t124 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies_neg2)
% 80.59/80.82  (step t125 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t123 t124))
% 80.59/80.82  (step t126 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule contraction :premises (t125))
% 80.59/80.82  (step t127 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule implies :premises (t126))
% 80.59/80.82  (step t128 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t127 a85))
% 80.59/80.82  (step t129 (cl (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule resolution :premises (t111 t120 t98 t128))
% 80.59/80.82  (step t130 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t131)
% 80.59/80.82  (assume t131.a0 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 80.59/80.82  (step t131.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.sk5)))
% 80.59/80.82  (step t131.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule or :premises (t131.t1))
% 80.59/80.82  (step t131.t3 (cl (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule resolution :premises (t131.t2 t131.a0))
% 80.59/80.82  (step t131 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule subproof :discharge (t131.a0))
% 80.59/80.82  (step t132 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule resolution :premises (t130 t131))
% 80.59/80.82  (step t133 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule implies_neg2)
% 80.59/80.82  (step t134 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule resolution :premises (t132 t133))
% 80.59/80.82  (step t135 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5)))) :rule contraction :premises (t134))
% 80.59/80.82  (step t136 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V)))) (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule implies :premises (t135))
% 80.59/80.82  (step t137 (cl (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) :rule resolution :premises (t136 a52))
% 80.59/80.82  (step t138 (cl (not (= (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (tptp.segmentP tptp.sk4 tptp.sk3) (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 (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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)))) (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (tptp.segmentP tptp.sk4 tptp.sk3) (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 equiv_pos2)
% 80.59/80.82  (step t139 (cl (= (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule refl)
% 80.59/80.82  (step t140 (cl (= (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule refl)
% 80.59/80.82  (step t141 (cl (= (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) true) (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_simplify)
% 80.59/80.82  (step t142 (cl (not (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) true)) (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv1 :premises (t141))
% 80.59/80.82  (step t143 (cl (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) (= (tptp.segmentP tptp.sk4 tptp.sk3) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))))) :rule all_simplify)
% 80.59/80.82  (step t144 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule refl)
% 80.59/80.82  (step t145 (cl (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule all_simplify)
% 80.59/80.82  (step t146 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule cong :premises (t144 t145))
% 80.59/80.82  (step t147 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3)) true)) :rule all_simplify)
% 80.59/80.82  (step t148 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) true)) :rule trans :premises (t146 t147))
% 80.59/80.82  (step t149 (cl (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) true)) :rule trans :premises (t143 t148))
% 80.59/80.82  (step t150 (cl (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t142 t149))
% 80.59/80.82  (step t151 (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.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 refl)
% 80.59/80.82  (step t152 (cl (= (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (tptp.segmentP tptp.sk4 tptp.sk3) (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 cong :premises (t139 t140 t150 t151))
% 80.59/80.82  (step t153 (cl (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule and_neg)
% 80.59/80.82  (step t154 (cl (=> (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t155)
% 80.59/80.82  (assume t155.a0 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))
% 80.59/80.82  (assume t155.a1 (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 80.59/80.82  (assume t155.a2 (not (tptp.segmentP tptp.sk4 tptp.sk3)))
% 80.59/80.82  (step t155.t1 (cl (=> (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (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))) (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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 implies_neg1)
% 80.59/80.82  (anchor :step t155.t2)
% 80.59/80.82  (assume t155.t2.a0 (not (tptp.segmentP tptp.sk4 tptp.sk3)))
% 80.59/80.82  (assume t155.t2.a1 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))
% 80.59/80.82  (assume t155.t2.a2 (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 80.59/80.82  (step t155.t2.t1 (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) false) (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 equiv_simplify)
% 80.59/80.82  (step t155.t2.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) false)) (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 equiv1 :premises (t155.t2.t1))
% 80.59/80.82  (step t155.t2.t3 (cl (= (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.sk4)) :rule symm :premises (t155.t2.a2))
% 80.59/80.82  (step t155.t2.t4 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.59/80.82  (step t155.t2.t5 (cl (= (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) (tptp.app tptp.sk4 tptp.nil))) :rule cong :premises (t155.t2.t3 t155.t2.t4))
% 80.59/80.82  (step t155.t2.t6 (cl (= (tptp.app tptp.sk4 tptp.nil) tptp.sk4)) :rule symm :premises (t155.t2.a1))
% 80.59/80.82  (step t155.t2.t7 (cl (= (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk4)) :rule trans :premises (t155.t2.t5 t155.t2.t6))
% 80.59/80.82  (step t155.t2.t8 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 80.59/80.82  (step t155.t2.t9 (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) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t155.t2.t7 t155.t2.t8))
% 80.59/80.82  (step t155.t2.t10 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) false) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_simplify)
% 80.59/80.82  (step t155.t2.t11 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) false) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv2 :premises (t155.t2.t10))
% 80.59/80.82  (step t155.t2.t12 (cl (not (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule not_not)
% 80.59/80.82  (step t155.t2.t13 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) false) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t155.t2.t11 t155.t2.t12))
% 80.59/80.82  (step t155.t2.t14 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) false)) :rule resolution :premises (t155.t2.t13 t155.t2.a0))
% 80.59/80.82  (step t155.t2.t15 (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) false)) :rule trans :premises (t155.t2.t9 t155.t2.t14))
% 80.59/80.82  (step t155.t2.t16 (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 (t155.t2.t2 t155.t2.t15))
% 80.59/80.82  (step t155.t2 (cl (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk4 (tptp.app tptp.sk4 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.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 (t155.t2.a0 t155.t2.a1 t155.t2.a2))
% 80.59/80.82  (step t155.t3 (cl (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule and_pos)
% 80.59/80.82  (step t155.t4 (cl (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule and_pos)
% 80.59/80.82  (step t155.t5 (cl (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule and_pos)
% 80.59/80.82  (step t155.t6 (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 (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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 resolution :premises (t155.t2 t155.t3 t155.t4 t155.t5))
% 80.59/80.82  (step t155.t7 (cl (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (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 (t155.t6))
% 80.59/80.82  (step t155.t8 (cl (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (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 contraction :premises (t155.t7))
% 80.59/80.82  (step t155.t9 (cl (=> (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (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.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.t1 t155.t8))
% 80.59/80.82  (step t155.t10 (cl (=> (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (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 (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 implies_neg2)
% 80.59/80.82  (step t155.t11 (cl (=> (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (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))) (=> (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (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 (t155.t9 t155.t10))
% 80.59/80.82  (step t155.t12 (cl (=> (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (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 contraction :premises (t155.t11))
% 80.59/80.82  (step t155.t13 (cl (not (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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)))))) (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 implies :premises (t155.t12))
% 80.59/80.82  (step t155.t14 (cl (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule and_neg)
% 80.59/80.82  (step t155.t15 (cl (and (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= 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 resolution :premises (t155.t14 t155.a2 t155.a0 t155.a1))
% 80.59/80.82  (step t155.t16 (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 (t155.t13 t155.t15))
% 80.59/80.82  (step t155 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 subproof :discharge (t155.a0 t155.a1 t155.a2))
% 80.59/80.82  (step t156 (cl (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule and_pos)
% 80.59/80.82  (step t157 (cl (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 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)
% 80.59/80.82  (step t158 (cl (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule and_pos)
% 80.59/80.82  (step t159 (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 (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) :rule resolution :premises (t155 t156 t157 t158))
% 80.59/80.82  (step t160 (cl (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (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 (t159))
% 80.59/80.82  (step t161 (cl (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (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 contraction :premises (t160))
% 80.59/80.82  (step t162 (cl (=> (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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.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 t161))
% 80.59/80.82  (step t163 (cl (=> (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (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 implies_neg2)
% 80.59/80.82  (step t164 (cl (=> (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (=> (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (t162 t163))
% 80.59/80.82  (step t165 (cl (=> (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 contraction :premises (t164))
% 80.59/80.82  (step t166 (cl (not (and (= 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)))) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (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 implies :premises (t165))
% 80.59/80.82  (step t167 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (t153 t166))
% 80.59/80.82  (step t168 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule or_neg)
% 80.59/80.82  (step t169 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule or_neg)
% 80.59/80.82  (step t170 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (not (not (tptp.segmentP tptp.sk4 tptp.sk3))))) :rule or_neg)
% 80.59/80.82  (step t171 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (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 or_neg)
% 80.59/80.82  (step t172 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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))) (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 (t167 t168 t169 t170 t171))
% 80.59/80.82  (step t173 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (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 contraction :premises (t172))
% 80.59/80.82  (step t174 (cl (or (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (tptp.segmentP tptp.sk4 tptp.sk3) (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 (t138 t152 t173))
% 80.59/80.82  (step t175 (cl (not (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) (not (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (tptp.segmentP tptp.sk4 tptp.sk3) (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 or :premises (t174))
% 80.59/80.82  (step t176 (cl (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk4 (tptp.app tptp.sk4 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.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 (t175))
% 80.59/80.82  (step t177 (cl (not (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))) :rule or_pos)
% 80.59/80.82  (step t178 (cl (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule reordering :premises (t177))
% 80.59/80.82  (step t179 (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)
% 80.59/80.82  (step t180 (cl (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (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 (t179))
% 80.59/80.82  (step t181 (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)
% 80.59/80.82  (step t182 (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)
% 80.59/80.82  (step t183 (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 (t182))
% 80.59/80.82  (step t184 (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)
% 80.59/80.82  (step t185 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule refl)
% 80.59/80.82  (step t186 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule all_simplify)
% 80.59/80.82  (step t187 (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 (t185 t186))
% 80.59/80.82  (step t188 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) :rule all_simplify)
% 80.59/80.82  (step t189 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) true)) :rule trans :premises (t187 t188))
% 80.59/80.82  (step t190 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) true)) :rule trans :premises (t184 t189))
% 80.59/80.82  (step t191 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t183 t190))
% 80.59/80.82  (step t192 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 80.59/80.82  (step t193 (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 (t3 t191 t192))
% 80.59/80.82  (step t194 (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)
% 80.59/80.82  (step t195 (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)
% 80.59/80.82  (anchor :step t196)
% 80.59/80.82  (assume t196.a0 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 80.59/80.82  (assume t196.a1 (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))
% 80.59/80.82  (step t196.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)
% 80.59/80.82  (anchor :step t196.t2)
% 80.59/80.82  (assume t196.t2.a0 (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))
% 80.59/80.82  (assume t196.t2.a1 (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))
% 80.59/80.82  (step t196.t2.t1 (cl (= (= (= tptp.nil tptp.sk3) false) (not (= tptp.nil tptp.sk3)))) :rule equiv_simplify)
% 80.59/80.82  (step t196.t2.t2 (cl (not (= (= tptp.nil tptp.sk3) false)) (not (= tptp.nil tptp.sk3))) :rule equiv1 :premises (t196.t2.t1))
% 80.59/80.82  (step t196.t2.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.59/80.82  (step t196.t2.t4 (cl (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3)) :rule symm :premises (t196.t2.a1))
% 80.59/80.82  (step t196.t2.t5 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule symm :premises (t196.t2.t4))
% 80.59/80.82  (step t196.t2.t6 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t196.t2.t3 t196.t2.t5))
% 80.59/80.82  (step t196.t2.t7 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 80.59/80.82  (step t196.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 (t196.t2.t7))
% 80.59/80.82  (step t196.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)
% 80.59/80.82  (step t196.t2.t10 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t196.t2.t8 t196.t2.t9))
% 80.59/80.82  (step t196.t2.t11 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) :rule resolution :premises (t196.t2.t10 t196.t2.a0))
% 80.59/80.82  (step t196.t2.t12 (cl (= (= tptp.nil tptp.sk3) false)) :rule trans :premises (t196.t2.t6 t196.t2.t11))
% 80.59/80.82  (step t196.t2.t13 (cl (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t196.t2.t2 t196.t2.t12))
% 80.59/80.82  (step t196.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 (t196.t2.a0 t196.t2.a1))
% 80.59/80.82  (step t196.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)
% 80.59/80.82  (step t196.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)
% 80.59/80.82  (step t196.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 (t196.t2 t196.t3 t196.t4))
% 80.59/80.82  (step t196.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 (t196.t5))
% 80.59/80.82  (step t196.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 (t196.t6))
% 80.59/80.82  (step t196.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 (t196.t1 t196.t7))
% 80.59/80.82  (step t196.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)
% 80.59/80.82  (step t196.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 (t196.t8 t196.t9))
% 80.59/80.82  (step t196.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 (t196.t10))
% 80.59/80.82  (step t196.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 (t196.t11))
% 80.59/80.82  (step t196.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)
% 80.59/80.82  (step t196.t14 (cl (and (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t196.t13 t196.a1 t196.a0))
% 80.59/80.82  (step t196.t15 (cl (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t196.t12 t196.t14))
% 80.59/80.82  (step t196 (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 (t196.a0 t196.a1))
% 80.59/80.82  (step t197 (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)
% 80.59/80.82  (step t198 (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)
% 80.59/80.82  (step t199 (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 (t196 t197 t198))
% 80.59/80.82  (step t200 (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 (t199))
% 80.59/80.82  (step t201 (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 (t200))
% 80.59/80.82  (step t202 (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 (t195 t201))
% 80.59/80.82  (step t203 (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)
% 80.59/80.82  (step t204 (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 (t202 t203))
% 80.59/80.82  (step t205 (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 (t204))
% 80.59/80.82  (step t206 (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 (t205))
% 80.59/80.82  (step t207 (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 (t194 t206))
% 80.59/80.82  (step t208 (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)
% 80.59/80.82  (step t209 (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)
% 80.59/80.82  (step t210 (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)
% 80.59/80.82  (step t211 (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 (t207 t208 t209 t210))
% 80.59/80.82  (step t212 (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 (t211))
% 80.59/80.82  (step t213 (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 (t181 t193 t212))
% 80.59/80.82  (step t214 (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 (t213))
% 80.59/80.82  (step t215 (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 (t214))
% 80.59/80.82  (step t216 (cl (not (= (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil))))) (not (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule equiv_pos2)
% 80.59/80.82  (step t217 (cl (= (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)))) :rule all_simplify)
% 80.59/80.82  (step t218 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 80.59/80.82  (step t219 (cl (= (or (= (tptp.cons tptp.sk5 tptp.nil) tptp.sk3) (not (tptp.neq tptp.sk4 tptp.nil))) (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t217 t218))
% 80.59/80.82  (step t220 (cl (or (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t216 t219 a195))
% 80.59/80.82  (step t221 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (t220))
% 80.59/80.82  (step t222 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t221))
% 80.59/80.82  (step t223 (cl (= tptp.sk3 (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t222 t119))
% 80.59/80.82  (step t224 (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)
% 80.59/80.82  (step t225 (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 (t224))
% 80.59/80.82  (step t226 (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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t227)
% 80.59/80.82  (assume t227.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 80.59/80.82  (step t227.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V tptp.nil)))
% 80.59/80.82  (step t227.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t227.t1))
% 80.59/80.82  (step t227.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t227.t2 t227.a0))
% 80.59/80.82  (step t227 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t227.a0))
% 80.59/80.82  (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t226 t227))
% 80.59/80.82  (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 80.59/80.82  (step t230 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t228 t229))
% 80.59/80.82  (step t231 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t230))
% 80.59/80.82  (step t232 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t231))
% 80.59/80.82  (step t233 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t234 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.59/80.82  (step t234.t1 (cl (= U U)) :rule refl)
% 80.59/80.82  (step t234.t2 (cl (= V V)) :rule refl)
% 80.59/80.82  (step t234.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 80.59/80.82  (step t234.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t234.t3))
% 80.59/80.82  (step t234.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 80.59/80.82  (step t234.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.59/80.82  (step t234.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t234.t4 t234.t5 t234.t6))
% 80.59/80.82  (step t234 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 80.59/80.82  (step t235 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t233 t234 a97))
% 80.59/80.82  (step t236 (cl (or (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t232 t235))
% 80.59/80.82  (step t237 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t225 a7 t120 t236))
% 80.59/80.82  (step t238 (cl (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t215 t223 t237))
% 80.59/80.82  (step t239 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t240)
% 80.59/80.82  (assume t240.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 80.59/80.82  (step t240.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk3)))
% 80.59/80.82  (step t240.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule or :premises (t240.t1))
% 80.59/80.82  (step t240.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t240.t2 t240.a0))
% 80.59/80.82  (step t240 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t240.a0))
% 80.59/80.82  (step t241 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t239 t240))
% 80.59/80.82  (step t242 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 80.59/80.82  (step t243 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t241 t242))
% 80.59/80.82  (step t244 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t243))
% 80.59/80.82  (step t245 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule implies :premises (t244))
% 80.59/80.82  (step t246 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t247 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.59/80.82  (step t247.t1 (cl (= U U)) :rule refl)
% 80.59/80.82  (step t247.t2 (cl (= V V)) :rule refl)
% 80.59/80.82  (step t247.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.59/80.82  (step t247.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.59/80.82  (step t247.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 80.59/80.82  (step t247.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 80.59/80.82  (step t247.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t247.t3 t247.t4 t247.t5 t247.t6))
% 80.59/80.82  (step t247 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 80.59/80.82  (step t248 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t246 t247 a99))
% 80.59/80.82  (step t249 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t245 t248))
% 80.59/80.82  (step t250 (cl (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t180 t238 a7 a187 t249))
% 80.59/80.82  (step t251 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t252)
% 80.59/80.82  (assume t252.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))
% 80.59/80.82  (step t252.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule forall_inst :args ((:= A tptp.sk3)))
% 80.59/80.82  (step t252.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule or :premises (t252.t1))
% 80.59/80.82  (step t252.t3 (cl (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t252.t2 t252.a0))
% 80.59/80.82  (step t252 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule subproof :discharge (t252.a0))
% 80.59/80.82  (step t253 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t251 t252))
% 80.59/80.82  (step t254 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (not (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule implies_neg2)
% 80.59/80.82  (step t255 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule resolution :premises (t253 t254))
% 80.59/80.82  (step t256 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule contraction :premises (t255))
% 80.59/80.82  (step t257 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule implies :premises (t256))
% 80.59/80.82  (step t258 (cl (not (= (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))) (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t259 :args ((A $$unsorted) (:= A A)))
% 80.59/80.82  (step t259.t1 (cl (= A A)) :rule refl)
% 80.59/80.82  (step t259.t2 (cl (= (not (tptp.ssList A)) (not (tptp.ssList A)))) :rule refl)
% 80.59/80.82  (step t259.t3 (cl (= (not (tptp.neq A tptp.nil)) (not (tptp.neq A tptp.nil)))) :rule refl)
% 80.59/80.82  (step t259.t4 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t115))
% 80.59/80.82  (step t259.t5 (cl (= A A)) :rule refl)
% 80.59/80.82  (step t259.t6 (cl (= (tptp.segmentP tptp.sk2 A) (tptp.segmentP tptp.sk4 A))) :rule cong :premises (t259.t4 t259.t5))
% 80.59/80.82  (step t259.t7 (cl (= (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk4 A)))) :rule cong :premises (t259.t6))
% 80.59/80.82  (step t259.t8 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t115))
% 80.59/80.82  (step t259.t9 (cl (= (tptp.segmentP tptp.sk1 A) (tptp.segmentP tptp.sk3 A))) :rule cong :premises (t259.t8 t259.t5))
% 80.59/80.82  (step t259.t10 (cl (= (not (tptp.segmentP tptp.sk1 A)) (not (tptp.segmentP tptp.sk3 A)))) :rule cong :premises (t259.t9))
% 80.59/80.82  (step t259.t11 (cl (= (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule cong :premises (t259.t2 t259.t3 t259.t7 t259.t10))
% 80.59/80.82  (step t259 (cl (= (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))) :rule bind)
% 80.59/80.82  (step t260 (cl (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule resolution :premises (t258 t259 a192))
% 80.59/80.82  (step t261 (cl (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t257 t260))
% 80.59/80.82  (step t262 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t178 a187 t250 t90 t261))
% 80.59/80.82  (step t263 (cl (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule or_pos)
% 80.59/80.82  (step t264 (cl (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule reordering :premises (t263))
% 80.59/80.82  (step t265 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t266)
% 80.59/80.82  (assume t266.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 80.59/80.82  (step t266.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk4)))
% 80.59/80.82  (step t266.t2 (cl (not (forall ((U $$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 (t266.t1))
% 80.59/80.82  (step t266.t3 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t266.t2 t266.a0))
% 80.59/80.82  (step t266 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule subproof :discharge (t266.a0))
% 80.59/80.82  (step t267 (cl (=> (forall ((U $$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 (t265 t266))
% 80.59/80.82  (step t268 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule implies_neg2)
% 80.59/80.82  (step t269 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))))) :rule resolution :premises (t267 t268))
% 80.59/80.82  (step t270 (cl (=> (forall ((U $$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 (t269))
% 80.59/80.82  (step t271 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule implies :premises (t270))
% 80.59/80.82  (step t272 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t273 :args ((U $$unsorted) (:= U U)))
% 80.59/80.82  (step t273.t1 (cl (= U U)) :rule refl)
% 80.59/80.82  (step t273.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.59/80.82  (step t273.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 80.59/80.82  (step t273.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 (t273.t2 t273.t3))
% 80.59/80.82  (step t273 (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)
% 80.59/80.82  (step t274 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t272 t273 a72))
% 80.59/80.82  (step t275 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) :rule resolution :premises (t271 t274))
% 80.59/80.82  (step t276 (cl (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil))) :rule resolution :premises (t264 a188 t275))
% 80.59/80.82  (step t277 (cl (not (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or_pos)
% 80.59/80.82  (step t278 (cl (not (tptp.ssList tptp.sk4)) (not (tptp.ssItem tptp.sk5)) (not (tptp.memberP tptp.sk4 tptp.sk5)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule reordering :premises (t277))
% 80.59/80.82  (step t279 (cl (tptp.memberP tptp.sk4 tptp.sk5) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (a196))
% 80.59/80.82  (step t280 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.memberP tptp.sk4 tptp.sk5)) :rule reordering :premises (t279))
% 80.59/80.82  (step t281 (cl (tptp.memberP tptp.sk4 tptp.sk5)) :rule resolution :premises (t280 t119))
% 80.59/80.82  (step t282 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t283)
% 80.59/80.82  (assume t283.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))
% 80.59/80.82  (step t283.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.sk5)))
% 80.59/80.82  (step t283.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule or :premises (t283.t1))
% 80.59/80.82  (step t283.t3 (cl (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t283.t2 t283.a0))
% 80.59/80.82  (step t283 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule subproof :discharge (t283.a0))
% 80.59/80.82  (step t284 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t282 t283))
% 80.59/80.82  (step t285 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (not (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule implies_neg2)
% 80.59/80.82  (step t286 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule resolution :premises (t284 t285))
% 80.59/80.82  (step t287 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule contraction :premises (t286))
% 80.59/80.82  (step t288 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies :premises (t287))
% 80.59/80.82  (step t289 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t290 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.59/80.82  (step t290.t1 (cl (= U U)) :rule refl)
% 80.59/80.82  (step t290.t2 (cl (= V V)) :rule refl)
% 80.59/80.82  (step t290.t3 (cl (= (not (tptp.memberP U V)) (not (tptp.memberP U V)))) :rule refl)
% 80.59/80.82  (step t290.t4 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 80.59/80.82  (step t290.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.59/80.82  (step t290.t6 (cl (= (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))) :rule all_simplify)
% 80.59/80.82  (step t290.t7 (cl (= (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule cong :premises (t290.t3 t290.t4 t290.t5 t290.t6))
% 80.59/80.82  (step t290 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))) :rule bind)
% 80.59/80.82  (step t291 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))))))) :rule resolution :premises (t289 t290 a168))
% 80.59/80.82  (step t292 (cl (or (not (tptp.memberP tptp.sk4 tptp.sk5)) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t288 t291))
% 80.59/80.82  (step t293 (cl (= tptp.sk4 (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t278 a188 t120 t281 t292))
% 80.59/80.82  (step t294 (cl (not (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t176 t262 t276 t293))
% 80.59/80.82  (step t295 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t296)
% 80.59/80.82  (assume t296.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 80.59/80.82  (step t296.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (:= V tptp.sk3) (:= W tptp.nil) (:= X (tptp.skaf42 tptp.sk4 tptp.sk5))))
% 80.59/80.82  (step t296.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule or :premises (t296.t1))
% 80.59/80.82  (step t296.t3 (cl (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t296.t2 t296.a0))
% 80.59/80.82  (step t296 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule subproof :discharge (t296.a0))
% 80.59/80.82  (step t297 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) :rule resolution :premises (t295 t296))
% 80.59/80.82  (step t298 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3))) (not (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 80.59/80.82  (step t299 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule resolution :premises (t297 t298))
% 80.59/80.82  (step t300 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf42 tptp.sk4 tptp.sk5))) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (tptp.segmentP (tptp.app (tptp.app (tptp.skaf42 tptp.sk4 tptp.sk5) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) tptp.nil) tptp.sk3)))) :rule contraction :premises (t299))
% 80.59/80.82  (step t301 (cl (not (forall ((U $$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 (t300))
% 80.59/80.82  (step t302 (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 (t301 a171))
% 80.59/80.82  (step t303 (cl (not (tptp.segmentP (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) tptp.sk3))) :rule resolution :premises (t109 a7 a187 t129 t137 t294 t302))
% 80.59/80.82  (step t304 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or_pos)
% 80.59/80.82  (step t305 (cl (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule reordering :premises (t304))
% 80.59/80.82  (step t306 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t307)
% 80.59/80.82  (assume t307.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 80.59/80.82  (step t307.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))
% 80.59/80.82  (step t307.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule or :premises (t307.t1))
% 80.59/80.82  (step t307.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t307.t2 t307.a0))
% 80.59/80.82  (step t307 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule subproof :discharge (t307.a0))
% 80.59/80.82  (step t308 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t306 t307))
% 80.59/80.82  (step t309 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule implies_neg2)
% 80.59/80.82  (step t310 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule resolution :premises (t308 t309))
% 80.59/80.82  (step t311 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule contraction :premises (t310))
% 80.59/80.82  (step t312 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies :premises (t311))
% 80.59/80.82  (step t313 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t314 :args ((U $$unsorted) (:= U U)))
% 80.59/80.82  (step t314.t1 (cl (= U U)) :rule refl)
% 80.59/80.82  (step t314.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.59/80.82  (step t314.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 80.59/80.82  (step t314.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 (t314.t2 t314.t3))
% 80.59/80.82  (step t314 (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)
% 80.59/80.82  (step t315 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t313 t314 a73))
% 80.59/80.82  (step t316 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t312 t315))
% 80.59/80.82  (step t317 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app tptp.nil (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t305 t129 t316))
% 80.59/80.82  (step t318 (cl (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule or_pos)
% 80.59/80.82  (step t319 (cl (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule reordering :premises (t318))
% 80.59/80.82  (step t320 (cl (not (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule equiv_pos2)
% 80.59/80.82  (step t321 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 80.59/80.82  (step t322 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 80.59/80.82  (step t323 (cl (= (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule refl)
% 80.59/80.82  (step t324 (cl (= (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule all_simplify)
% 80.59/80.82  (step t325 (cl (= (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule cong :premises (t322 t323 t324))
% 80.59/80.82  (step t326 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))))) :rule cong :premises (t321 t325))
% 80.59/80.82  (step t327 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t328)
% 80.59/80.82  (assume t328.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 80.59/80.82  (step t328.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule forall_inst :args ((:= U tptp.sk5) (:= V (tptp.skaf43 tptp.sk5 tptp.sk4))))
% 80.59/80.82  (step t328.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule or :premises (t328.t1))
% 80.59/80.82  (step t328.t3 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t328.t2 t328.a0))
% 80.59/80.82  (step t328 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule subproof :discharge (t328.a0))
% 80.59/80.82  (step t329 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t327 t328))
% 80.59/80.82  (step t330 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4))))) (not (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule implies_neg2)
% 80.59/80.82  (step t331 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t329 t330))
% 80.59/80.82  (step t332 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule contraction :premises (t331))
% 80.59/80.82  (step t333 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))))) :rule resolution :premises (t320 t326 t332))
% 80.59/80.82  (step t334 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule implies :premises (t333))
% 80.59/80.82  (step t335 (cl (or (not (tptp.ssItem tptp.sk5)) (not (tptp.ssList (tptp.skaf43 tptp.sk5 tptp.sk4))) (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4))))) :rule resolution :premises (t334 a119))
% 80.59/80.82  (step t336 (cl (= (tptp.cons tptp.sk5 (tptp.skaf43 tptp.sk5 tptp.sk4)) (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.skaf43 tptp.sk5 tptp.sk4)))) :rule resolution :premises (t319 t120 t98 t335))
% 80.59/80.82  (step t337 (cl (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule or_pos)
% 80.59/80.82  (step t338 (cl (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule reordering :premises (t337))
% 80.59/80.82  (step t339 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 80.59/80.82  (anchor :step t340)
% 80.59/80.82  (assume t340.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 80.59/80.82  (step t340.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule forall_inst :args ((:= U tptp.sk3)))
% 80.59/80.82  (step t340.t2 (cl (not (forall ((U $$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 (t340.t1))
% 80.59/80.82  (step t340.t3 (cl (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t340.t2 t340.a0))
% 80.59/80.82  (step t340 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule subproof :discharge (t340.a0))
% 80.59/80.82  (step t341 (cl (=> (forall ((U $$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 (t339 t340))
% 80.59/80.82  (step t342 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule implies_neg2)
% 80.59/80.82  (step t343 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule resolution :premises (t341 t342))
% 80.59/80.82  (step t344 (cl (=> (forall ((U $$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 (t343))
% 80.59/80.82  (step t345 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule implies :premises (t344))
% 80.59/80.82  (step t346 (cl (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t345 t315))
% 80.59/80.82  (step t347 (cl (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule resolution :premises (t338 a187 t346))
% 80.59/80.82  (step t348 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule equiv_pos2)
% 80.59/80.82  (anchor :step t349 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.59/80.82  (step t349.t1 (cl (= U U)) :rule refl)
% 80.59/80.82  (step t349.t2 (cl (= V V)) :rule refl)
% 80.59/80.82  (step t349.t3 (cl (= (not (= tptp.nil U)) (not (= tptp.nil U)))) :rule refl)
% 80.59/80.82  (step t349.t4 (cl (= (not (= tptp.nil V)) (not (= tptp.nil V)))) :rule refl)
% 80.59/80.82  (step t349.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.59/80.82  (step t349.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.59/80.82  (step t349.t7 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 80.59/80.82  (step t349.t8 (cl (= (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V))))) :rule cong :premises (t349.t3 t349.t4 t349.t5 t349.t6 t349.t7))
% 80.59/80.82  (step t349 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))))) :rule bind)
% 80.59/80.82  (step t350 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 80.59/80.82  (step t351 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 80.59/80.82  (step t352 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t351))
% 80.59/80.82  (step t353 (cl (= (not true) false)) :rule all_simplify)
% 80.59/80.82  (step t354 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t352 t353))
% 80.59/80.82  (step t355 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 80.59/80.82  (step t356 (cl (= (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule refl)
% 80.59/80.82  (step t357 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule cong :premises (t354 t354 t355 t355 t356))
% 80.59/80.82  (step t358 (cl (= (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 80.59/80.82  (step t359 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t357 t358))
% 80.59/80.82  (step t360 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t350 t359))
% 80.59/80.82  (step t361 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t349 t360))
% 80.59/80.82  (step t362 (cl (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t348 t361 a144))
% 80.59/80.82  (step t363 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule or :premises (t362))
% 80.59/80.82  (step t364 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule resolution :premises (t363 a7))
% 80.59/80.82  (step t365 (cl) :rule resolution :premises (t76 t107 t303 t317 t336 t347 t223 t364))
% 80.59/80.82  
% 80.59/80.83  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.7LaPUFHPDt/cvc5---1.0.5_3461.smt2
% 80.59/80.83  % cvc5---1.0.5 exiting
% 80.59/80.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------