%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC031-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n018.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 17:59:59 EDT 2024

% Result   : Unsatisfiable 76.57s 76.93s
% Output   : Proof 76.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC031-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.12  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun May 26 15:55:09 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.18/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.50/10.77  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.56/15.80  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.50/20.82  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.60/25.85  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.64/30.90  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.64/35.94  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.72/41.00  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.75/46.04  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.79/51.06  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.84/56.11  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.88/61.15  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.90/66.23  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.90/76.26  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.57/76.93  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.62g3M5TVCP/cvc5---1.0.5_17535.smt2
% 76.57/76.93  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.62g3M5TVCP/cvc5---1.0.5_17535.smt2
% 76.66/76.97  (assume a0 (tptp.equalelemsP tptp.nil))
% 76.66/76.97  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 76.66/76.97  (assume a2 (tptp.strictorderedP tptp.nil))
% 76.66/76.97  (assume a3 (tptp.totalorderedP tptp.nil))
% 76.66/76.97  (assume a4 (tptp.strictorderP tptp.nil))
% 76.66/76.97  (assume a5 (tptp.totalorderP tptp.nil))
% 76.66/76.97  (assume a6 (tptp.cyclefreeP tptp.nil))
% 76.66/76.97  (assume a7 (tptp.ssList tptp.nil))
% 76.66/76.97  (assume a8 (tptp.ssItem tptp.skac3))
% 76.66/76.97  (assume a9 (tptp.ssItem tptp.skac2))
% 76.66/76.97  (assume a10 (not (tptp.singletonP tptp.nil)))
% 76.66/76.97  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.66/76.97  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.66/76.97  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 76.66/76.97  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 76.66/76.97  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 76.66/76.97  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 76.66/76.97  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 76.66/76.97  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 76.66/76.97  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 76.66/76.97  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 76.66/76.97  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 76.66/76.97  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 76.66/76.97  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 76.66/76.97  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 76.66/76.97  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 76.66/76.97  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 76.66/76.97  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 76.66/76.97  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 76.66/76.97  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 76.66/76.97  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 76.66/76.97  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 76.66/76.97  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 76.66/76.97  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 76.66/76.97  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 76.66/76.97  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 76.66/76.97  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 76.66/76.97  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 76.66/76.97  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 76.66/76.97  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 76.66/76.97  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 76.66/76.97  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 76.66/76.97  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 76.66/76.97  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 76.66/76.97  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 76.66/76.97  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 76.66/76.97  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 76.66/76.97  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 76.66/76.97  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 76.66/76.97  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 76.66/76.97  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 76.66/76.97  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 76.66/76.97  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 76.66/76.97  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 76.66/76.97  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 76.66/76.97  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.66/76.97  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 76.66/76.97  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 76.66/76.97  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 76.66/76.97  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 76.66/76.97  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 76.66/76.97  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 76.66/76.97  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 76.66/76.97  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 76.66/76.97  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 76.66/76.97  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 76.66/76.97  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 76.66/76.97  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.66/76.97  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.66/76.97  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.66/76.97  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.66/76.97  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 76.66/76.97  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.66/76.97  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 76.66/76.97  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.66/76.97  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 76.66/76.97  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.66/76.97  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 76.66/76.97  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.66/76.97  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 76.66/76.97  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 76.66/76.97  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 76.66/76.97  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 76.66/76.97  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 76.66/76.97  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.66/76.97  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.66/76.97  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.66/76.97  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.66/76.97  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 76.66/76.97  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 76.66/76.97  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.66/76.97  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.66/76.97  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 76.66/76.97  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 76.66/76.97  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 76.66/76.97  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 76.66/76.97  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 76.66/76.97  (assume a104 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))))
% 76.66/76.97  (assume a105 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))))
% 76.66/76.97  (assume a106 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))))
% 76.66/76.97  (assume a107 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))))
% 76.66/76.97  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 76.66/76.97  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.66/76.97  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.66/76.97  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 76.66/76.97  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 76.66/76.97  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.66/76.97  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 76.66/76.97  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 76.66/76.97  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.66/76.97  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.66/76.97  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 76.66/76.97  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.66/76.97  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.66/76.97  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.66/76.97  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 76.66/76.97  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 76.66/76.97  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 76.66/76.97  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.66/76.97  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.66/76.97  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.66/76.97  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.66/76.97  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.66/76.97  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 76.66/76.97  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 76.66/76.97  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 76.66/76.97  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 76.66/76.97  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 76.66/76.97  (assume a135 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))))
% 76.66/76.97  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 76.66/76.97  (assume a137 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))))
% 76.66/76.97  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 76.66/76.97  (assume a139 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 76.66/76.97  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 76.66/76.97  (assume a141 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))))
% 76.66/76.97  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 76.66/76.97  (assume a143 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))
% 76.66/76.97  (assume a144 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))
% 76.66/76.97  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 76.66/76.97  (assume a146 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 76.66/76.97  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 76.66/76.97  (assume a148 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 76.66/76.97  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 76.66/76.97  (assume a150 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 76.66/76.97  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 76.66/76.97  (assume a152 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))))
% 76.66/76.97  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 76.66/76.97  (assume a154 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 76.66/76.97  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 76.66/76.97  (assume a156 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))
% 76.66/76.97  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 76.66/76.97  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.66/76.97  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.66/76.97  (assume a160 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))))
% 76.66/76.97  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 76.66/76.97  (assume a162 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))))
% 76.66/76.97  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 76.66/76.97  (assume a164 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))))
% 76.66/76.97  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 76.66/76.97  (assume a166 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))))
% 76.66/76.97  (assume a167 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))
% 76.66/76.97  (assume a168 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))))
% 76.66/76.97  (assume a169 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))))
% 76.66/76.97  (assume a170 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))))
% 76.66/76.97  (assume a171 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 76.66/76.97  (assume a172 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))
% 76.66/76.97  (assume a173 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))))
% 76.66/76.97  (assume a174 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))
% 76.66/76.97  (assume a175 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))))
% 76.66/76.97  (assume a176 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))))
% 76.66/76.97  (assume a177 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))))
% 76.66/76.97  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 76.66/76.97  (assume a179 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))
% 76.66/76.97  (assume a180 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))
% 76.66/76.97  (assume a181 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))))
% 76.66/76.97  (assume a182 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))))
% 76.66/76.97  (assume a183 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))))
% 76.66/76.97  (assume a184 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))))
% 76.66/76.97  (assume a185 (tptp.ssList tptp.sk1))
% 76.66/76.97  (assume a186 (tptp.ssList tptp.sk2))
% 76.66/76.97  (assume a187 (tptp.ssList tptp.sk3))
% 76.66/76.97  (assume a188 (tptp.ssList tptp.sk4))
% 76.66/76.97  (assume a189 (= tptp.sk2 tptp.sk4))
% 76.66/76.97  (assume a190 (= tptp.sk1 tptp.sk3))
% 76.66/76.97  (assume a191 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.66/76.97  (assume a192 (tptp.totalorderedP tptp.sk3))
% 76.66/76.97  (assume a193 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))))
% 76.66/76.97  (assume a194 (or (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk1)))
% 76.66/76.97  (assume a195 (or (= tptp.nil tptp.sk2) (not (= tptp.nil tptp.sk2))))
% 76.66/76.97  (assume a196 (or (not (= tptp.nil tptp.sk1)) (= tptp.nil tptp.sk1)))
% 76.66/76.97  (assume a197 (or (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk2))))
% 76.66/76.97  (step t1 (cl (not (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.66/76.97  (step t2 (cl (= (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule refl)
% 76.66/76.97  (step t3 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 76.66/76.97  (step t4 (cl (= (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule refl)
% 76.66/76.97  (step t5 (cl (= (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule refl)
% 76.66/76.97  (step t6 (cl (= (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true) (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.66/76.97  (step t7 (cl (not (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t6))
% 76.66/76.97  (step t8 (cl (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))))) :rule all_simplify)
% 76.66/76.97  (step t9 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule refl)
% 76.66/76.97  (step t10 (cl (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.66/76.97  (step t11 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule cong :premises (t9 t10))
% 76.66/76.97  (step t12 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) :rule all_simplify)
% 76.66/76.97  (step t13 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) true)) :rule trans :premises (t11 t12))
% 76.66/76.97  (step t14 (cl (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) :rule trans :premises (t8 t13))
% 76.66/76.97  (step t15 (cl (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t7 t14))
% 76.66/76.97  (step t16 (cl (= (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.66/76.97  (step t17 (cl (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t2 t3 t4 t5 t15 t16))
% 76.66/76.97  (step t18 (cl (not (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.66/76.97  (step t19 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.66/76.97  (step t20 (cl (= (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv_simplify)
% 76.66/76.97  (step t21 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv2 :premises (t20))
% 76.66/76.97  (step t22 (cl (not (not (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule not_not)
% 76.66/76.97  (step t23 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t21 t22))
% 76.66/76.97  (step t24 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t25)
% 76.66/76.97  (assume t25.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 76.66/76.97  (assume t25.a1 (= tptp.nil tptp.sk3))
% 76.66/76.97  (assume t25.a2 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 76.66/76.97  (assume t25.a3 (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.66/76.97  (step t25.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 76.66/76.97  (step t25.t2 (cl (= (= false true) false)) :rule all_simplify)
% 76.66/76.97  (step t25.t3 (cl (= (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.66/76.97  (step t25.t4 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t25.t3))
% 76.66/76.97  (step t25.t5 (cl (not (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule not_not)
% 76.66/76.97  (step t25.t6 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t25.t4 t25.t5))
% 76.66/76.97  (step t25.t7 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t25.t6 t25.a3))
% 76.66/76.97  (step t25.t8 (cl (= false (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule symm :premises (t25.t7))
% 76.66/76.97  (step t25.t9 (cl (= (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.66/76.97  (step t25.t10 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t25.t9))
% 76.66/76.97  (step t25.t11 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t25.a0))
% 76.66/76.97  (step t25.t12 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule symm :premises (t25.t11))
% 76.66/76.97  (step t25.t13 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule symm :premises (t25.a2))
% 76.66/76.97  (step t25.t14 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t25.a1))
% 76.66/76.97  (step t25.t15 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil tptp.nil))) :rule trans :premises (t25.t13 t25.t14 t25.t12))
% 76.66/76.97  (step t25.t16 (cl (= (tptp.app tptp.nil tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule symm :premises (t25.t15))
% 76.66/76.97  (step t25.t17 (cl (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule trans :premises (t25.t12 t25.t16))
% 76.66/76.97  (step t25.t18 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t25.t10 t25.t17))
% 76.66/76.97  (step t25.t19 (cl (= false true)) :rule trans :premises (t25.t8 t25.t18))
% 76.66/76.97  (step t25.t20 (cl false) :rule resolution :premises (t25.t1 t25.t2 t25.t19))
% 76.66/76.97  (step t25 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) :rule subproof :discharge (t25.a0 t25.a1 t25.a2 t25.a3))
% 76.66/76.97  (step t26 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t27 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.66/76.97  (step t28 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t29 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.66/76.97  (step t30 (cl false (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t25 t26 t27 t28 t29))
% 76.66/76.97  (step t31 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule reordering :premises (t30))
% 76.66/76.97  (step t32 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule contraction :premises (t31))
% 76.66/76.97  (step t33 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) false) :rule resolution :premises (t24 t32))
% 76.66/76.97  (step t34 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not false)) :rule implies_neg2)
% 76.66/76.97  (step t35 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t33 t34))
% 76.66/76.97  (step t36 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule contraction :premises (t35))
% 76.66/76.97  (step t37 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule implies_simplify)
% 76.66/76.97  (step t38 (cl (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule equiv1 :premises (t37))
% 76.66/76.97  (step t39 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t36 t38))
% 76.66/76.97  (step t40 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t23 t39))
% 76.66/76.97  (step t41 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false))) :rule cong :premises (t19 t40))
% 76.66/76.97  (step t42 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule all_simplify)
% 76.66/76.97  (step t43 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule trans :premises (t41 t42))
% 76.66/76.97  (step t44 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t45)
% 76.66/76.97  (assume t45.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 76.66/76.97  (assume t45.a1 (= tptp.nil tptp.sk3))
% 76.66/76.97  (assume t45.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t45.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.66/76.97  (assume t45.a4 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.66/76.97  (assume t45.a5 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 76.66/76.97  (step t45.t1 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule and_neg)
% 76.66/76.97  (step t45.t2 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t45.t3)
% 76.66/76.97  (assume t45.t3.a0 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.66/76.97  (assume t45.t3.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.66/76.97  (assume t45.t3.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t45.t3.t1 (cl (= (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.66/76.97  (step t45.t3.t2 (cl (not (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t45.t3.t1))
% 76.66/76.97  (step t45.t3.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.66/76.97  (step t45.t3.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t45.t3.a2))
% 76.66/76.97  (step t45.t3.t5 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t45.t3.t4))
% 76.66/76.97  (step t45.t3.t6 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t45.t3.t5))
% 76.66/76.97  (step t45.t3.t7 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t45.t3.a1))
% 76.66/76.97  (step t45.t3.t8 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t45.t3.t6 t45.t3.t7))
% 76.66/76.97  (step t45.t3.t9 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t45.t3.t8 t45.t3.t3))
% 76.66/76.97  (step t45.t3.t10 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t45.t3.t3 t45.t3.t9))
% 76.66/76.97  (step t45.t3.t11 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.66/76.97  (step t45.t3.t12 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t45.t3.t11))
% 76.66/76.97  (step t45.t3.t13 (cl (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule not_not)
% 76.66/76.97  (step t45.t3.t14 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t45.t3.t12 t45.t3.t13))
% 76.66/76.97  (step t45.t3.t15 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t45.t3.t14 t45.t3.a0))
% 76.66/76.97  (step t45.t3.t16 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t45.t3.t10 t45.t3.t15))
% 76.66/76.97  (step t45.t3.t17 (cl (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t45.t3.t2 t45.t3.t16))
% 76.66/76.97  (step t45.t3 (cl (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t45.t3.a0 t45.t3.a1 t45.t3.a2))
% 76.66/76.97  (step t45.t4 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.66/76.97  (step t45.t5 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.66/76.97  (step t45.t6 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t45.t7 (cl (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t45.t3 t45.t4 t45.t5 t45.t6))
% 76.66/76.97  (step t45.t8 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t45.t7))
% 76.66/76.97  (step t45.t9 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t45.t8))
% 76.66/76.97  (step t45.t10 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t45.t2 t45.t9))
% 76.66/76.97  (step t45.t11 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.66/76.97  (step t45.t12 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t45.t10 t45.t11))
% 76.66/76.97  (step t45.t13 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t45.t12))
% 76.66/76.97  (step t45.t14 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t45.t13))
% 76.66/76.97  (step t45.t15 (cl (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.66/76.97  (step t45.t16 (cl (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t45.t15 t45.a4 t45.a3 t45.a2))
% 76.66/76.97  (step t45.t17 (cl (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t45.t14 t45.t16))
% 76.66/76.97  (step t45.t18 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t45.t1 t45.a0 t45.a1 t45.a5 t45.t17))
% 76.66/76.97  (step t45 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t45.a0 t45.a1 t45.a2 t45.a3 t45.a4 t45.a5))
% 76.66/76.97  (step t46 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t47 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.66/76.97  (step t48 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t49 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.66/76.97  (step t50 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.66/76.97  (step t51 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t52 (cl (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t45 t46 t47 t48 t49 t50 t51))
% 76.66/76.97  (step t53 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t52))
% 76.66/76.97  (step t54 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t53))
% 76.66/76.97  (step t55 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t44 t54))
% 76.66/76.97  (step t56 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.66/76.97  (step t57 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t55 t56))
% 76.66/76.97  (step t58 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t57))
% 76.66/76.97  (step t59 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil tptp.sk3) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t18 t43 t58))
% 76.66/76.97  (step t60 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule not_and :premises (t59))
% 76.66/76.97  (step t61 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule or_neg)
% 76.66/76.97  (step t62 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.nil tptp.sk3)))) :rule or_neg)
% 76.66/76.97  (step t63 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or_neg)
% 76.66/76.97  (step t64 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule or_neg)
% 76.66/76.97  (step t65 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))))) :rule or_neg)
% 76.66/76.97  (step t66 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or_neg)
% 76.66/76.97  (step t67 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t60 t61 t62 t63 t64 t65 t66))
% 76.66/76.97  (step t68 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t67))
% 76.66/76.97  (step t69 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t1 t17 t68))
% 76.66/76.97  (step t70 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t69))
% 76.66/76.97  (step t71 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.66/76.97  (step t72 (cl (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t71))
% 76.66/76.97  (step t73 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.66/76.97  (step t74 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t75)
% 76.66/76.97  (assume t75.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t75.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.66/76.97  (assume t75.a2 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.66/76.97  (step t75.t1 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t75.t2)
% 76.66/76.97  (assume t75.t2.a0 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.66/76.97  (assume t75.t2.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.66/76.97  (assume t75.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t75.t2.t1 (cl (= (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.66/76.97  (step t75.t2.t2 (cl (not (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule equiv1 :premises (t75.t2.t1))
% 76.66/76.97  (step t75.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t75.t2.a2))
% 76.66/76.97  (step t75.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t75.t2.t3))
% 76.66/76.97  (step t75.t2.t5 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t75.t2.t4))
% 76.66/76.97  (step t75.t2.t6 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t75.t2.a1))
% 76.66/76.97  (step t75.t2.t7 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t75.t2.t5 t75.t2.t6))
% 76.66/76.97  (step t75.t2.t8 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.66/76.97  (step t75.t2.t9 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t75.t2.t7 t75.t2.t8))
% 76.66/76.97  (step t75.t2.t10 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t75.t2.t9))
% 76.66/76.97  (step t75.t2.t11 (cl (= (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.66/76.97  (step t75.t2.t12 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t75.t2.t11))
% 76.66/76.97  (step t75.t2.t13 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t75.t2.t12 t75.t2.a0))
% 76.66/76.97  (step t75.t2.t14 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t75.t2.t10 t75.t2.t13))
% 76.66/76.97  (step t75.t2.t15 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t75.t2.t2 t75.t2.t14))
% 76.66/76.97  (step t75.t2 (cl (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t75.t2.a0 t75.t2.a1 t75.t2.a2))
% 76.66/76.97  (step t75.t3 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t75.t4 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.66/76.97  (step t75.t5 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t75.t6 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t75.t2 t75.t3 t75.t4 t75.t5))
% 76.66/76.97  (step t75.t7 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t75.t6))
% 76.66/76.97  (step t75.t8 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t75.t7))
% 76.66/76.97  (step t75.t9 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t75.t1 t75.t8))
% 76.66/76.97  (step t75.t10 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.66/76.97  (step t75.t11 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t75.t9 t75.t10))
% 76.66/76.97  (step t75.t12 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t75.t11))
% 76.66/76.97  (step t75.t13 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t75.t12))
% 76.66/76.97  (step t75.t14 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.66/76.97  (step t75.t15 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t75.t14 t75.a2 t75.a1 t75.a0))
% 76.66/76.97  (step t75.t16 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t75.t13 t75.t15))
% 76.66/76.97  (step t75 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t75.a0 t75.a1 t75.a2))
% 76.66/76.97  (step t76 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t77 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.66/76.97  (step t78 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t79 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t75 t76 t77 t78))
% 76.66/76.97  (step t80 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t79))
% 76.66/76.97  (step t81 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t80))
% 76.66/76.97  (step t82 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t74 t81))
% 76.66/76.97  (step t83 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.66/76.97  (step t84 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t82 t83))
% 76.66/76.97  (step t85 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t84))
% 76.66/76.97  (step t86 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t85))
% 76.66/76.97  (step t87 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t73 t86))
% 76.66/76.97  (step t88 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule reordering :premises (t87))
% 76.66/76.97  (step t89 (cl (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)) :rule or_pos)
% 76.66/76.97  (step t90 (cl (= tptp.nil tptp.sk4) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t89))
% 76.66/76.97  (step t91 (cl (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 76.66/76.97  (step t92 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t93)
% 76.66/76.97  (assume t93.a0 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.66/76.97  (assume t93.a1 (= tptp.nil tptp.sk4))
% 76.66/76.97  (step t93.t1 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t93.t2)
% 76.66/76.97  (assume t93.t2.a0 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.66/76.97  (assume t93.t2.a1 (= tptp.nil tptp.sk4))
% 76.66/76.97  (step t93.t2.t1 (cl (= (= (tptp.frontsegP tptp.nil tptp.sk3) true) (tptp.frontsegP tptp.nil tptp.sk3))) :rule equiv_simplify)
% 76.66/76.97  (step t93.t2.t2 (cl (not (= (tptp.frontsegP tptp.nil tptp.sk3) true)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule equiv1 :premises (t93.t2.t1))
% 76.66/76.97  (step t93.t2.t3 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t93.t2.a1))
% 76.66/76.97  (step t93.t2.t4 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t93.t2.t3))
% 76.66/76.97  (step t93.t2.t5 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 76.66/76.97  (step t93.t2.t6 (cl (= (tptp.frontsegP tptp.nil tptp.sk3) (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule cong :premises (t93.t2.t4 t93.t2.t5))
% 76.66/76.97  (step t93.t2.t7 (cl (= (= (tptp.frontsegP tptp.sk4 tptp.sk3) true) (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule equiv_simplify)
% 76.66/76.97  (step t93.t2.t8 (cl (= (tptp.frontsegP tptp.sk4 tptp.sk3) true) (not (tptp.frontsegP tptp.sk4 tptp.sk3))) :rule equiv2 :premises (t93.t2.t7))
% 76.66/76.97  (step t93.t2.t9 (cl (= (tptp.frontsegP tptp.sk4 tptp.sk3) true)) :rule resolution :premises (t93.t2.t8 t93.t2.a0))
% 76.66/76.97  (step t93.t2.t10 (cl (= (tptp.frontsegP tptp.nil tptp.sk3) true)) :rule trans :premises (t93.t2.t6 t93.t2.t9))
% 76.66/76.97  (step t93.t2.t11 (cl (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t93.t2.t2 t93.t2.t10))
% 76.66/76.97  (step t93.t2 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule subproof :discharge (t93.t2.a0 t93.t2.a1))
% 76.66/76.97  (step t93.t3 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.sk4 tptp.sk3)) :rule and_pos)
% 76.66/76.97  (step t93.t4 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.66/76.97  (step t93.t5 (cl (tptp.frontsegP tptp.nil tptp.sk3) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t93.t2 t93.t3 t93.t4))
% 76.66/76.97  (step t93.t6 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule reordering :premises (t93.t5))
% 76.66/76.97  (step t93.t7 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule contraction :premises (t93.t6))
% 76.66/76.97  (step t93.t8 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t93.t1 t93.t7))
% 76.66/76.97  (step t93.t9 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.frontsegP tptp.nil tptp.sk3))) :rule implies_neg2)
% 76.66/76.97  (step t93.t10 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule resolution :premises (t93.t8 t93.t9))
% 76.66/76.97  (step t93.t11 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule contraction :premises (t93.t10))
% 76.66/76.97  (step t93.t12 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule implies :premises (t93.t11))
% 76.66/76.97  (step t93.t13 (cl (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 76.66/76.97  (step t93.t14 (cl (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule resolution :premises (t93.t13 t93.a0 t93.a1))
% 76.66/76.97  (step t93.t15 (cl (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t93.t12 t93.t14))
% 76.66/76.97  (step t93 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule subproof :discharge (t93.a0 t93.a1))
% 76.66/76.97  (step t94 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.sk4 tptp.sk3)) :rule and_pos)
% 76.66/76.97  (step t95 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.66/76.97  (step t96 (cl (tptp.frontsegP tptp.nil tptp.sk3) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t93 t94 t95))
% 76.66/76.97  (step t97 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule reordering :premises (t96))
% 76.66/76.97  (step t98 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule contraction :premises (t97))
% 76.66/76.97  (step t99 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t92 t98))
% 76.66/76.97  (step t100 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.frontsegP tptp.nil tptp.sk3))) :rule implies_neg2)
% 76.66/76.97  (step t101 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule resolution :premises (t99 t100))
% 76.66/76.97  (step t102 (cl (=> (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3))) :rule contraction :premises (t101))
% 76.66/76.97  (step t103 (cl (not (and (tptp.frontsegP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.frontsegP tptp.nil tptp.sk3)) :rule implies :premises (t102))
% 76.66/76.97  (step t104 (cl (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule resolution :premises (t91 t103))
% 76.66/76.97  (step t105 (cl (not (= tptp.nil tptp.sk4)) (not (tptp.frontsegP tptp.sk4 tptp.sk3)) (tptp.frontsegP tptp.nil tptp.sk3)) :rule reordering :premises (t104))
% 76.66/76.97  (step t106 (cl (not (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)) :rule or_pos)
% 76.66/76.97  (step t107 (cl (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t106))
% 76.66/76.97  (step t108 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t109)
% 76.66/76.97  (assume t109.a0 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.66/76.97  (step t109.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 76.66/76.97  (step t109.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule or :premises (t109.t1))
% 76.66/76.97  (step t109.t3 (cl (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t109.t2 t109.a0))
% 76.66/76.97  (step t109 (cl (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t109.a0))
% 76.66/76.97  (step t110 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t108 t109))
% 76.66/76.97  (step t111 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 76.66/76.97  (step t112 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t110 t111))
% 76.66/76.97  (step t113 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t112))
% 76.66/76.97  (step t114 (cl (not (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule implies :premises (t113))
% 76.66/76.97  (step t115 (cl (or (not (tptp.frontsegP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t114 a83))
% 76.66/76.97  (step t116 (cl (not (= (or (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk2))) (or (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4))))) (not (or (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk2)))) (or (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4)))) :rule equiv_pos2)
% 76.66/76.97  (step t117 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.66/76.97  (step t118 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 76.66/76.97  (step t119 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t118 a190 a189))
% 76.66/76.97  (step t120 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t119))
% 76.66/76.97  (step t121 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t117 t120))
% 76.66/76.97  (step t122 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t121))
% 76.66/76.97  (step t123 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t119))
% 76.66/76.97  (step t124 (cl (= (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk4))) :rule cong :premises (t117 t123))
% 76.66/76.97  (step t125 (cl (= (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk4)))) :rule cong :premises (t124))
% 76.66/76.97  (step t126 (cl (= (or (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk2))) (or (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4))))) :rule cong :premises (t122 t125))
% 76.66/76.97  (step t127 (cl (or (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t116 t126 a197))
% 76.66/76.97  (step t128 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule or :premises (t127))
% 76.66/76.97  (step t129 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t128))
% 76.66/76.97  (step t130 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t105 a191 t107 t115 a187 t129))
% 76.66/76.97  (step t131 (cl (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t130))
% 76.66/76.97  (step t132 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t133)
% 76.66/76.97  (assume t133.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 76.66/76.97  (step t133.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.66/76.97  (step t133.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule or :premises (t133.t1))
% 76.66/76.97  (step t133.t3 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t133.t2 t133.a0))
% 76.66/76.97  (step t133 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t133.a0))
% 76.66/76.97  (step t134 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t132 t133))
% 76.66/76.97  (step t135 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.66/76.97  (step t136 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t134 t135))
% 76.66/76.97  (step t137 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t136))
% 76.66/76.97  (step t138 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule implies :premises (t137))
% 76.66/76.97  (step t139 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 76.66/76.97  (anchor :step t140 :args ((U $$unsorted) (:= U U)))
% 76.66/76.97  (step t140.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t140.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.66/76.97  (step t140.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 76.66/76.97  (step t140.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 76.66/76.97  (step t140.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule cong :premises (t140.t2 t140.t3 t140.t4))
% 76.66/76.97  (step t140 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 76.66/76.97  (step t141 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t139 t140 a108))
% 76.66/76.97  (step t142 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t138 t141))
% 76.66/76.97  (step t143 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t90 t131 a188 t142))
% 76.66/76.97  (step t144 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or_pos)
% 76.66/76.97  (step t145 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule reordering :premises (t144))
% 76.66/76.97  (step t146 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t147)
% 76.66/76.97  (assume t147.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.66/76.97  (step t147.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.66/76.97  (step t147.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule or :premises (t147.t1))
% 76.66/76.97  (step t147.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t147.t2 t147.a0))
% 76.66/76.97  (step t147 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule subproof :discharge (t147.a0))
% 76.66/76.97  (step t148 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t146 t147))
% 76.66/76.97  (step t149 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule implies_neg2)
% 76.66/76.97  (step t150 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule resolution :premises (t148 t149))
% 76.66/76.97  (step t151 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule contraction :premises (t150))
% 76.66/76.97  (step t152 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule implies :premises (t151))
% 76.66/76.97  (step t153 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t152 a11))
% 76.66/76.97  (step t154 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t155)
% 76.66/76.97  (assume t155.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.66/76.97  (step t155.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.66/76.97  (step t155.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule or :premises (t155.t1))
% 76.66/76.97  (step t155.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t155.t2 t155.a0))
% 76.66/76.97  (step t155 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule subproof :discharge (t155.a0))
% 76.66/76.97  (step t156 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t154 t155))
% 76.66/76.97  (step t157 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule implies_neg2)
% 76.66/76.97  (step t158 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t156 t157))
% 76.66/76.97  (step t159 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t158))
% 76.66/76.97  (step t160 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule implies :premises (t159))
% 76.66/76.97  (step t161 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t160 a12))
% 76.66/76.97  (step t162 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t163)
% 76.66/76.97  (assume t163.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 76.66/76.97  (step t163.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t163.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or :premises (t163.t1))
% 76.66/76.97  (step t163.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t163.t2 t163.a0))
% 76.66/76.97  (step t163 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule subproof :discharge (t163.a0))
% 76.66/76.97  (step t164 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t162 t163))
% 76.66/76.97  (step t165 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule implies_neg2)
% 76.66/76.97  (step t166 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t164 t165))
% 76.66/76.97  (step t167 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule contraction :premises (t166))
% 76.66/76.97  (step t168 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies :premises (t167))
% 76.66/76.97  (step t169 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 76.66/76.97  (anchor :step t170 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.66/76.97  (step t170.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t170.t2 (cl (= V V)) :rule refl)
% 76.66/76.97  (step t170.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.66/76.97  (step t170.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.66/76.97  (step t170.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 76.66/76.97  (step t170.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t170.t3 t170.t4 t170.t5))
% 76.66/76.97  (step t170 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 76.66/76.97  (step t171 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t169 t170 a96))
% 76.66/76.97  (step t172 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t168 t171))
% 76.66/76.97  (step t173 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t145 t153 t161 t172))
% 76.66/76.97  (step t174 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.66/76.97  (step t175 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t174))
% 76.66/76.97  (step t176 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t177)
% 76.66/76.97  (assume t177.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.66/76.97  (step t177.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.66/76.97  (step t177.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t177.t1))
% 76.66/76.97  (step t177.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t177.t2 t177.a0))
% 76.66/76.97  (step t177 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t177.a0))
% 76.66/76.97  (step t178 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t176 t177))
% 76.66/76.97  (step t179 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.66/76.97  (step t180 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t178 t179))
% 76.66/76.97  (step t181 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t180))
% 76.66/76.97  (step t182 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t181))
% 76.66/76.97  (step t183 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t182 a85))
% 76.66/76.97  (step t184 (cl (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t175 a7 t153 t183))
% 76.66/76.97  (step t185 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t88 t143 t173 t184))
% 76.66/76.97  (step t186 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 76.66/76.97  (step t187 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t186))
% 76.66/76.97  (step t188 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.66/76.97  (step t189 (cl (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t188))
% 76.66/76.97  (step t190 (cl (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)) :rule or_pos)
% 76.66/76.97  (step t191 (cl (= tptp.nil tptp.sk4) (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t190))
% 76.66/76.97  (step t192 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t193)
% 76.66/76.97  (assume t193.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.66/76.97  (step t193.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.66/76.97  (step t193.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule or :premises (t193.t1))
% 76.66/76.97  (step t193.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t193.t2 t193.a0))
% 76.66/76.97  (step t193 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t193.a0))
% 76.66/76.97  (step t194 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t192 t193))
% 76.66/76.97  (step t195 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.66/76.97  (step t196 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t194 t195))
% 76.66/76.97  (step t197 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t196))
% 76.66/76.97  (step t198 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies :premises (t197))
% 76.66/76.97  (step t199 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t198 a75))
% 76.66/76.97  (step t200 (cl (tptp.ssItem (tptp.hd tptp.sk4))) :rule resolution :premises (t191 t131 a188 t199))
% 76.66/76.97  (step t201 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t202)
% 76.66/76.97  (assume t202.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 76.66/76.97  (step t202.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4))))
% 76.66/76.97  (step t202.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t202.t1))
% 76.66/76.97  (step t202.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t202.t2 t202.a0))
% 76.66/76.97  (step t202 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t202.a0))
% 76.66/76.97  (step t203 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t201 t202))
% 76.66/76.97  (step t204 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.66/76.97  (step t205 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t203 t204))
% 76.66/76.97  (step t206 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t205))
% 76.66/76.97  (step t207 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t206))
% 76.66/76.97  (step t208 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t207 a66))
% 76.66/76.97  (step t209 (cl (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t189 t200 t208))
% 76.66/76.97  (step t210 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.66/76.97  (step t211 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t212)
% 76.66/76.97  (assume t212.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t212.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.66/76.97  (assume t212.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t212.a3 (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.66/76.97  (step t212.t1 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t212.t2)
% 76.66/76.97  (assume t212.t2.a0 (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.66/76.97  (assume t212.t2.a1 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t212.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t212.t2.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.66/76.97  (step t212.t2.t1 (cl (= (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.66/76.97  (step t212.t2.t2 (cl (not (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule equiv1 :premises (t212.t2.t1))
% 76.66/76.97  (step t212.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t212.t2.a2))
% 76.66/76.97  (step t212.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t212.t2.t3))
% 76.66/76.97  (step t212.t2.t5 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t212.t2.a1))
% 76.66/76.97  (step t212.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t212.t2.t5))
% 76.66/76.97  (step t212.t2.t7 (cl (= tptp.sk4 (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule trans :premises (t212.t2.t4 t212.t2.t6))
% 76.66/76.97  (step t212.t2.t8 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t212.t2.t4))
% 76.66/76.97  (step t212.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t212.t2.a3))
% 76.66/76.97  (step t212.t2.t10 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t212.t2.t8 t212.t2.t9))
% 76.66/76.97  (step t212.t2.t11 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.66/76.97  (step t212.t2.t12 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t212.t2.t10 t212.t2.t11))
% 76.66/76.97  (step t212.t2.t13 (cl (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t212.t2.t7 t212.t2.t12))
% 76.66/76.97  (step t212.t2.t14 (cl (= (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.66/76.97  (step t212.t2.t15 (cl (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t212.t2.t14))
% 76.66/76.97  (step t212.t2.t16 (cl (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t212.t2.t15 t212.t2.a0))
% 76.66/76.97  (step t212.t2.t17 (cl (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t212.t2.t13 t212.t2.t16))
% 76.66/76.97  (step t212.t2.t18 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t212.t2.t2 t212.t2.t17))
% 76.66/76.97  (step t212.t2 (cl (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t212.t2.a0 t212.t2.a1 t212.t2.a2 t212.t2.a3))
% 76.66/76.97  (step t212.t3 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t212.t4 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t212.t5 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t212.t6 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.66/76.97  (step t212.t7 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t212.t2 t212.t3 t212.t4 t212.t5 t212.t6))
% 76.66/76.97  (step t212.t8 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t212.t7))
% 76.66/76.97  (step t212.t9 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t212.t8))
% 76.66/76.97  (step t212.t10 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t212.t1 t212.t9))
% 76.66/76.97  (step t212.t11 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.66/76.97  (step t212.t12 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t212.t10 t212.t11))
% 76.66/76.97  (step t212.t13 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t212.t12))
% 76.66/76.97  (step t212.t14 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t212.t13))
% 76.66/76.97  (step t212.t15 (cl (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule and_neg)
% 76.66/76.97  (step t212.t16 (cl (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t212.t15 t212.a3 t212.a2 t212.a0 t212.a1))
% 76.66/76.97  (step t212.t17 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t212.t14 t212.t16))
% 76.66/76.97  (step t212 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t212.a0 t212.a1 t212.a2 t212.a3))
% 76.66/76.97  (step t213 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t214 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.66/76.97  (step t215 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t216 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.66/76.97  (step t217 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t212 t213 t214 t215 t216))
% 76.66/76.97  (step t218 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t217))
% 76.66/76.97  (step t219 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t218))
% 76.66/76.97  (step t220 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t211 t219))
% 76.66/76.97  (step t221 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.66/76.97  (step t222 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t220 t221))
% 76.66/76.97  (step t223 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t222))
% 76.66/76.97  (step t224 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t223))
% 76.66/76.97  (step t225 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t210 t224))
% 76.66/76.97  (step t226 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule reordering :premises (t225))
% 76.66/76.97  (step t227 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule or_pos)
% 76.66/76.97  (step t228 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule reordering :premises (t227))
% 76.66/76.97  (step t229 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule equiv_pos2)
% 76.66/76.97  (step t230 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 76.66/76.97  (step t231 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))))) :rule refl)
% 76.66/76.97  (step t232 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))))) :rule refl)
% 76.66/76.97  (step t233 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule all_simplify)
% 76.66/76.97  (step t234 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule cong :premises (t231 t232 t233))
% 76.66/76.97  (step t235 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) :rule cong :premises (t230 t234))
% 76.66/76.97  (step t236 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t237)
% 76.66/76.97  (assume t237.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.66/76.97  (step t237.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t237.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or :premises (t237.t1))
% 76.66/76.97  (step t237.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t237.t2 t237.a0))
% 76.66/76.97  (step t237 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule subproof :discharge (t237.a0))
% 76.66/76.97  (step t238 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t236 t237))
% 76.66/76.97  (step t239 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg2)
% 76.66/76.97  (step t240 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t238 t239))
% 76.66/76.97  (step t241 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule contraction :premises (t240))
% 76.66/76.97  (step t242 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t229 t235 t241))
% 76.66/76.97  (step t243 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies :premises (t242))
% 76.66/76.97  (step t244 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t243 a119))
% 76.66/76.97  (step t245 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t228 t153 t161 t244))
% 76.66/76.97  (step t246 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.66/76.97  (step t247 (cl (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t246))
% 76.66/76.97  (step t248 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.66/76.97  (step t249 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t250)
% 76.66/76.97  (assume t250.a0 (tptp.ssList tptp.sk4))
% 76.66/76.97  (assume t250.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t250.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t250.t1 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t250.t2)
% 76.66/76.97  (assume t250.t2.a0 (tptp.ssList tptp.sk4))
% 76.66/76.97  (assume t250.t2.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (assume t250.t2.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t250.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule equiv_simplify)
% 76.66/76.97  (step t250.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true)) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule equiv1 :premises (t250.t2.t1))
% 76.66/76.97  (step t250.t2.t3 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t250.t2.a2))
% 76.66/76.97  (step t250.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t250.t2.t3))
% 76.66/76.97  (step t250.t2.t5 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t250.t2.t4))
% 76.66/76.97  (step t250.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t250.t2.a1))
% 76.66/76.97  (step t250.t2.t7 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t250.t2.t6))
% 76.66/76.97  (step t250.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t250.t2.t7))
% 76.66/76.97  (step t250.t2.t9 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule trans :premises (t250.t2.t5 t250.t2.t8))
% 76.66/76.97  (step t250.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.ssList tptp.sk4))) :rule cong :premises (t250.t2.t9))
% 76.66/76.97  (step t250.t2.t11 (cl (= (= (tptp.ssList tptp.sk4) true) (tptp.ssList tptp.sk4))) :rule equiv_simplify)
% 76.66/76.97  (step t250.t2.t12 (cl (= (tptp.ssList tptp.sk4) true) (not (tptp.ssList tptp.sk4))) :rule equiv2 :premises (t250.t2.t11))
% 76.66/76.97  (step t250.t2.t13 (cl (= (tptp.ssList tptp.sk4) true)) :rule resolution :premises (t250.t2.t12 t250.t2.a0))
% 76.66/76.97  (step t250.t2.t14 (cl (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true)) :rule trans :premises (t250.t2.t10 t250.t2.t13))
% 76.66/76.97  (step t250.t2.t15 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t250.t2.t2 t250.t2.t14))
% 76.66/76.97  (step t250.t2 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule subproof :discharge (t250.t2.a0 t250.t2.a1 t250.t2.a2))
% 76.66/76.97  (step t250.t3 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList tptp.sk4)) :rule and_pos)
% 76.66/76.97  (step t250.t4 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t250.t5 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t250.t6 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t250.t2 t250.t3 t250.t4 t250.t5))
% 76.66/76.97  (step t250.t7 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule reordering :premises (t250.t6))
% 76.66/76.97  (step t250.t8 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t250.t7))
% 76.66/76.97  (step t250.t9 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t250.t1 t250.t8))
% 76.66/76.97  (step t250.t10 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg2)
% 76.66/76.97  (step t250.t11 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t250.t9 t250.t10))
% 76.66/76.97  (step t250.t12 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t250.t11))
% 76.66/76.97  (step t250.t13 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule implies :premises (t250.t12))
% 76.66/76.97  (step t250.t14 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.66/76.97  (step t250.t15 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t250.t14 t250.a0 t250.a1 t250.a2))
% 76.66/76.97  (step t250.t16 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t250.t13 t250.t15))
% 76.66/76.97  (step t250 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule subproof :discharge (t250.a0 t250.a1 t250.a2))
% 76.66/76.97  (step t251 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList tptp.sk4)) :rule and_pos)
% 76.66/76.97  (step t252 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t253 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.66/76.97  (step t254 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t250 t251 t252 t253))
% 76.66/76.97  (step t255 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule reordering :premises (t254))
% 76.66/76.97  (step t256 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t255))
% 76.66/76.97  (step t257 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t249 t256))
% 76.66/76.97  (step t258 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg2)
% 76.66/76.97  (step t259 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t257 t258))
% 76.66/76.97  (step t260 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t259))
% 76.66/76.97  (step t261 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule implies :premises (t260))
% 76.66/76.97  (step t262 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t248 t261))
% 76.66/76.97  (step t263 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t262 a188 t143 t245))
% 76.66/76.97  (step t264 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t265)
% 76.66/76.97  (assume t265.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 76.66/76.97  (step t265.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.66/76.97  (step t265.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t265.t1))
% 76.66/76.97  (step t265.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t265.t2 t265.a0))
% 76.66/76.97  (step t265 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t265.a0))
% 76.66/76.97  (step t266 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t264 t265))
% 76.66/76.97  (step t267 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.66/76.97  (step t268 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t266 t267))
% 76.66/76.97  (step t269 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t268))
% 76.66/76.97  (step t270 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t269))
% 76.66/76.97  (step t271 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule equiv_pos2)
% 76.66/76.97  (anchor :step t272 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 76.66/76.97  (step t272.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t272.t2 (cl (= V V)) :rule refl)
% 76.66/76.97  (step t272.t3 (cl (= W W)) :rule refl)
% 76.66/76.97  (step t272.t4 (cl (= (= (tptp.app U V) W) (= W (tptp.app U V)))) :rule all_simplify)
% 76.66/76.97  (step t272.t5 (cl (= (not (= (tptp.app U V) W)) (not (= W (tptp.app U V))))) :rule cong :premises (t272.t4))
% 76.66/76.97  (step t272.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.66/76.97  (step t272.t7 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.66/76.97  (step t272.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 76.66/76.97  (step t272.t9 (cl (= (tptp.frontsegP W U) (tptp.frontsegP W U))) :rule refl)
% 76.66/76.97  (step t272.t10 (cl (= (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) :rule cong :premises (t272.t5 t272.t6 t272.t7 t272.t8 t272.t9))
% 76.66/76.97  (step t272 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))) :rule bind)
% 76.66/76.97  (step t273 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule all_simplify)
% 76.66/76.97  (anchor :step t274 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.66/76.97  (step t274.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t274.t2 (cl (= V V)) :rule refl)
% 76.66/76.97  (step t274.t3 (cl (= (= (tptp.app U V) (tptp.app U V)) true)) :rule all_simplify)
% 76.66/76.97  (step t274.t4 (cl (= (not (= (tptp.app U V) (tptp.app U V))) (not true))) :rule cong :premises (t274.t3))
% 76.66/76.97  (step t274.t5 (cl (= (not true) false)) :rule all_simplify)
% 76.66/76.97  (step t274.t6 (cl (= (not (= (tptp.app U V) (tptp.app U V))) false)) :rule trans :premises (t274.t4 t274.t5))
% 76.66/76.97  (step t274.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.66/76.97  (step t274.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.66/76.97  (step t274.t9 (cl (= (not (tptp.ssList (tptp.app U V))) (not (tptp.ssList (tptp.app U V))))) :rule refl)
% 76.66/76.97  (step t274.t10 (cl (= (tptp.frontsegP (tptp.app U V) U) (tptp.frontsegP (tptp.app U V) U))) :rule refl)
% 76.66/76.97  (step t274.t11 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule cong :premises (t274.t6 t274.t7 t274.t8 t274.t9 t274.t10))
% 76.66/76.97  (step t274.t12 (cl (= (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule all_simplify)
% 76.66/76.97  (step t274.t13 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule trans :premises (t274.t11 t274.t12))
% 76.66/76.97  (step t274 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule bind)
% 76.66/76.97  (step t275 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t273 t274))
% 76.66/76.97  (step t276 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t272 t275))
% 76.66/76.97  (step t277 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule resolution :premises (t271 t276 a143))
% 76.66/76.97  (step t278 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t270 t277))
% 76.66/76.97  (step t279 (cl (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t247 t161 t184 t263 t278))
% 76.66/76.97  (step t280 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t226 t143 t173 t245 t279))
% 76.66/76.97  (step t281 (cl (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule and_neg)
% 76.66/76.97  (step t282 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t283)
% 76.66/76.97  (assume t283.a0 (= tptp.nil tptp.sk3))
% 76.66/76.97  (assume t283.a1 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.66/76.97  (step t283.t1 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t283.t2)
% 76.66/76.97  (assume t283.t2.a0 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.66/76.97  (assume t283.t2.a1 (= tptp.nil tptp.sk3))
% 76.66/76.97  (step t283.t2.t1 (cl (= (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule equiv_simplify)
% 76.66/76.97  (step t283.t2.t2 (cl (not (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule equiv1 :premises (t283.t2.t1))
% 76.66/76.97  (step t283.t2.t3 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 76.66/76.97  (step t283.t2.t4 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t283.t2.a1))
% 76.66/76.97  (step t283.t2.t5 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule cong :premises (t283.t2.t3 t283.t2.t4))
% 76.66/76.97  (step t283.t2.t6 (cl (= (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule equiv_simplify)
% 76.66/76.97  (step t283.t2.t7 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule equiv2 :premises (t283.t2.t6))
% 76.66/76.97  (step t283.t2.t8 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true)) :rule resolution :premises (t283.t2.t7 t283.t2.a0))
% 76.66/76.97  (step t283.t2.t9 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) :rule trans :premises (t283.t2.t5 t283.t2.t8))
% 76.66/76.97  (step t283.t2.t10 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t283.t2.t2 t283.t2.t9))
% 76.66/76.97  (step t283.t2 (cl (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule subproof :discharge (t283.t2.a0 t283.t2.a1))
% 76.66/76.97  (step t283.t3 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule and_pos)
% 76.66/76.97  (step t283.t4 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.66/76.97  (step t283.t5 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t283.t2 t283.t3 t283.t4))
% 76.66/76.97  (step t283.t6 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule reordering :premises (t283.t5))
% 76.66/76.97  (step t283.t7 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule contraction :premises (t283.t6))
% 76.66/76.97  (step t283.t8 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t283.t1 t283.t7))
% 76.66/76.97  (step t283.t9 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule implies_neg2)
% 76.66/76.97  (step t283.t10 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t283.t8 t283.t9))
% 76.66/76.97  (step t283.t11 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule contraction :premises (t283.t10))
% 76.66/76.97  (step t283.t12 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule implies :premises (t283.t11))
% 76.66/76.97  (step t283.t13 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.66/76.97  (step t283.t14 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t283.t13 t283.a1 t283.a0))
% 76.66/76.97  (step t283.t15 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t283.t12 t283.t14))
% 76.66/76.97  (step t283 (cl (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule subproof :discharge (t283.a0 t283.a1))
% 76.66/76.97  (step t284 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.66/76.97  (step t285 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule and_pos)
% 76.66/76.97  (step t286 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t283 t284 t285))
% 76.66/76.97  (step t287 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule reordering :premises (t286))
% 76.66/76.97  (step t288 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule contraction :premises (t287))
% 76.66/76.97  (step t289 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t282 t288))
% 76.66/76.97  (step t290 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule implies_neg2)
% 76.66/76.97  (step t291 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t289 t290))
% 76.66/76.97  (step t292 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule contraction :premises (t291))
% 76.66/76.97  (step t293 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule implies :premises (t292))
% 76.66/76.97  (step t294 (cl (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t281 t293))
% 76.66/76.97  (step t295 (cl (not (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule reordering :premises (t294))
% 76.66/76.97  (step t296 (cl (not (= (or (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk1)) (or (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)))) (not (or (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk1))) (or (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule equiv_pos2)
% 76.66/76.97  (step t297 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.66/76.97  (step t298 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t119))
% 76.66/76.97  (step t299 (cl (= (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk4))) :rule cong :premises (t297 t298))
% 76.66/76.97  (step t300 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t119))
% 76.66/76.97  (step t301 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t297 t300))
% 76.66/76.97  (step t302 (cl (= (or (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk1)) (or (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)))) :rule cong :premises (t299 t301))
% 76.66/76.97  (step t303 (cl (or (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule resolution :premises (t296 t302 a194))
% 76.66/76.97  (step t304 (cl (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) :rule or :premises (t303))
% 76.66/76.97  (step t305 (cl (= tptp.nil tptp.sk3) (= tptp.nil tptp.sk4)) :rule reordering :premises (t304))
% 76.66/76.97  (step t306 (cl (= tptp.nil tptp.sk3)) :rule resolution :premises (t305 t131))
% 76.66/76.97  (step t307 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule or_pos)
% 76.66/76.97  (step t308 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule reordering :premises (t307))
% 76.66/76.97  (step t309 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t310)
% 76.66/76.97  (assume t310.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.66/76.97  (step t310.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.66/76.97  (step t310.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule or :premises (t310.t1))
% 76.66/76.97  (step t310.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t310.t2 t310.a0))
% 76.66/76.97  (step t310 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule subproof :discharge (t310.a0))
% 76.66/76.97  (step t311 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t309 t310))
% 76.66/76.97  (step t312 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule implies_neg2)
% 76.66/76.97  (step t313 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t311 t312))
% 76.66/76.97  (step t314 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule contraction :premises (t313))
% 76.66/76.97  (step t315 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies :premises (t314))
% 76.66/76.97  (step t316 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t315 a55))
% 76.66/76.97  (step t317 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule resolution :premises (t308 t185 t316))
% 76.66/76.97  (step t318 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t295 t306 t317))
% 76.66/76.97  (step t319 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t320)
% 76.66/76.97  (assume t320.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))))
% 76.66/76.97  (step t320.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= A (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.66/76.97  (step t320.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t320.t1))
% 76.66/76.97  (step t320.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t320.t2 t320.a0))
% 76.66/76.97  (step t320 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t320.a0))
% 76.66/76.97  (step t321 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t319 t320))
% 76.66/76.97  (step t322 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.66/76.97  (step t323 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t321 t322))
% 76.66/76.97  (step t324 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t323))
% 76.66/76.97  (step t325 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t324))
% 76.66/76.97  (step t326 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t325 a193))
% 76.66/76.97  (step t327 (cl (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t187 t185 t209 t280 t318 t326))
% 76.66/76.97  (step t328 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.66/76.97  (step t329 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule refl)
% 76.66/76.97  (step t330 (cl (= (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.66/76.97  (step t331 (cl (= (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)))) :rule refl)
% 76.66/76.97  (step t332 (cl (= (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 76.66/76.97  (step t333 (cl (= (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.66/76.97  (step t334 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t330 t331 t332 t333))
% 76.66/76.97  (step t335 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t329 t334))
% 76.66/76.97  (step t336 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t337)
% 76.66/76.97  (assume t337.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.66/76.97  (step t337.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V tptp.sk3)))
% 76.66/76.97  (step t337.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule or :premises (t337.t1))
% 76.66/76.97  (step t337.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t337.t2 t337.a0))
% 76.66/76.97  (step t337 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule subproof :discharge (t337.a0))
% 76.66/76.97  (step t338 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t336 t337))
% 76.66/76.97  (step t339 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 76.66/76.97  (step t340 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule resolution :premises (t338 t339))
% 76.66/76.97  (step t341 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule contraction :premises (t340))
% 76.66/76.97  (step t342 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t328 t335 t341))
% 76.66/76.97  (step t343 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t342))
% 76.66/76.97  (step t344 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 76.66/76.97  (anchor :step t345 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.66/76.97  (step t345.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t345.t2 (cl (= V V)) :rule refl)
% 76.66/76.97  (step t345.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.66/76.97  (step t345.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.66/76.97  (step t345.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 76.66/76.97  (step t345.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 76.66/76.97  (step t345.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t345.t3 t345.t4 t345.t5 t345.t6))
% 76.66/76.97  (step t345 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 76.66/76.97  (step t346 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t344 t345 a99))
% 76.66/76.97  (step t347 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t343 t346))
% 76.66/76.97  (step t348 (cl (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t72 a187 t185 t327 t347))
% 76.66/76.97  (step t349 (cl (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 76.66/76.97  (step t350 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t349))
% 76.66/76.97  (step t351 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 76.66/76.97  (anchor :step t352)
% 76.66/76.97  (assume t352.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.66/76.97  (step t352.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.66/76.97  (step t352.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule or :premises (t352.t1))
% 76.66/76.97  (step t352.t3 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t352.t2 t352.a0))
% 76.66/76.97  (step t352 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t352.a0))
% 76.66/76.97  (step t353 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t351 t352))
% 76.66/76.97  (step t354 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 76.66/76.97  (step t355 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t353 t354))
% 76.66/76.97  (step t356 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t355))
% 76.66/76.97  (step t357 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t356))
% 76.66/76.97  (step t358 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 76.66/76.97  (anchor :step t359 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.66/76.97  (step t359.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t359.t2 (cl (= V V)) :rule refl)
% 76.66/76.97  (step t359.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 76.66/76.97  (step t359.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t359.t3))
% 76.66/76.97  (step t359.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.66/76.97  (step t359.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.66/76.97  (step t359.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t359.t4 t359.t5 t359.t6))
% 76.66/76.97  (step t359 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 76.66/76.97  (step t360 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t358 t359 a97))
% 76.66/76.97  (step t361 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t357 t360))
% 76.66/76.97  (step t362 (cl (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t350 a7 t153 t361))
% 76.66/76.97  (step t363 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule equiv_pos2)
% 76.66/76.97  (anchor :step t364 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.66/76.97  (step t364.t1 (cl (= U U)) :rule refl)
% 76.66/76.97  (step t364.t2 (cl (= V V)) :rule refl)
% 76.66/76.97  (step t364.t3 (cl (= (not (= tptp.nil U)) (not (= tptp.nil U)))) :rule refl)
% 76.66/76.97  (step t364.t4 (cl (= (not (= tptp.nil V)) (not (= tptp.nil V)))) :rule refl)
% 76.66/76.97  (step t364.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.66/76.97  (step t364.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.66/76.97  (step t364.t7 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 76.66/76.97  (step t364.t8 (cl (= (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V))))) :rule cong :premises (t364.t3 t364.t4 t364.t5 t364.t6 t364.t7))
% 76.66/76.97  (step t364 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))))) :rule bind)
% 76.66/76.97  (step t365 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 76.66/76.97  (step t366 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 76.66/76.97  (step t367 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t366))
% 76.66/76.97  (step t368 (cl (= (not true) false)) :rule all_simplify)
% 76.66/76.97  (step t369 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t367 t368))
% 76.66/76.97  (step t370 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 76.66/76.97  (step t371 (cl (= (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule refl)
% 76.66/76.97  (step t372 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule cong :premises (t369 t369 t370 t370 t371))
% 76.66/76.97  (step t373 (cl (= (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 76.66/76.97  (step t374 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t372 t373))
% 76.66/76.97  (step t375 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t365 t374))
% 76.66/76.97  (step t376 (cl (= (forall ((U $$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 (t364 t375))
% 76.66/76.97  (step t377 (cl (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t363 t376 a144))
% 76.66/76.97  (step t378 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule or :premises (t377))
% 76.66/76.97  (step t379 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule resolution :premises (t378 a7))
% 76.66/76.97  (step t380 (cl) :rule resolution :premises (t70 t348 t362 t173 t143 t306 t379))
% 76.66/76.97  
% 76.66/76.97  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.62g3M5TVCP/cvc5---1.0.5_17535.smt2
% 76.66/76.98  % cvc5---1.0.5 exiting
% 76.66/76.98  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------