%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC066-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:00:10 EDT 2024

% Result   : Unsatisfiable 80.12s 80.54s
% Output   : Proof 80.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16  % Problem    : SWC066-1 : TPTP v8.2.0. Released v2.4.0.
% 0.15/0.17  % Command    : do_cvc5 %s %d
% 0.15/0.38  % Computer : n019.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sun May 26 15:04:54 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.36/0.56  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.56/10.86  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.57/15.89  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.92  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.94  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.66/30.99  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.68/36.01  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.66/41.05  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.77/46.12  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.80/51.15  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.84/56.21  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.93/61.27  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.01/66.35  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.07/76.46  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 80.12/80.54  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.7tFAZl0wKt/cvc5---1.0.5_1187.smt2
% 80.12/80.54  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.7tFAZl0wKt/cvc5---1.0.5_1187.smt2
% 80.22/80.65  (assume a0 (tptp.equalelemsP tptp.nil))
% 80.22/80.65  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 80.22/80.65  (assume a2 (tptp.strictorderedP tptp.nil))
% 80.22/80.65  (assume a3 (tptp.totalorderedP tptp.nil))
% 80.22/80.65  (assume a4 (tptp.strictorderP tptp.nil))
% 80.22/80.65  (assume a5 (tptp.totalorderP tptp.nil))
% 80.22/80.65  (assume a6 (tptp.cyclefreeP tptp.nil))
% 80.22/80.65  (assume a7 (tptp.ssList tptp.nil))
% 80.22/80.65  (assume a8 (tptp.ssItem tptp.skac3))
% 80.22/80.65  (assume a9 (tptp.ssItem tptp.skac2))
% 80.22/80.65  (assume a10 (not (tptp.singletonP tptp.nil)))
% 80.22/80.65  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 80.22/80.65  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 80.22/80.65  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 80.22/80.65  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 80.22/80.65  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 80.22/80.65  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 80.22/80.65  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 80.22/80.65  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 80.22/80.65  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 80.22/80.65  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 80.22/80.65  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 80.22/80.65  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 80.22/80.65  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 80.22/80.65  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 80.22/80.65  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 80.22/80.65  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 80.22/80.65  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 80.22/80.65  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 80.22/80.65  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 80.22/80.65  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 80.22/80.65  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 80.22/80.65  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 80.22/80.65  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 80.22/80.65  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 80.22/80.65  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 80.22/80.65  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 80.22/80.65  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 80.22/80.65  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 80.22/80.65  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 80.22/80.65  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 80.22/80.65  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 80.22/80.65  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 80.22/80.65  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 80.22/80.65  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 80.22/80.65  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 80.22/80.65  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 80.22/80.65  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 80.22/80.65  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 80.22/80.65  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 80.22/80.65  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 80.22/80.65  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 80.22/80.65  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 80.22/80.65  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 80.22/80.65  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 80.22/80.65  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 80.22/80.65  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 80.22/80.65  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 80.22/80.65  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 80.22/80.65  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 80.22/80.65  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 80.22/80.65  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 80.22/80.65  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 80.22/80.65  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 80.22/80.65  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 80.22/80.65  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 80.22/80.65  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 80.22/80.65  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 80.22/80.65  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 80.22/80.65  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 80.22/80.65  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 80.22/80.65  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 80.22/80.65  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 80.22/80.65  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.22/80.65  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 80.22/80.65  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.22/80.65  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 80.22/80.65  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.22/80.65  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 80.22/80.65  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 80.22/80.65  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 80.22/80.65  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 80.22/80.65  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 80.22/80.65  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 80.22/80.65  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 80.22/80.65  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 80.22/80.65  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 80.22/80.65  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 80.22/80.65  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 80.22/80.65  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 80.22/80.65  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 80.22/80.65  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 80.22/80.65  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 80.22/80.65  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 80.22/80.65  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 80.22/80.65  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 80.22/80.65  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 80.22/80.65  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 80.22/80.65  (assume a104 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))))
% 80.22/80.65  (assume a105 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))))
% 80.22/80.65  (assume a106 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))))
% 80.22/80.65  (assume a107 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))))
% 80.22/80.65  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 80.22/80.65  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 80.22/80.65  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 80.22/80.65  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 80.22/80.65  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 80.22/80.65  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 80.22/80.65  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 80.22/80.65  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 80.22/80.65  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 80.22/80.65  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.22/80.65  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 80.22/80.65  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 80.22/80.65  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 80.22/80.65  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 80.22/80.65  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 80.22/80.65  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 80.22/80.65  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 80.22/80.65  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 80.22/80.65  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 80.22/80.65  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 80.22/80.65  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 80.22/80.65  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 80.22/80.65  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 80.22/80.65  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 80.22/80.65  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 80.22/80.65  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 80.22/80.65  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 80.22/80.65  (assume a135 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))))
% 80.22/80.65  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 80.22/80.65  (assume a137 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))))
% 80.22/80.65  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 80.22/80.65  (assume a139 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 80.22/80.65  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 80.22/80.65  (assume a141 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))))
% 80.22/80.65  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 80.22/80.65  (assume a143 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))
% 80.22/80.65  (assume a144 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))
% 80.22/80.65  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 80.22/80.65  (assume a146 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 80.22/80.65  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 80.22/80.65  (assume a148 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 80.22/80.65  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 80.22/80.65  (assume a150 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 80.22/80.65  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 80.22/80.65  (assume a152 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))))
% 80.22/80.65  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 80.22/80.65  (assume a154 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 80.22/80.65  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 80.22/80.65  (assume a156 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))
% 80.22/80.65  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 80.22/80.65  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 80.22/80.65  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 80.22/80.65  (assume a160 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))))
% 80.22/80.65  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 80.22/80.65  (assume a162 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))))
% 80.22/80.65  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 80.22/80.65  (assume a164 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))))
% 80.22/80.65  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 80.22/80.65  (assume a166 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))))
% 80.22/80.65  (assume a167 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))
% 80.22/80.65  (assume a168 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))))
% 80.22/80.65  (assume a169 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))))
% 80.22/80.65  (assume a170 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))))
% 80.22/80.65  (assume a171 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 80.22/80.65  (assume a172 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))
% 80.22/80.65  (assume a173 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))))
% 80.22/80.65  (assume a174 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))
% 80.22/80.65  (assume a175 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))))
% 80.22/80.65  (assume a176 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))))
% 80.22/80.65  (assume a177 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))))
% 80.22/80.65  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 80.22/80.65  (assume a179 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))
% 80.22/80.65  (assume a180 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))
% 80.22/80.65  (assume a181 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))))
% 80.22/80.65  (assume a182 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))))
% 80.22/80.65  (assume a183 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))))
% 80.22/80.65  (assume a184 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))))
% 80.22/80.65  (assume a185 (tptp.ssList tptp.sk1))
% 80.22/80.65  (assume a186 (tptp.ssList tptp.sk2))
% 80.22/80.65  (assume a187 (tptp.ssList tptp.sk3))
% 80.22/80.65  (assume a188 (tptp.ssList tptp.sk4))
% 80.22/80.65  (assume a189 (= tptp.sk2 tptp.sk4))
% 80.22/80.65  (assume a190 (= tptp.sk1 tptp.sk3))
% 80.22/80.65  (assume a191 (tptp.segmentP tptp.sk4 tptp.sk3))
% 80.22/80.65  (assume a192 (tptp.totalorderedP tptp.sk3))
% 80.22/80.65  (assume a193 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))))
% 80.22/80.65  (assume a194 (or (= tptp.nil tptp.sk2) (tptp.neq tptp.sk2 tptp.nil)))
% 80.22/80.65  (assume a195 (forall ((A $$unsorted)) (or (= tptp.nil tptp.sk2) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))
% 80.22/80.65  (assume a196 (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)))
% 80.22/80.65  (assume a197 (forall ((A $$unsorted)) (or (not (= tptp.nil tptp.sk1)) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))
% 80.22/80.65  (step t1 (cl (not (= (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 80.22/80.65  (step t2 (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)
% 80.22/80.65  (step t3 (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)
% 80.22/80.65  (step t4 (cl (= (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.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule refl)
% 80.22/80.65  (step t5 (cl (= (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule refl)
% 80.22/80.65  (step t6 (cl (= (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true) (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 80.22/80.65  (step t7 (cl (not (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true)) (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t6))
% 80.22/80.65  (step t8 (cl (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule all_simplify)
% 80.22/80.65  (step t9 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 80.22/80.65  (step t10 (cl (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 80.22/80.65  (step t11 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t9 t10))
% 80.22/80.65  (step t12 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true)) :rule all_simplify)
% 80.22/80.65  (step t13 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) true)) :rule trans :premises (t11 t12))
% 80.22/80.65  (step t14 (cl (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true)) :rule trans :premises (t8 t13))
% 80.22/80.65  (step t15 (cl (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t7 t14))
% 80.22/80.65  (step t16 (cl (= (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 80.22/80.65  (step t17 (cl (= (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t2 t3 t4 t5 t15 t16))
% 80.22/80.65  (step t18 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 80.22/80.65  (step t19 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 80.22/80.65  (step t20 (cl (= (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv_simplify)
% 80.22/80.65  (step t21 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv2 :premises (t20))
% 80.22/80.65  (step t22 (cl (not (not (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule not_not)
% 80.22/80.65  (step t23 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t21 t22))
% 80.22/80.65  (step t24 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg1)
% 80.22/80.65  (anchor :step t25)
% 80.22/80.65  (assume t25.a0 (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 80.22/80.65  (assume t25.a1 (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.65  (assume t25.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 80.22/80.65  (assume t25.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 80.22/80.65  (assume t25.a4 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 80.22/80.65  (assume t25.a5 (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.65  (step t25.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 80.22/80.65  (step t25.t2 (cl (= (= false true) false)) :rule all_simplify)
% 80.22/80.65  (step t25.t3 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 80.22/80.65  (step t25.t4 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t25.t3))
% 80.22/80.65  (step t25.t5 (cl (not (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule not_not)
% 80.22/80.65  (step t25.t6 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t25.t4 t25.t5))
% 80.22/80.65  (step t25.t7 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t25.t6 t25.a5))
% 80.22/80.65  (step t25.t8 (cl (= false (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule symm :premises (t25.t7))
% 80.22/80.65  (step t25.t9 (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 (t25.a4))
% 80.22/80.65  (step t25.t10 (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 (t25.t9))
% 80.22/80.65  (step t25.t11 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t25.a3))
% 80.22/80.65  (step t25.t12 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t25.t11))
% 80.22/80.65  (step t25.t13 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t25.a2))
% 80.22/80.65  (step t25.t14 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.hd tptp.sk4))) :rule cong :premises (t25.t13))
% 80.22/80.65  (step t25.t15 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd tptp.sk4))) :rule trans :premises (t25.t12 t25.t14))
% 80.22/80.65  (step t25.t16 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.22/80.65  (step t25.t17 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule cong :premises (t25.t15 t25.t16))
% 80.22/80.65  (step t25.t18 (cl (= (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule symm :premises (t25.a1))
% 80.22/80.65  (step t25.t19 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule symm :premises (t25.t18))
% 80.22/80.65  (step t25.t20 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule trans :premises (t25.t17 t25.t19))
% 80.22/80.65  (step t25.t21 (cl (= (tptp.skaf82 tptp.sk4) (tptp.skaf82 tptp.sk4))) :rule refl)
% 80.22/80.65  (step t25.t22 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)))) :rule cong :premises (t25.t20 t25.t21))
% 80.22/80.65  (step t25.t23 (cl (= tptp.sk4 (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)))) :rule trans :premises (t25.a2 t25.t10 t25.t22))
% 80.22/80.65  (step t25.t24 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 80.22/80.65  (step t25.t25 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule cong :premises (t25.t23 t25.t24))
% 80.22/80.65  (step t25.t26 (cl (= (= (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 80.22/80.65  (step t25.t27 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t25.t26))
% 80.22/80.65  (step t25.t28 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t25.t27 t25.a0))
% 80.22/80.65  (step t25.t29 (cl (= false true)) :rule trans :premises (t25.t8 t25.t25 t25.t28))
% 80.22/80.65  (step t25.t30 (cl false) :rule resolution :premises (t25.t1 t25.t2 t25.t29))
% 80.22/80.65  (step t25 (cl (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd 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 (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) :rule subproof :discharge (t25.a0 t25.a1 t25.a2 t25.a3 t25.a4 t25.a5))
% 80.22/80.65  (step t26 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 80.22/80.65  (step t27 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 80.22/80.65  (step t28 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 80.22/80.65  (step t29 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (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)
% 80.22/80.65  (step t30 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd 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)
% 80.22/80.65  (step t31 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 80.22/80.65  (step t32 (cl false (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t25 t26 t27 t28 t29 t30 t31))
% 80.22/80.65  (step t33 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule reordering :premises (t32))
% 80.22/80.65  (step t34 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule contraction :premises (t33))
% 80.22/80.65  (step t35 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) false) :rule resolution :premises (t24 t34))
% 80.22/80.65  (step t36 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not false)) :rule implies_neg2)
% 80.22/80.65  (step t37 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t35 t36))
% 80.22/80.65  (step t38 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule contraction :premises (t37))
% 80.22/80.65  (step t39 (cl (= (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule implies_simplify)
% 80.22/80.65  (step t40 (cl (not (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule equiv1 :premises (t39))
% 80.22/80.65  (step t41 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t38 t40))
% 80.22/80.65  (step t42 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t23 t41))
% 80.22/80.65  (step t43 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false))) :rule cong :premises (t19 t42))
% 80.22/80.65  (step t44 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false) (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule all_simplify)
% 80.22/80.65  (step t45 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule trans :premises (t43 t44))
% 80.22/80.65  (step t46 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 80.22/80.65  (anchor :step t47)
% 80.22/80.65  (assume t47.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 80.22/80.65  (assume t47.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 80.22/80.65  (assume t47.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))))
% 80.22/80.65  (assume t47.a3 (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.65  (assume t47.a4 (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.65  (assume t47.a5 (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 80.22/80.65  (step t47.t1 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd 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 (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule and_neg)
% 80.22/80.65  (step t47.t2 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t47.t1 t47.a5 t47.a3 t47.a0 t47.a1 t47.a2 t47.a4))
% 80.22/80.65  (step t47 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t47.a0 t47.a1 t47.a2 t47.a3 t47.a4 t47.a5))
% 80.22/80.65  (step t48 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 80.22/80.65  (step t49 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (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)
% 80.22/80.65  (step t50 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd 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)
% 80.22/80.65  (step t51 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 80.22/80.65  (step t52 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 80.22/80.65  (step t53 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 80.22/80.65  (step t54 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t47 t48 t49 t50 t51 t52 t53))
% 80.22/80.65  (step t55 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t54))
% 80.22/80.65  (step t56 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t55))
% 80.22/80.65  (step t57 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t46 t56))
% 80.22/80.65  (step t58 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 80.22/80.65  (step t59 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP 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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t57 t58))
% 80.22/80.65  (step t60 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= 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))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t59))
% 80.22/80.65  (step t61 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t18 t45 t60))
% 80.22/80.65  (step t62 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule not_and :premises (t61))
% 80.22/80.65  (step t63 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (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)
% 80.22/80.65  (step t64 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (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)
% 80.22/80.65  (step t65 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (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 or_neg)
% 80.22/80.65  (step t66 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule or_neg)
% 80.22/80.65  (step t67 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule or_neg)
% 80.22/80.65  (step t68 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or_neg)
% 80.22/80.65  (step t69 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t62 t63 t64 t65 t66 t67 t68))
% 80.22/80.65  (step t70 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t69))
% 80.22/80.65  (step t71 (cl (or (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t1 t17 t70))
% 80.22/80.65  (step t72 (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.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t71))
% 80.22/80.65  (step t73 (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.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t72))
% 80.22/80.65  (step t74 (cl (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 80.22/80.65  (step t75 (cl (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t74))
% 80.22/80.65  (step t76 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t75))
% 80.22/80.65  (step t77 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 80.22/80.65  (anchor :step t78)
% 80.22/80.65  (assume t78.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 80.22/80.65  (step t78.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 80.22/80.65  (step t78.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule or :premises (t78.t1))
% 80.22/80.65  (step t78.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t78.t2 t78.a0))
% 80.22/80.65  (step t78 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule subproof :discharge (t78.a0))
% 80.22/80.65  (step t79 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t77 t78))
% 80.22/80.65  (step t80 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule implies_neg2)
% 80.22/80.65  (step t81 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t79 t80))
% 80.22/80.65  (step t82 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t81))
% 80.22/80.65  (step t83 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule implies :premises (t82))
% 80.22/80.65  (step t84 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t83 a12))
% 80.22/80.65  (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))) (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)
% 80.22/80.65  (step t86 (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)
% 80.22/80.65  (anchor :step t87)
% 80.22/80.65  (assume t87.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 80.22/80.65  (assume t87.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 80.22/80.66  (assume t87.a2 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (anchor :step t87.t2)
% 80.22/80.66  (assume t87.t2.a0 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 80.22/80.66  (assume t87.t2.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 80.22/80.66  (assume t87.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (step t87.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 (t87.t2.t1))
% 80.22/80.66  (step t87.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t87.t2.a2))
% 80.22/80.66  (step t87.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t87.t2.t3))
% 80.22/80.66  (step t87.t2.t5 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t87.t2.t4))
% 80.22/80.66  (step t87.t2.t6 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t87.t2.a1))
% 80.22/80.66  (step t87.t2.t7 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t87.t2.t6))
% 80.22/80.66  (step t87.t2.t8 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t87.t2.t7))
% 80.22/80.66  (step t87.t2.t9 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t87.t2.t5 t87.t2.t8))
% 80.22/80.66  (step t87.t2.t10 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.22/80.66  (step t87.t2.t11 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t87.t2.t9 t87.t2.t10))
% 80.22/80.66  (step t87.t2.t12 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t87.t2.t11))
% 80.22/80.66  (step t87.t2.t13 (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)
% 80.22/80.66  (step t87.t2.t14 (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 (t87.t2.t13))
% 80.22/80.66  (step t87.t2.t15 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t87.t2.t14 t87.t2.a0))
% 80.22/80.66  (step t87.t2.t16 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t87.t2.t12 t87.t2.t15))
% 80.22/80.66  (step t87.t2.t17 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t87.t2.t2 t87.t2.t16))
% 80.22/80.66  (step t87.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 (t87.t2.a0 t87.t2.a1 t87.t2.a2))
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (step t87.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 (t87.t2 t87.t3 t87.t4 t87.t5))
% 80.22/80.66  (step t87.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 (t87.t6))
% 80.22/80.66  (step t87.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 (t87.t7))
% 80.22/80.66  (step t87.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 (t87.t1 t87.t8))
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (step t87.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 (t87.t9 t87.t10))
% 80.22/80.66  (step t87.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 (t87.t11))
% 80.22/80.66  (step t87.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 (t87.t12))
% 80.22/80.66  (step t87.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)
% 80.22/80.66  (step t87.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 (t87.t14 t87.a2 t87.a1 t87.a0))
% 80.22/80.66  (step t87.t16 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t87.t13 t87.t15))
% 80.22/80.66  (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 subproof :discharge (t87.a0 t87.a1 t87.a2))
% 80.22/80.66  (step t88 (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)
% 80.22/80.66  (step t89 (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)
% 80.22/80.66  (step t90 (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)
% 80.22/80.66  (step t91 (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 (t87 t88 t89 t90))
% 80.22/80.66  (step t92 (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 (t91))
% 80.22/80.66  (step t93 (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 (t92))
% 80.22/80.66  (step t94 (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 (t86 t93))
% 80.22/80.66  (step t95 (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)
% 80.22/80.66  (step t96 (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 (t94 t95))
% 80.22/80.66  (step t97 (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 (t96))
% 80.22/80.66  (step t98 (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 (t97))
% 80.22/80.66  (step t99 (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 (t85 t98))
% 80.22/80.66  (step t100 (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 (t99))
% 80.22/80.66  (step t101 (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)
% 80.22/80.66  (step t102 (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 (t101))
% 80.22/80.66  (step t103 (cl (not (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)) :rule or_pos)
% 80.22/80.66  (step t104 (cl (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (not (tptp.segmentP tptp.nil tptp.sk3)) (not (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t103))
% 80.22/80.66  (step t105 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t106)
% 80.22/80.66  (assume t106.a0 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 80.22/80.66  (step t106.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 80.22/80.66  (step t106.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule or :premises (t106.t1))
% 80.22/80.66  (step t106.t3 (cl (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t106.t2 t106.a0))
% 80.22/80.66  (step t106 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t106.a0))
% 80.22/80.66  (step t107 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t105 t106))
% 80.22/80.66  (step t108 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 80.22/80.66  (step t109 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t107 t108))
% 80.22/80.66  (step t110 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t109))
% 80.22/80.66  (step t111 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule implies :premises (t110))
% 80.22/80.66  (step t112 (cl (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t111 a79))
% 80.22/80.66  (step t113 (cl (not (= (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)))) (not (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil))) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_pos2)
% 80.22/80.66  (step t114 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.22/80.66  (step t115 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 80.22/80.66  (step t116 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t115 a190 a189))
% 80.22/80.66  (step t117 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t116))
% 80.22/80.66  (step t118 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t114 t117))
% 80.22/80.66  (step t119 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t118))
% 80.22/80.66  (step t120 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t116))
% 80.22/80.66  (step t121 (cl (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t120 t114))
% 80.22/80.66  (step t122 (cl (= (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)))) :rule cong :premises (t119 t121))
% 80.22/80.66  (step t123 (cl (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t113 t122 a196))
% 80.22/80.66  (step t124 (cl (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)) :rule or :premises (t123))
% 80.22/80.66  (step t125 (cl (tptp.neq tptp.sk4 tptp.nil) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t124))
% 80.22/80.66  (step t126 (cl (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 80.22/80.66  (step t127 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t128)
% 80.22/80.66  (assume t128.a0 (tptp.segmentP tptp.sk4 tptp.sk3))
% 80.22/80.66  (assume t128.a1 (= tptp.nil tptp.sk4))
% 80.22/80.66  (step t128.t1 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t128.t2)
% 80.22/80.66  (assume t128.t2.a0 (tptp.segmentP tptp.sk4 tptp.sk3))
% 80.22/80.66  (assume t128.t2.a1 (= tptp.nil tptp.sk4))
% 80.22/80.66  (step t128.t2.t1 (cl (= (= (tptp.segmentP tptp.nil tptp.sk3) true) (tptp.segmentP tptp.nil tptp.sk3))) :rule equiv_simplify)
% 80.22/80.66  (step t128.t2.t2 (cl (not (= (tptp.segmentP tptp.nil tptp.sk3) true)) (tptp.segmentP tptp.nil tptp.sk3)) :rule equiv1 :premises (t128.t2.t1))
% 80.22/80.66  (step t128.t2.t3 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t128.t2.a1))
% 80.22/80.66  (step t128.t2.t4 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t128.t2.t3))
% 80.22/80.66  (step t128.t2.t5 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 80.22/80.66  (step t128.t2.t6 (cl (= (tptp.segmentP tptp.nil tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t128.t2.t4 t128.t2.t5))
% 80.22/80.66  (step t128.t2.t7 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) true) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv_simplify)
% 80.22/80.66  (step t128.t2.t8 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) true) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv2 :premises (t128.t2.t7))
% 80.22/80.66  (step t128.t2.t9 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) true)) :rule resolution :premises (t128.t2.t8 t128.t2.a0))
% 80.22/80.66  (step t128.t2.t10 (cl (= (tptp.segmentP tptp.nil tptp.sk3) true)) :rule trans :premises (t128.t2.t6 t128.t2.t9))
% 80.22/80.66  (step t128.t2.t11 (cl (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t128.t2.t2 t128.t2.t10))
% 80.22/80.66  (step t128.t2 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) :rule subproof :discharge (t128.t2.a0 t128.t2.a1))
% 80.22/80.66  (step t128.t3 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule and_pos)
% 80.22/80.66  (step t128.t4 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 80.22/80.66  (step t128.t5 (cl (tptp.segmentP tptp.nil tptp.sk3) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t128.t2 t128.t3 t128.t4))
% 80.22/80.66  (step t128.t6 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule reordering :premises (t128.t5))
% 80.22/80.66  (step t128.t7 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule contraction :premises (t128.t6))
% 80.22/80.66  (step t128.t8 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t128.t1 t128.t7))
% 80.22/80.66  (step t128.t9 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.segmentP tptp.nil tptp.sk3))) :rule implies_neg2)
% 80.22/80.66  (step t128.t10 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule resolution :premises (t128.t8 t128.t9))
% 80.22/80.66  (step t128.t11 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule contraction :premises (t128.t10))
% 80.22/80.66  (step t128.t12 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule implies :premises (t128.t11))
% 80.22/80.66  (step t128.t13 (cl (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 80.22/80.66  (step t128.t14 (cl (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule resolution :premises (t128.t13 t128.a0 t128.a1))
% 80.22/80.66  (step t128.t15 (cl (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t128.t12 t128.t14))
% 80.22/80.66  (step t128 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) :rule subproof :discharge (t128.a0 t128.a1))
% 80.22/80.66  (step t129 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule and_pos)
% 80.22/80.66  (step t130 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 80.22/80.66  (step t131 (cl (tptp.segmentP tptp.nil tptp.sk3) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t128 t129 t130))
% 80.22/80.66  (step t132 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule reordering :premises (t131))
% 80.22/80.66  (step t133 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule contraction :premises (t132))
% 80.22/80.66  (step t134 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t127 t133))
% 80.22/80.66  (step t135 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.segmentP tptp.nil tptp.sk3))) :rule implies_neg2)
% 80.22/80.66  (step t136 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule resolution :premises (t134 t135))
% 80.22/80.66  (step t137 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule contraction :premises (t136))
% 80.22/80.66  (step t138 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule implies :premises (t137))
% 80.22/80.66  (step t139 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t126 t138))
% 80.22/80.66  (step t140 (cl (not (= (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4) (not (tptp.neq tptp.sk4 tptp.nil))))) (not (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule equiv_pos2)
% 80.22/80.66  (step t141 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 80.22/80.66  (step t142 (cl (= (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true) (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv_simplify)
% 80.22/80.66  (step t143 (cl (not (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true)) (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule equiv1 :premises (t142))
% 80.22/80.66  (step t144 (cl (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))))) :rule all_simplify)
% 80.22/80.66  (step t145 (cl (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4))) :rule refl)
% 80.22/80.66  (step t146 (cl (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule all_simplify)
% 80.22/80.66  (step t147 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4)))) :rule cong :premises (t145 t146))
% 80.22/80.66  (step t148 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4)) true)) :rule all_simplify)
% 80.22/80.66  (step t149 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) true)) :rule trans :premises (t147 t148))
% 80.22/80.66  (step t150 (cl (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true)) :rule trans :premises (t144 t149))
% 80.22/80.66  (step t151 (cl (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t143 t150))
% 80.22/80.66  (step t152 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 80.22/80.66  (step t153 (cl (= (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4) (not (tptp.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t141 t151 t152))
% 80.22/80.66  (step t154 (cl (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule and_neg)
% 80.22/80.66  (step t155 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t156)
% 80.22/80.66  (assume t156.a0 (= tptp.nil tptp.sk4))
% 80.22/80.66  (assume t156.a1 (not (tptp.neq tptp.sk4 tptp.sk4)))
% 80.22/80.66  (step t156.t1 (cl (=> (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t156.t2)
% 80.22/80.66  (assume t156.t2.a0 (not (tptp.neq tptp.sk4 tptp.sk4)))
% 80.22/80.66  (assume t156.t2.a1 (= tptp.nil tptp.sk4))
% 80.22/80.66  (step t156.t2.t1 (cl (= (= (tptp.neq tptp.sk4 tptp.nil) false) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule equiv_simplify)
% 80.22/80.66  (step t156.t2.t2 (cl (not (= (tptp.neq tptp.sk4 tptp.nil) false)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule equiv1 :premises (t156.t2.t1))
% 80.22/80.66  (step t156.t2.t3 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 80.22/80.66  (step t156.t2.t4 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t156.t2.a1))
% 80.22/80.66  (step t156.t2.t5 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t156.t2.t4))
% 80.22/80.66  (step t156.t2.t6 (cl (= (tptp.neq tptp.sk4 tptp.nil) (tptp.neq tptp.sk4 tptp.sk4))) :rule cong :premises (t156.t2.t3 t156.t2.t5))
% 80.22/80.66  (step t156.t2.t7 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) false) (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv_simplify)
% 80.22/80.66  (step t156.t2.t8 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv2 :premises (t156.t2.t7))
% 80.22/80.66  (step t156.t2.t9 (cl (not (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (tptp.neq tptp.sk4 tptp.sk4)) :rule not_not)
% 80.22/80.66  (step t156.t2.t10 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false) (tptp.neq tptp.sk4 tptp.sk4)) :rule resolution :premises (t156.t2.t8 t156.t2.t9))
% 80.22/80.66  (step t156.t2.t11 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false)) :rule resolution :premises (t156.t2.t10 t156.t2.a0))
% 80.22/80.66  (step t156.t2.t12 (cl (= (tptp.neq tptp.sk4 tptp.nil) false)) :rule trans :premises (t156.t2.t6 t156.t2.t11))
% 80.22/80.66  (step t156.t2.t13 (cl (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t156.t2.t2 t156.t2.t12))
% 80.22/80.66  (step t156.t2 (cl (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule subproof :discharge (t156.t2.a0 t156.t2.a1))
% 80.22/80.66  (step t156.t3 (cl (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.sk4))) :rule and_pos)
% 80.22/80.66  (step t156.t4 (cl (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 80.22/80.66  (step t156.t5 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t156.t2 t156.t3 t156.t4))
% 80.22/80.66  (step t156.t6 (cl (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule reordering :premises (t156.t5))
% 80.22/80.66  (step t156.t7 (cl (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule contraction :premises (t156.t6))
% 80.22/80.66  (step t156.t8 (cl (=> (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t156.t1 t156.t7))
% 80.22/80.66  (step t156.t9 (cl (=> (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) (not (not (tptp.neq tptp.sk4 tptp.nil)))) :rule implies_neg2)
% 80.22/80.66  (step t156.t10 (cl (=> (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) (=> (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t156.t8 t156.t9))
% 80.22/80.66  (step t156.t11 (cl (=> (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule contraction :premises (t156.t10))
% 80.22/80.66  (step t156.t12 (cl (not (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule implies :premises (t156.t11))
% 80.22/80.66  (step t156.t13 (cl (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 80.22/80.66  (step t156.t14 (cl (and (not (tptp.neq tptp.sk4 tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t156.t13 t156.a1 t156.a0))
% 80.22/80.66  (step t156.t15 (cl (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t156.t12 t156.t14))
% 80.22/80.66  (step t156 (cl (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule subproof :discharge (t156.a0 t156.a1))
% 80.22/80.66  (step t157 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 80.22/80.66  (step t158 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.sk4))) :rule and_pos)
% 80.22/80.66  (step t159 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t156 t157 t158))
% 80.22/80.66  (step t160 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule reordering :premises (t159))
% 80.22/80.66  (step t161 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule contraction :premises (t160))
% 80.22/80.66  (step t162 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t155 t161))
% 80.22/80.66  (step t163 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (not (not (tptp.neq tptp.sk4 tptp.nil)))) :rule implies_neg2)
% 80.22/80.66  (step t164 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (=> (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t162 t163))
% 80.22/80.66  (step t165 (cl (=> (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule contraction :premises (t164))
% 80.22/80.66  (step t166 (cl (not (and (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule implies :premises (t165))
% 80.22/80.66  (step t167 (cl (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t154 t166))
% 80.22/80.66  (step t168 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 80.22/80.66  (step t169 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (not (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule or_neg)
% 80.22/80.66  (step t170 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (not (not (tptp.neq tptp.sk4 tptp.nil)))) :rule or_neg)
% 80.22/80.66  (step t171 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t167 t168 t169 t170))
% 80.22/80.66  (step t172 (cl (or (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule contraction :premises (t171))
% 80.22/80.66  (step t173 (cl (or (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t140 t153 t172))
% 80.22/80.66  (step t174 (cl (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (t173))
% 80.22/80.66  (step t175 (cl (not (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.sk4 tptp.sk4)) :rule reordering :premises (t174))
% 80.22/80.66  (step t176 (cl (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))) :rule or_pos)
% 80.22/80.66  (step t177 (cl (not (tptp.ssList tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.sk4)) (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule reordering :premises (t176))
% 80.22/80.66  (step t178 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t179)
% 80.22/80.66  (assume t179.a0 (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))
% 80.22/80.66  (step t179.t1 (cl (or (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule forall_inst :args ((:= V tptp.sk4)))
% 80.22/80.66  (step t179.t2 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule or :premises (t179.t1))
% 80.22/80.66  (step t179.t3 (cl (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t179.t2 t179.a0))
% 80.22/80.66  (step t179 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule subproof :discharge (t179.a0))
% 80.22/80.66  (step t180 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t178 t179))
% 80.22/80.66  (step t181 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule implies_neg2)
% 80.22/80.66  (step t182 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule resolution :premises (t180 t181))
% 80.22/80.66  (step t183 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule contraction :premises (t182))
% 80.22/80.66  (step t184 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule implies :premises (t183))
% 80.22/80.66  (step t185 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U))))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 80.22/80.66  (step t186 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((V $$unsorted)) (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V)))))) :rule all_simplify)
% 80.22/80.66  (anchor :step t187 :args ((V $$unsorted) (:= V V)))
% 80.22/80.66  (step t187.t1 (cl (= V V)) :rule refl)
% 80.22/80.66  (step t187.t2 (cl (= (= V V) true)) :rule all_simplify)
% 80.22/80.66  (step t187.t3 (cl (= (not (= V V)) (not true))) :rule cong :premises (t187.t2))
% 80.22/80.66  (step t187.t4 (cl (= (not true) false)) :rule all_simplify)
% 80.22/80.66  (step t187.t5 (cl (= (not (= V V)) false)) :rule trans :premises (t187.t3 t187.t4))
% 80.22/80.66  (step t187.t6 (cl (= (not (tptp.neq V V)) (not (tptp.neq V V)))) :rule refl)
% 80.22/80.66  (step t187.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.22/80.66  (step t187.t8 (cl (= (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or false (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))))) :rule cong :premises (t187.t5 t187.t6 t187.t7 t187.t7))
% 80.22/80.66  (step t187.t9 (cl (= (or false (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule all_simplify)
% 80.22/80.66  (step t187.t10 (cl (= (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule trans :premises (t187.t8 t187.t9))
% 80.22/80.66  (step t187 (cl (= (forall ((V $$unsorted)) (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) :rule bind)
% 80.22/80.66  (step t188 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) :rule trans :premises (t186 t187))
% 80.22/80.66  (step t189 (cl (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule resolution :premises (t185 t188 a114))
% 80.22/80.66  (step t190 (cl (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t184 t189))
% 80.22/80.66  (step t191 (cl (not (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t177 a188 t190))
% 80.22/80.66  (step t192 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t104 t112 a187 t125 t139 a191 t175 t191))
% 80.22/80.66  (step t193 (cl (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t192))
% 80.22/80.66  (step t194 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t195)
% 80.22/80.66  (assume t195.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 80.22/80.66  (step t195.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 80.22/80.66  (step t195.t2 (cl (not (forall ((U $$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 (t195.t1))
% 80.22/80.66  (step t195.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 (t195.t2 t195.a0))
% 80.22/80.66  (step t195 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t195.a0))
% 80.22/80.66  (step t196 (cl (=> (forall ((U $$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 (t194 t195))
% 80.22/80.66  (step t197 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 80.22/80.66  (step t198 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t196 t197))
% 80.22/80.66  (step t199 (cl (=> (forall ((U $$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 (t198))
% 80.22/80.66  (step t200 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule implies :premises (t199))
% 80.22/80.66  (step t201 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 80.22/80.66  (anchor :step t202 :args ((U $$unsorted) (:= U U)))
% 80.22/80.66  (step t202.t1 (cl (= U U)) :rule refl)
% 80.22/80.66  (step t202.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.22/80.66  (step t202.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 80.22/80.66  (step t202.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 80.22/80.66  (step t202.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 (t202.t2 t202.t3 t202.t4))
% 80.22/80.66  (step t202 (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)
% 80.22/80.66  (step t203 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t201 t202 a108))
% 80.22/80.66  (step t204 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t200 t203))
% 80.22/80.66  (step t205 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t102 t193 a188 t204))
% 80.22/80.66  (step t206 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or_pos)
% 80.22/80.66  (step t207 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule reordering :premises (t206))
% 80.22/80.66  (step t208 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t209)
% 80.22/80.66  (assume t209.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 80.22/80.66  (step t209.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 80.22/80.66  (step t209.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule or :premises (t209.t1))
% 80.22/80.66  (step t209.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t209.t2 t209.a0))
% 80.22/80.66  (step t209 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule subproof :discharge (t209.a0))
% 80.22/80.66  (step t210 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t208 t209))
% 80.22/80.66  (step t211 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule implies_neg2)
% 80.22/80.66  (step t212 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule resolution :premises (t210 t211))
% 80.22/80.66  (step t213 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule contraction :premises (t212))
% 80.22/80.66  (step t214 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule implies :premises (t213))
% 80.22/80.66  (step t215 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t214 a11))
% 80.22/80.66  (step t216 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t217)
% 80.22/80.66  (assume t217.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 80.22/80.66  (step t217.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 80.22/80.66  (step t217.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or :premises (t217.t1))
% 80.22/80.66  (step t217.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t217.t2 t217.a0))
% 80.22/80.66  (step t217 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule subproof :discharge (t217.a0))
% 80.22/80.66  (step t218 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t216 t217))
% 80.22/80.66  (step t219 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule implies_neg2)
% 80.22/80.66  (step t220 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t218 t219))
% 80.22/80.66  (step t221 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule contraction :premises (t220))
% 80.22/80.66  (step t222 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies :premises (t221))
% 80.22/80.66  (step t223 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 80.22/80.66  (anchor :step t224 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.22/80.66  (step t224.t1 (cl (= U U)) :rule refl)
% 80.22/80.66  (step t224.t2 (cl (= V V)) :rule refl)
% 80.22/80.66  (step t224.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 80.22/80.66  (step t224.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.22/80.66  (step t224.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 80.22/80.66  (step t224.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t224.t3 t224.t4 t224.t5))
% 80.22/80.66  (step t224 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 80.22/80.66  (step t225 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t223 t224 a96))
% 80.22/80.66  (step t226 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t222 t225))
% 80.22/80.66  (step t227 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t207 t215 t84 t226))
% 80.22/80.66  (step t228 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 80.22/80.66  (step t229 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t228))
% 80.22/80.66  (step t230 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t231)
% 80.22/80.66  (assume t231.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 80.22/80.66  (step t231.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 80.22/80.66  (step t231.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t231.t1))
% 80.22/80.66  (step t231.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t231.t2 t231.a0))
% 80.22/80.66  (step t231 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t231.a0))
% 80.22/80.66  (step t232 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t230 t231))
% 80.22/80.66  (step t233 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t234 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t232 t233))
% 80.22/80.66  (step t235 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t234))
% 80.22/80.66  (step t236 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t235))
% 80.22/80.66  (step t237 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t236 a85))
% 80.22/80.66  (step t238 (cl (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t229 a7 t215 t237))
% 80.22/80.66  (step t239 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t100 t205 t227 t238))
% 80.22/80.66  (step t240 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 80.22/80.66  (step t241 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t240))
% 80.22/80.66  (step t242 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t243)
% 80.22/80.66  (assume t243.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 80.22/80.66  (step t243.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.66  (step t243.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t243.t1))
% 80.22/80.66  (step t243.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.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t243.t2 t243.a0))
% 80.22/80.66  (step t243 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t243.a0))
% 80.22/80.66  (step t244 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) 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.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t242 t243))
% 80.22/80.66  (step t245 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t246 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t244 t245))
% 80.22/80.66  (step t247 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t246))
% 80.22/80.66  (step t248 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t247))
% 80.22/80.66  (step t249 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t248 a56))
% 80.22/80.66  (step t250 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t241 t239 t249))
% 80.22/80.66  (step t251 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t252)
% 80.22/80.66  (assume t252.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 80.22/80.66  (step t252.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= W (tptp.skaf82 tptp.sk4)) (:= X tptp.nil)))
% 80.22/80.66  (step t252.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t252.t1))
% 80.22/80.66  (step t252.t3 (cl (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t252.t2 t252.a0))
% 80.22/80.66  (step t252 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t252.a0))
% 80.22/80.66  (step t253 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t251 t252))
% 80.22/80.66  (step t254 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t255 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t253 t254))
% 80.22/80.66  (step t256 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t255))
% 80.22/80.66  (step t257 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t256))
% 80.22/80.66  (step t258 (cl (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t257 a171))
% 80.22/80.66  (step t259 (cl (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t76 a7 t84 t239 t250 t258))
% 80.22/80.66  (step t260 (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.segmentP 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.segmentP 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)
% 80.22/80.66  (step t261 (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.segmentP 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.segmentP 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 (t260))
% 80.22/80.66  (step t262 (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)
% 80.22/80.66  (step t263 (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 (t262))
% 80.22/80.66  (step t264 (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)
% 80.22/80.66  (step t265 (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 (t264))
% 80.22/80.66  (step t266 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t267)
% 80.22/80.66  (assume t267.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 80.22/80.66  (step t267.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 80.22/80.66  (step t267.t2 (cl (not (forall ((U $$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 (t267.t1))
% 80.22/80.66  (step t267.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t267.t2 t267.a0))
% 80.22/80.66  (step t267 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t267.a0))
% 80.22/80.66  (step t268 (cl (=> (forall ((U $$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 (t266 t267))
% 80.22/80.66  (step t269 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 80.22/80.66  (step t270 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t268 t269))
% 80.22/80.66  (step t271 (cl (=> (forall ((U $$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 (t270))
% 80.22/80.66  (step t272 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies :premises (t271))
% 80.22/80.66  (step t273 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t272 a75))
% 80.22/80.66  (step t274 (cl (tptp.ssItem (tptp.hd tptp.sk4))) :rule resolution :premises (t265 t193 a188 t273))
% 80.22/80.66  (step t275 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t276)
% 80.22/80.66  (assume t276.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 80.22/80.66  (step t276.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4))))
% 80.22/80.66  (step t276.t2 (cl (not (forall ((U $$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 (t276.t1))
% 80.22/80.66  (step t276.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t276.t2 t276.a0))
% 80.22/80.66  (step t276 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t276.a0))
% 80.22/80.66  (step t277 (cl (=> (forall ((U $$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 (t275 t276))
% 80.22/80.66  (step t278 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t279 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t277 t278))
% 80.22/80.66  (step t280 (cl (=> (forall ((U $$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 (t279))
% 80.22/80.66  (step t281 (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 (t280))
% 80.22/80.66  (step t282 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t281 a66))
% 80.22/80.66  (step t283 (cl (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t263 t274 t282))
% 80.22/80.66  (step t284 (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)
% 80.22/80.66  (step t285 (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 (t284))
% 80.22/80.66  (step t286 (cl (not (= (or (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.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.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.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)
% 80.22/80.66  (step t287 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 80.22/80.66  (step t288 (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)
% 80.22/80.66  (step t289 (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 (t288))
% 80.22/80.66  (step t290 (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)
% 80.22/80.66  (step t291 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule refl)
% 80.22/80.66  (step t292 (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)
% 80.22/80.66  (step t293 (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 (t291 t292))
% 80.22/80.66  (step t294 (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)
% 80.22/80.66  (step t295 (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 (t293 t294))
% 80.22/80.66  (step t296 (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 (t290 t295))
% 80.22/80.66  (step t297 (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 (t289 t296))
% 80.22/80.66  (step t298 (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)
% 80.22/80.66  (step t299 (cl (= (or (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.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 (t287 t2 t3 t297 t298))
% 80.22/80.66  (step t300 (cl (and (= 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)))) (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))))) :rule and_neg)
% 80.22/80.66  (step t301 (cl (=> (and (= 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)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= 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))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t302)
% 80.22/80.66  (assume t302.a0 (= tptp.nil tptp.sk3))
% 80.22/80.66  (assume t302.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 80.22/80.66  (assume t302.a2 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 80.22/80.66  (assume t302.a3 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 80.22/80.66  (step t302.t1 (cl (=> (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= tptp.nil tptp.sk3) (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)
% 80.22/80.66  (anchor :step t302.t2)
% 80.22/80.66  (assume t302.t2.a0 (= tptp.nil tptp.sk3))
% 80.22/80.66  (assume t302.t2.a1 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 80.22/80.66  (assume t302.t2.a2 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 80.22/80.66  (assume t302.t2.a3 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 80.22/80.66  (step t302.t2.t1 (cl (= (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 80.22/80.66  (step t302.t2.t2 (cl (not (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t302.t2.t1))
% 80.22/80.66  (step t302.t2.t3 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t302.t2.a0))
% 80.22/80.66  (step t302.t2.t4 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 80.22/80.66  (step t302.t2.t5 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule cong :premises (t302.t2.t3 t302.t2.t4))
% 80.22/80.66  (step t302.t2.t6 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.22/80.66  (step t302.t2.t7 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t302.t2.a3))
% 80.22/80.66  (step t302.t2.t8 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t302.t2.t7))
% 80.22/80.66  (step t302.t2.t9 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t302.t2.t8))
% 80.22/80.66  (step t302.t2.t10 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t302.t2.a2))
% 80.22/80.66  (step t302.t2.t11 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t302.t2.t10))
% 80.22/80.66  (step t302.t2.t12 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t302.t2.t11))
% 80.22/80.66  (step t302.t2.t13 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t302.t2.t9 t302.t2.t12))
% 80.22/80.66  (step t302.t2.t14 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t302.t2.t13 t302.t2.t6))
% 80.22/80.66  (step t302.t2.t15 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t302.t2.t6 t302.t2.t14))
% 80.22/80.66  (step t302.t2.t16 (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)
% 80.22/80.66  (step t302.t2.t17 (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 (t302.t2.t16))
% 80.22/80.66  (step t302.t2.t18 (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)
% 80.22/80.66  (step t302.t2.t19 (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 (t302.t2.t17 t302.t2.t18))
% 80.22/80.66  (step t302.t2.t20 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t302.t2.t19 t302.t2.a1))
% 80.22/80.66  (step t302.t2.t21 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t302.t2.t15 t302.t2.t20))
% 80.22/80.66  (step t302.t2.t22 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t302.t2.t5 t302.t2.t21))
% 80.22/80.66  (step t302.t2.t23 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t302.t2.t2 t302.t2.t22))
% 80.22/80.66  (step t302.t2 (cl (not (= tptp.nil tptp.sk3)) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t302.t2.a0 t302.t2.a1 t302.t2.a2 t302.t2.a3))
% 80.22/80.66  (step t302.t3 (cl (not (and (= tptp.nil tptp.sk3) (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.nil tptp.sk3)) :rule and_pos)
% 80.22/80.66  (step t302.t4 (cl (not (and (= tptp.nil tptp.sk3) (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)
% 80.22/80.66  (step t302.t5 (cl (not (and (= tptp.nil tptp.sk3) (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)
% 80.22/80.66  (step t302.t6 (cl (not (and (= tptp.nil tptp.sk3) (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)
% 80.22/80.66  (step t302.t7 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (and (= tptp.nil tptp.sk3) (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 (= tptp.nil tptp.sk3) (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 (= tptp.nil tptp.sk3) (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 (= tptp.nil tptp.sk3) (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 (t302.t2 t302.t3 t302.t4 t302.t5 t302.t6))
% 80.22/80.66  (step t302.t8 (cl (not (and (= tptp.nil tptp.sk3) (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 (= tptp.nil tptp.sk3) (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 (= tptp.nil tptp.sk3) (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 (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t302.t7))
% 80.22/80.66  (step t302.t9 (cl (not (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t302.t8))
% 80.22/80.66  (step t302.t10 (cl (=> (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t302.t1 t302.t9))
% 80.22/80.66  (step t302.t11 (cl (=> (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t302.t12 (cl (=> (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t302.t10 t302.t11))
% 80.22/80.66  (step t302.t13 (cl (=> (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t302.t12))
% 80.22/80.66  (step t302.t14 (cl (not (and (= tptp.nil tptp.sk3) (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.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t302.t13))
% 80.22/80.66  (step t302.t15 (cl (and (= tptp.nil tptp.sk3) (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.sk3)) (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)
% 80.22/80.66  (step t302.t16 (cl (and (= tptp.nil tptp.sk3) (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 (t302.t15 t302.a0 t302.a3 t302.a2 t302.a1))
% 80.22/80.66  (step t302.t17 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t302.t14 t302.t16))
% 80.22/80.66  (step t302 (cl (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 subproof :discharge (t302.a0 t302.a1 t302.a2 t302.a3))
% 80.22/80.66  (step t303 (cl (not (and (= 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.nil tptp.sk3)) :rule and_pos)
% 80.22/80.66  (step t304 (cl (not (and (= 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.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 80.22/80.66  (step t305 (cl (not (and (= 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.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 80.22/80.66  (step t306 (cl (not (and (= 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))))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 80.22/80.66  (step t307 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (and (= 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))))) (not (and (= 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))))) (not (and (= 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))))) (not (and (= 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)))))) :rule resolution :premises (t302 t303 t304 t305 t306))
% 80.22/80.66  (step t308 (cl (not (and (= 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))))) (not (and (= 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))))) (not (and (= 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))))) (not (and (= 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))))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t307))
% 80.22/80.66  (step t309 (cl (not (and (= 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))))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t308))
% 80.22/80.66  (step t310 (cl (=> (and (= 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)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t301 t309))
% 80.22/80.66  (step t311 (cl (=> (and (= 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)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t312 (cl (=> (and (= 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)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (and (= 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)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t310 t311))
% 80.22/80.66  (step t313 (cl (=> (and (= 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)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t312))
% 80.22/80.66  (step t314 (cl (not (and (= 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))))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t313))
% 80.22/80.66  (step t315 (cl (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 (t300 t314))
% 80.22/80.66  (step t316 (cl (or (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)
% 80.22/80.66  (step t317 (cl (or (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)
% 80.22/80.66  (step t318 (cl (or (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)
% 80.22/80.66  (step t319 (cl (or (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)
% 80.22/80.66  (step t320 (cl (or (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)
% 80.22/80.66  (step t321 (cl (or (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.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.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.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.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 (t315 t316 t317 t318 t319 t320))
% 80.22/80.66  (step t322 (cl (or (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 (t321))
% 80.22/80.66  (step t323 (cl (or (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 (t286 t299 t322))
% 80.22/80.66  (step t324 (cl (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 (t323))
% 80.22/80.66  (step t325 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)) :rule or_pos)
% 80.22/80.66  (step t326 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t325))
% 80.22/80.66  (step t327 (cl (not (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))) :rule or_pos)
% 80.22/80.66  (step t328 (cl (not (tptp.ssList tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule reordering :premises (t327))
% 80.22/80.66  (step t329 (cl (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)) :rule or_pos)
% 80.22/80.66  (step t330 (cl (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule reordering :premises (t329))
% 80.22/80.66  (step t331 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t332)
% 80.22/80.66  (assume t332.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 80.22/80.66  (step t332.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 80.22/80.66  (step t332.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule or :premises (t332.t1))
% 80.22/80.66  (step t332.t3 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t332.t2 t332.a0))
% 80.22/80.66  (step t332 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule subproof :discharge (t332.a0))
% 80.22/80.66  (step t333 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t331 t332))
% 80.22/80.66  (step t334 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule implies_neg2)
% 80.22/80.66  (step t335 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t333 t334))
% 80.22/80.66  (step t336 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule contraction :premises (t335))
% 80.22/80.66  (step t337 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule implies :premises (t336))
% 80.22/80.66  (step t338 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t337 a56))
% 80.22/80.66  (step t339 (cl (tptp.segmentP tptp.sk3 tptp.sk3)) :rule resolution :premises (t330 a187 t338))
% 80.22/80.66  (step t340 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t341)
% 80.22/80.66  (assume t341.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))
% 80.22/80.66  (step t341.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule forall_inst :args ((:= A tptp.sk3)))
% 80.22/80.66  (step t341.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule or :premises (t341.t1))
% 80.22/80.66  (step t341.t3 (cl (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t341.t2 t341.a0))
% 80.22/80.66  (step t341 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule subproof :discharge (t341.a0))
% 80.22/80.66  (step t342 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t340 t341))
% 80.22/80.66  (step t343 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (not (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule implies_neg2)
% 80.22/80.66  (step t344 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule resolution :premises (t342 t343))
% 80.22/80.66  (step t345 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3))))) :rule contraction :premises (t344))
% 80.22/80.66  (step t346 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule implies :premises (t345))
% 80.22/80.66  (step t347 (cl (not (= (forall ((A $$unsorted)) (or (= tptp.nil tptp.sk2) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))) (or (= tptp.nil tptp.sk4) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))))) (not (forall ((A $$unsorted)) (or (= tptp.nil tptp.sk2) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))))) (or (= tptp.nil tptp.sk4) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))) :rule equiv_pos2)
% 80.22/80.66  (step t348 (cl (= (forall ((A $$unsorted)) (or (= tptp.nil tptp.sk2) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))) (or (= tptp.nil tptp.sk2) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))))))) :rule all_simplify)
% 80.22/80.66  (step t349 (cl (= tptp.nil tptp.nil)) :rule refl)
% 80.22/80.66  (step t350 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t116))
% 80.22/80.66  (step t351 (cl (= (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk4))) :rule cong :premises (t349 t350))
% 80.22/80.66  (anchor :step t352 :args ((A $$unsorted) (:= A A)))
% 80.22/80.66  (step t352.t1 (cl (= A A)) :rule refl)
% 80.22/80.66  (step t352.t2 (cl (= (not (tptp.ssList A)) (not (tptp.ssList A)))) :rule refl)
% 80.22/80.66  (step t352.t3 (cl (= (not (tptp.neq A tptp.nil)) (not (tptp.neq A tptp.nil)))) :rule refl)
% 80.22/80.66  (step t352.t4 (cl (= A A)) :rule refl)
% 80.22/80.66  (step t352.t5 (cl (= (tptp.segmentP tptp.sk2 A) (tptp.segmentP tptp.sk4 A))) :rule cong :premises (t350 t352.t4))
% 80.22/80.66  (step t352.t6 (cl (= (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk4 A)))) :rule cong :premises (t352.t5))
% 80.22/80.66  (step t352.t7 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t116))
% 80.22/80.66  (step t352.t8 (cl (= (tptp.segmentP tptp.sk1 A) (tptp.segmentP tptp.sk3 A))) :rule cong :premises (t352.t7 t352.t4))
% 80.22/80.66  (step t352.t9 (cl (= (not (tptp.segmentP tptp.sk1 A)) (not (tptp.segmentP tptp.sk3 A)))) :rule cong :premises (t352.t8))
% 80.22/80.66  (step t352.t10 (cl (= (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule cong :premises (t352.t2 t352.t3 t352.t6 t352.t9))
% 80.22/80.66  (step t352 (cl (= (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))) :rule bind)
% 80.22/80.66  (step t353 (cl (= (or (= tptp.nil tptp.sk2) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))))) (or (= tptp.nil tptp.sk4) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))))) :rule cong :premises (t351 t352))
% 80.22/80.66  (step t354 (cl (= (forall ((A $$unsorted)) (or (= tptp.nil tptp.sk2) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))) (or (= tptp.nil tptp.sk4) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))))) :rule trans :premises (t348 t353))
% 80.22/80.66  (step t355 (cl (or (= tptp.nil tptp.sk4) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))) :rule resolution :premises (t347 t354 a195))
% 80.22/80.66  (step t356 (cl (= tptp.nil tptp.sk4) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule or :premises (t355))
% 80.22/80.66  (step t357 (cl (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A))))) :rule resolution :premises (t356 t193))
% 80.22/80.66  (step t358 (cl (or (not (tptp.ssList tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t346 t357))
% 80.22/80.66  (step t359 (cl (not (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t328 a187 a191 t339 t358))
% 80.22/80.66  (step t360 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t361)
% 80.22/80.66  (assume t361.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 80.22/80.66  (step t361.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk3)))
% 80.22/80.66  (step t361.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule or :premises (t361.t1))
% 80.22/80.66  (step t361.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t361.t2 t361.a0))
% 80.22/80.66  (step t361 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t361.a0))
% 80.22/80.66  (step t362 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t360 t361))
% 80.22/80.66  (step t363 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 80.22/80.66  (step t364 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t362 t363))
% 80.22/80.66  (step t365 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t364))
% 80.22/80.66  (step t366 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule implies :premises (t365))
% 80.22/80.66  (step t367 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 80.22/80.66  (anchor :step t368 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.22/80.66  (step t368.t1 (cl (= U U)) :rule refl)
% 80.22/80.66  (step t368.t2 (cl (= V V)) :rule refl)
% 80.22/80.66  (step t368.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.22/80.66  (step t368.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.22/80.66  (step t368.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 80.22/80.66  (step t368.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 80.22/80.66  (step t368.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t368.t3 t368.t4 t368.t5 t368.t6))
% 80.22/80.66  (step t368 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 80.22/80.66  (step t369 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t367 t368 a99))
% 80.22/80.66  (step t370 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t366 t369))
% 80.22/80.66  (step t371 (cl (= tptp.nil tptp.sk3)) :rule resolution :premises (t326 a7 a187 t359 t370))
% 80.22/80.66  (step t372 (cl (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 80.22/80.66  (step t373 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t372))
% 80.22/80.66  (step t374 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t375)
% 80.22/80.66  (assume t375.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 80.22/80.66  (step t375.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 80.22/80.66  (step t375.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule or :premises (t375.t1))
% 80.22/80.66  (step t375.t3 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t375.t2 t375.a0))
% 80.22/80.66  (step t375 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t375.a0))
% 80.22/80.66  (step t376 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t374 t375))
% 80.22/80.66  (step t377 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 80.22/80.66  (step t378 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t376 t377))
% 80.22/80.66  (step t379 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t378))
% 80.22/80.66  (step t380 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t379))
% 80.22/80.66  (step t381 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 80.22/80.66  (anchor :step t382 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 80.22/80.66  (step t382.t1 (cl (= U U)) :rule refl)
% 80.22/80.66  (step t382.t2 (cl (= V V)) :rule refl)
% 80.22/80.66  (step t382.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 80.22/80.66  (step t382.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t382.t3))
% 80.22/80.66  (step t382.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 80.22/80.66  (step t382.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 80.22/80.66  (step t382.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t382.t4 t382.t5 t382.t6))
% 80.22/80.66  (step t382 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 80.22/80.66  (step t383 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t381 t382 a97))
% 80.22/80.66  (step t384 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t380 t383))
% 80.22/80.66  (step t385 (cl (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t373 a7 t215 t384))
% 80.22/80.66  (step t386 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t324 t371 t205 t227 t385))
% 80.22/80.66  (step t387 (cl (not (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 80.22/80.66  (step t388 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule refl)
% 80.22/80.66  (step t389 (cl (= (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 80.22/80.66  (step t390 (cl (= (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)))) :rule refl)
% 80.22/80.66  (step t391 (cl (= (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 80.22/80.66  (step t392 (cl (= (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 80.22/80.66  (step t393 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t389 t390 t391 t392))
% 80.22/80.66  (step t394 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t388 t393))
% 80.22/80.66  (step t395 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t396)
% 80.22/80.66  (assume t396.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 80.22/80.66  (step t396.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V tptp.sk3)))
% 80.22/80.66  (step t396.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule or :premises (t396.t1))
% 80.22/80.66  (step t396.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t396.t2 t396.a0))
% 80.22/80.66  (step t396 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule subproof :discharge (t396.a0))
% 80.22/80.66  (step t397 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t395 t396))
% 80.22/80.66  (step t398 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 80.22/80.66  (step t399 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule resolution :premises (t397 t398))
% 80.22/80.66  (step t400 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule contraction :premises (t399))
% 80.22/80.66  (step t401 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t387 t394 t400))
% 80.22/80.66  (step t402 (cl (not (forall ((U $$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 (t401))
% 80.22/80.66  (step t403 (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 (t402 t369))
% 80.22/80.66  (step t404 (cl (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t285 a187 t239 t386 t403))
% 80.22/80.66  (step t405 (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)
% 80.22/80.66  (step t406 (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)
% 80.22/80.66  (anchor :step t407)
% 80.22/80.66  (assume t407.a0 (= tptp.nil tptp.sk3))
% 80.22/80.66  (assume t407.a1 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (anchor :step t407.t2)
% 80.22/80.66  (assume t407.t2.a0 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 80.22/80.66  (assume t407.t2.a1 (= tptp.nil tptp.sk3))
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (step t407.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 (t407.t2.t1))
% 80.22/80.66  (step t407.t2.t3 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 80.22/80.66  (step t407.t2.t4 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t407.t2.a1))
% 80.22/80.66  (step t407.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 (t407.t2.t3 t407.t2.t4))
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (step t407.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 (t407.t2.t6))
% 80.22/80.66  (step t407.t2.t8 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true)) :rule resolution :premises (t407.t2.t7 t407.t2.a0))
% 80.22/80.66  (step t407.t2.t9 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) :rule trans :premises (t407.t2.t5 t407.t2.t8))
% 80.22/80.66  (step t407.t2.t10 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t407.t2.t2 t407.t2.t9))
% 80.22/80.66  (step t407.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 (t407.t2.a0 t407.t2.a1))
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (step t407.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 (t407.t2 t407.t3 t407.t4))
% 80.22/80.66  (step t407.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 (t407.t5))
% 80.22/80.66  (step t407.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 (t407.t6))
% 80.22/80.66  (step t407.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 (t407.t1 t407.t7))
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (step t407.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 (t407.t8 t407.t9))
% 80.22/80.66  (step t407.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 (t407.t10))
% 80.22/80.66  (step t407.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 (t407.t11))
% 80.22/80.66  (step t407.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)
% 80.22/80.66  (step t407.t14 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t407.t13 t407.a1 t407.a0))
% 80.22/80.66  (step t407.t15 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t407.t12 t407.t14))
% 80.22/80.66  (step t407 (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 (t407.a0 t407.a1))
% 80.22/80.66  (step t408 (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)
% 80.22/80.66  (step t409 (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)
% 80.22/80.66  (step t410 (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 (t407 t408 t409))
% 80.22/80.66  (step t411 (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 (t410))
% 80.22/80.66  (step t412 (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 (t411))
% 80.22/80.66  (step t413 (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 (t406 t412))
% 80.22/80.66  (step t414 (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)
% 80.22/80.66  (step t415 (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 (t413 t414))
% 80.22/80.66  (step t416 (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 (t415))
% 80.22/80.66  (step t417 (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 (t416))
% 80.22/80.66  (step t418 (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 (t405 t417))
% 80.22/80.66  (step t419 (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 (t418))
% 80.22/80.66  (step t420 (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)
% 80.22/80.66  (step t421 (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 (t420))
% 80.22/80.66  (step t422 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t423)
% 80.22/80.66  (assume t423.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 80.22/80.66  (step t423.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.66  (step t423.t2 (cl (not (forall ((U $$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 (t423.t1))
% 80.22/80.66  (step t423.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 (t423.t2 t423.a0))
% 80.22/80.66  (step t423 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule subproof :discharge (t423.a0))
% 80.22/80.66  (step t424 (cl (=> (forall ((U $$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 (t422 t423))
% 80.22/80.66  (step t425 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule implies_neg2)
% 80.22/80.66  (step t426 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t424 t425))
% 80.22/80.66  (step t427 (cl (=> (forall ((U $$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 (t426))
% 80.22/80.66  (step t428 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies :premises (t427))
% 80.22/80.66  (step t429 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t428 a55))
% 80.22/80.66  (step t430 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule resolution :premises (t421 t239 t429))
% 80.22/80.66  (step t431 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t419 t371 t430))
% 80.22/80.66  (step t432 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP 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.segmentP 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 $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t433)
% 80.22/80.66  (assume t433.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))))
% 80.22/80.66  (step t433.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= A (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.66  (step t433.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP 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.segmentP 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 (t433.t1))
% 80.22/80.66  (step t433.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.segmentP 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 (t433.t2 t433.a0))
% 80.22/80.66  (step t433 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t433.a0))
% 80.22/80.66  (step t434 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP 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.segmentP 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.segmentP 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 (t432 t433))
% 80.22/80.66  (step t435 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 80.22/80.66  (step t436 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP 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.segmentP 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 $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t434 t435))
% 80.22/80.66  (step t437 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP 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.segmentP 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 (t436))
% 80.22/80.66  (step t438 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t437))
% 80.22/80.66  (step t439 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t438 a193))
% 80.22/80.66  (step t440 (cl (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t261 t239 t283 t404 t431 t439))
% 80.22/80.66  (step t441 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 80.22/80.66  (step t442 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t441))
% 80.22/80.66  (step t443 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t444)
% 80.22/80.66  (assume t444.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 80.22/80.66  (step t444.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 80.22/80.66  (step t444.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t444.t1))
% 80.22/80.66  (step t444.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t444.t2 t444.a0))
% 80.22/80.66  (step t444 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t444.a0))
% 80.22/80.66  (step t445 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t443 t444))
% 80.22/80.66  (step t446 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 80.22/80.66  (step t447 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t445 t446))
% 80.22/80.66  (step t448 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t447))
% 80.22/80.66  (step t449 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t448))
% 80.22/80.66  (step t450 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 80.22/80.66  (anchor :step t451 :args ((U $$unsorted) (:= U U)))
% 80.22/80.66  (step t451.t1 (cl (= U U)) :rule refl)
% 80.22/80.66  (step t451.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 80.22/80.66  (step t451.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 80.22/80.66  (step t451.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t451.t2 t451.t3))
% 80.22/80.66  (step t451 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 80.22/80.66  (step t452 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t450 t451 a73))
% 80.22/80.66  (step t453 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t449 t452))
% 80.22/80.66  (step t454 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t442 t239 t453))
% 80.22/80.66  (step t455 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule or_pos)
% 80.22/80.66  (step t456 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule reordering :premises (t455))
% 80.22/80.66  (step t457 (cl (not (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule equiv_pos2)
% 80.22/80.66  (step t458 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 80.22/80.66  (step t459 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))))) :rule refl)
% 80.22/80.66  (step t460 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))))) :rule refl)
% 80.22/80.66  (step t461 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule all_simplify)
% 80.22/80.66  (step t462 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule cong :premises (t459 t460 t461))
% 80.22/80.66  (step t463 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) :rule cong :premises (t458 t462))
% 80.22/80.66  (step t464 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 80.22/80.66  (anchor :step t465)
% 80.22/80.66  (assume t465.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 80.22/80.66  (step t465.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 80.22/80.66  (step t465.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or :premises (t465.t1))
% 80.22/80.66  (step t465.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t465.t2 t465.a0))
% 80.22/80.66  (step t465 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule subproof :discharge (t465.a0))
% 80.22/80.66  (step t466 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t464 t465))
% 80.22/80.66  (step t467 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg2)
% 80.22/80.66  (step t468 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t466 t467))
% 80.22/80.66  (step t469 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule contraction :premises (t468))
% 80.22/80.66  (step t470 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t457 t463 t469))
% 80.22/80.66  (step t471 (cl (not (forall ((U $$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 (t470))
% 80.22/80.66  (step t472 (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 (t471 a119))
% 80.22/80.66  (step t473 (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 (t456 t215 t84 t472))
% 80.22/80.66  (step t474 (cl) :rule resolution :premises (t73 t259 t440 t454 t473 t227 t205))
% 80.22/80.66  
% 80.24/80.67  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.7tFAZl0wKt/cvc5---1.0.5_1187.smt2
% 80.24/80.67  % cvc5---1.0.5 exiting
% 80.24/80.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------