%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC214-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n020.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 18:01:00 EDT 2024

% Result   : Unsatisfiable 76.55s 76.80s
% Output   : Proof 76.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC214-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 26 15:53:54 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.68  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.47/15.71  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.56/20.73  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.53/25.76  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.59/30.80  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.65/35.83  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.68/40.87  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.69/45.91  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.69/50.94  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.75/55.97  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.75/61.00  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.85/66.07  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.90/76.11  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.55/76.80  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.zGBUlpqybt/cvc5---1.0.5_28711.smt2
% 76.55/76.80  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.zGBUlpqybt/cvc5---1.0.5_28711.smt2
% 76.63/76.83  (assume a0 (tptp.equalelemsP tptp.nil))
% 76.63/76.83  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 76.63/76.83  (assume a2 (tptp.strictorderedP tptp.nil))
% 76.63/76.83  (assume a3 (tptp.totalorderedP tptp.nil))
% 76.63/76.83  (assume a4 (tptp.strictorderP tptp.nil))
% 76.63/76.83  (assume a5 (tptp.totalorderP tptp.nil))
% 76.63/76.83  (assume a6 (tptp.cyclefreeP tptp.nil))
% 76.63/76.83  (assume a7 (tptp.ssList tptp.nil))
% 76.63/76.83  (assume a8 (tptp.ssItem tptp.skac3))
% 76.63/76.83  (assume a9 (tptp.ssItem tptp.skac2))
% 76.63/76.83  (assume a10 (not (tptp.singletonP tptp.nil)))
% 76.63/76.83  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.63/76.83  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.63/76.83  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 76.63/76.83  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 76.63/76.83  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 76.63/76.83  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 76.63/76.83  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 76.63/76.83  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 76.63/76.83  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 76.63/76.83  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 76.63/76.83  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 76.63/76.83  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 76.63/76.83  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 76.63/76.83  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 76.63/76.83  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 76.63/76.83  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 76.63/76.83  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 76.63/76.83  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 76.63/76.83  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 76.63/76.83  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 76.63/76.83  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 76.63/76.83  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 76.63/76.83  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 76.63/76.83  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 76.63/76.83  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 76.63/76.83  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 76.63/76.83  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 76.63/76.83  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 76.63/76.83  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 76.63/76.83  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 76.63/76.83  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 76.63/76.83  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 76.63/76.83  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 76.63/76.83  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 76.63/76.83  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 76.63/76.83  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 76.63/76.83  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 76.63/76.83  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 76.63/76.83  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 76.63/76.83  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 76.63/76.83  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 76.63/76.83  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 76.63/76.83  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 76.63/76.83  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 76.63/76.83  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.63/76.83  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 76.63/76.83  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 76.63/76.83  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 76.63/76.83  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 76.63/76.83  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 76.63/76.83  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 76.63/76.83  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 76.63/76.83  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 76.63/76.83  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 76.63/76.83  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 76.63/76.83  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 76.63/76.83  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 76.63/76.83  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.63/76.83  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.63/76.83  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.63/76.83  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.63/76.83  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 76.63/76.83  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.63/76.83  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 76.63/76.83  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.63/76.83  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 76.63/76.83  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.63/76.83  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 76.63/76.83  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.63/76.83  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 76.63/76.83  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 76.63/76.83  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 76.63/76.83  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 76.63/76.83  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 76.63/76.83  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.63/76.83  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.63/76.83  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.63/76.83  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.63/76.83  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 76.63/76.83  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 76.63/76.83  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.63/76.83  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.63/76.83  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 76.63/76.83  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 76.63/76.83  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 76.63/76.83  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 76.63/76.83  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 76.63/76.83  (assume a104 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))))
% 76.63/76.83  (assume a105 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))))
% 76.63/76.83  (assume a106 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))))
% 76.63/76.83  (assume a107 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))))
% 76.63/76.83  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 76.63/76.83  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.63/76.83  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.63/76.83  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 76.63/76.83  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 76.63/76.83  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.63/76.83  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 76.63/76.83  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 76.63/76.83  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.63/76.83  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.63/76.83  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 76.63/76.83  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.63/76.83  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.63/76.83  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.63/76.83  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 76.63/76.83  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 76.63/76.83  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 76.63/76.83  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.63/76.83  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.63/76.83  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.63/76.83  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.63/76.83  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.63/76.83  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 76.63/76.83  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 76.63/76.83  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 76.63/76.83  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 76.63/76.83  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 76.63/76.83  (assume a135 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))))
% 76.63/76.83  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 76.63/76.83  (assume a137 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))))
% 76.63/76.83  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 76.63/76.83  (assume a139 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))))
% 76.63/76.83  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 76.63/76.83  (assume a141 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))))
% 76.63/76.83  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 76.63/76.83  (assume a143 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))
% 76.63/76.83  (assume a144 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))
% 76.63/76.83  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 76.63/76.83  (assume a146 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 76.63/76.83  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 76.63/76.83  (assume a148 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 76.63/76.83  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 76.63/76.83  (assume a150 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 76.63/76.83  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 76.63/76.83  (assume a152 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))))
% 76.63/76.83  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 76.63/76.83  (assume a154 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))))
% 76.63/76.83  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 76.63/76.83  (assume a156 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))
% 76.63/76.83  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 76.63/76.83  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.63/76.83  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.63/76.83  (assume a160 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))))
% 76.63/76.83  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 76.63/76.83  (assume a162 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))))
% 76.63/76.83  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 76.63/76.83  (assume a164 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))))
% 76.63/76.83  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 76.63/76.83  (assume a166 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))))
% 76.63/76.83  (assume a167 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))
% 76.63/76.83  (assume a168 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))))
% 76.63/76.83  (assume a169 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))))
% 76.63/76.83  (assume a170 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))))
% 76.63/76.83  (assume a171 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 76.63/76.83  (assume a172 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))
% 76.63/76.83  (assume a173 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))))
% 76.63/76.83  (assume a174 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))
% 76.63/76.83  (assume a175 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))))
% 76.63/76.83  (assume a176 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))))
% 76.63/76.83  (assume a177 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))))
% 76.63/76.83  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 76.63/76.83  (assume a179 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))
% 76.63/76.83  (assume a180 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))))
% 76.63/76.83  (assume a181 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))))
% 76.63/76.83  (assume a182 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))))
% 76.63/76.83  (assume a183 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))))
% 76.63/76.83  (assume a184 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))))
% 76.63/76.83  (assume a185 (tptp.ssList tptp.sk1))
% 76.63/76.83  (assume a186 (tptp.ssList tptp.sk2))
% 76.63/76.83  (assume a187 (tptp.ssList tptp.sk3))
% 76.63/76.83  (assume a188 (tptp.ssList tptp.sk4))
% 76.63/76.83  (assume a189 (= tptp.sk2 tptp.sk4))
% 76.63/76.83  (assume a190 (= tptp.sk1 tptp.sk3))
% 76.63/76.83  (assume a191 (tptp.neq tptp.sk2 tptp.nil))
% 76.63/76.83  (assume a192 (tptp.frontsegP tptp.sk4 tptp.sk3))
% 76.63/76.83  (assume a193 (tptp.strictorderedP tptp.sk3))
% 76.63/76.83  (assume a194 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))))
% 76.63/76.83  (assume a195 (not (tptp.neq tptp.sk1 tptp.nil)))
% 76.63/76.83  (step t1 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 76.63/76.83  (step t2 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t1))
% 76.63/76.83  (step t3 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A))))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t4)
% 76.63/76.83  (assume t4.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))))
% 76.63/76.83  (step t4.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= A (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.63/76.83  (step t4.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t4.t1))
% 76.63/76.83  (step t4.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t4.t2 t4.a0))
% 76.63/76.83  (step t4 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t4.a0))
% 76.63/76.83  (step t5 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t3 t4))
% 76.63/76.83  (step t6 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.63/76.83  (step t7 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t5 t6))
% 76.63/76.83  (step t8 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t7))
% 76.63/76.83  (step t9 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.strictorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t8))
% 76.63/76.83  (step t10 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t9 a194))
% 76.63/76.83  (step t11 (cl (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule and_neg)
% 76.63/76.83  (step t12 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t13)
% 76.63/76.83  (assume t13.a0 (= tptp.nil tptp.sk3))
% 76.63/76.83  (assume t13.a1 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.63/76.83  (step t13.t1 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t13.t2)
% 76.63/76.83  (assume t13.t2.a0 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.63/76.83  (assume t13.t2.a1 (= tptp.nil tptp.sk3))
% 76.63/76.83  (step t13.t2.t1 (cl (= (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule equiv_simplify)
% 76.63/76.83  (step t13.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 (t13.t2.t1))
% 76.63/76.83  (step t13.t2.t3 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 76.63/76.83  (step t13.t2.t4 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t13.t2.a1))
% 76.63/76.83  (step t13.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 (t13.t2.t3 t13.t2.t4))
% 76.63/76.83  (step t13.t2.t6 (cl (= (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule equiv_simplify)
% 76.63/76.83  (step t13.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 (t13.t2.t6))
% 76.63/76.83  (step t13.t2.t8 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true)) :rule resolution :premises (t13.t2.t7 t13.t2.a0))
% 76.63/76.83  (step t13.t2.t9 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) :rule trans :premises (t13.t2.t5 t13.t2.t8))
% 76.63/76.83  (step t13.t2.t10 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t13.t2.t2 t13.t2.t9))
% 76.63/76.83  (step t13.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 (t13.t2.a0 t13.t2.a1))
% 76.63/76.83  (step t13.t3 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule and_pos)
% 76.63/76.83  (step t13.t4 (cl (not (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.63/76.83  (step t13.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 (t13.t2 t13.t3 t13.t4))
% 76.63/76.83  (step t13.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 (t13.t5))
% 76.63/76.83  (step t13.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 (t13.t6))
% 76.63/76.83  (step t13.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 (t13.t1 t13.t7))
% 76.63/76.83  (step t13.t9 (cl (=> (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule implies_neg2)
% 76.63/76.83  (step t13.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 (t13.t8 t13.t9))
% 76.63/76.83  (step t13.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 (t13.t10))
% 76.63/76.83  (step t13.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 (t13.t11))
% 76.63/76.83  (step t13.t13 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.63/76.83  (step t13.t14 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t13.t13 t13.a1 t13.a0))
% 76.63/76.83  (step t13.t15 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t13.t12 t13.t14))
% 76.63/76.83  (step t13 (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 (t13.a0 t13.a1))
% 76.63/76.83  (step t14 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.63/76.83  (step t15 (cl (not (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule and_pos)
% 76.63/76.83  (step t16 (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 (t13 t14 t15))
% 76.63/76.83  (step t17 (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 (t16))
% 76.63/76.83  (step t18 (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 (t17))
% 76.63/76.83  (step t19 (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 (t12 t18))
% 76.63/76.83  (step t20 (cl (=> (and (= tptp.nil tptp.sk3) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule implies_neg2)
% 76.63/76.83  (step t21 (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 (t19 t20))
% 76.63/76.83  (step t22 (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 (t21))
% 76.63/76.83  (step t23 (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 (t22))
% 76.63/76.83  (step t24 (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 (t11 t23))
% 76.63/76.83  (step t25 (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 (t24))
% 76.63/76.83  (step t26 (cl (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)) :rule or_pos)
% 76.63/76.83  (step t27 (cl (not (tptp.ssList tptp.nil)) (tptp.neq tptp.sk3 tptp.nil) (not (tptp.ssList tptp.sk3)) (= 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 reordering :premises (t26))
% 76.63/76.83  (step t28 (cl (not (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) (not (not (tptp.neq tptp.sk1 tptp.nil))) (not (tptp.neq tptp.sk3 tptp.nil))) :rule equiv_pos2)
% 76.63/76.83  (step t29 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 76.63/76.83  (step t30 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t29 a190 a189))
% 76.63/76.83  (step t31 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t30))
% 76.63/76.83  (step t32 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.63/76.83  (step t33 (cl (= (tptp.neq tptp.sk1 tptp.nil) (tptp.neq tptp.sk3 tptp.nil))) :rule cong :premises (t31 t32))
% 76.63/76.83  (step t34 (cl (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) :rule cong :premises (t33))
% 76.63/76.83  (step t35 (cl (not (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t28 t34 a195))
% 76.63/76.83  (step t36 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t37)
% 76.63/76.83  (assume t37.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.63/76.83  (step t37.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk3)))
% 76.63/76.83  (step t37.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule or :premises (t37.t1))
% 76.63/76.83  (step t37.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t37.t2 t37.a0))
% 76.63/76.83  (step t37 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t37.a0))
% 76.63/76.83  (step t38 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t36 t37))
% 76.63/76.83  (step t39 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 76.63/76.83  (step t40 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t38 t39))
% 76.63/76.83  (step t41 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t40))
% 76.63/76.83  (step t42 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule implies :premises (t41))
% 76.63/76.83  (step t43 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 76.63/76.83  (anchor :step t44 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.63/76.83  (step t44.t1 (cl (= U U)) :rule refl)
% 76.63/76.83  (step t44.t2 (cl (= V V)) :rule refl)
% 76.63/76.83  (step t44.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.63/76.83  (step t44.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.63/76.83  (step t44.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 76.63/76.83  (step t44.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 76.63/76.83  (step t44.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t44.t3 t44.t4 t44.t5 t44.t6))
% 76.63/76.83  (step t44 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 76.63/76.83  (step t45 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t43 t44 a99))
% 76.63/76.83  (step t46 (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 (t42 t45))
% 76.63/76.83  (step t47 (cl (= tptp.nil tptp.sk3)) :rule resolution :premises (t27 a7 t35 a187 t46))
% 76.63/76.83  (step t48 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.63/76.83  (step t49 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t50)
% 76.63/76.83  (assume t50.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (assume t50.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.63/76.83  (assume t50.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (assume t50.a3 (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.63/76.83  (step t50.t1 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t50.t2)
% 76.63/76.83  (assume t50.t2.a0 (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.63/76.83  (assume t50.t2.a1 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (assume t50.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (assume t50.t2.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.63/76.83  (step t50.t2.t1 (cl (= (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.63/76.83  (step t50.t2.t2 (cl (not (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule equiv1 :premises (t50.t2.t1))
% 76.63/76.83  (step t50.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t50.t2.a2))
% 76.63/76.83  (step t50.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t50.t2.t3))
% 76.63/76.83  (step t50.t2.t5 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t50.t2.a1))
% 76.63/76.83  (step t50.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t50.t2.t5))
% 76.63/76.83  (step t50.t2.t7 (cl (= tptp.sk4 (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule trans :premises (t50.t2.t4 t50.t2.t6))
% 76.63/76.83  (step t50.t2.t8 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t50.t2.t4))
% 76.63/76.83  (step t50.t2.t9 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t50.t2.a3))
% 76.63/76.83  (step t50.t2.t10 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t50.t2.t8 t50.t2.t9))
% 76.63/76.83  (step t50.t2.t11 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.63/76.83  (step t50.t2.t12 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t50.t2.t10 t50.t2.t11))
% 76.63/76.83  (step t50.t2.t13 (cl (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t50.t2.t7 t50.t2.t12))
% 76.63/76.83  (step t50.t2.t14 (cl (= (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.63/76.83  (step t50.t2.t15 (cl (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t50.t2.t14))
% 76.63/76.83  (step t50.t2.t16 (cl (= (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t50.t2.t15 t50.t2.a0))
% 76.63/76.83  (step t50.t2.t17 (cl (= (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t50.t2.t13 t50.t2.t16))
% 76.63/76.83  (step t50.t2.t18 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t50.t2.t2 t50.t2.t17))
% 76.63/76.83  (step t50.t2 (cl (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t50.t2.a0 t50.t2.a1 t50.t2.a2 t50.t2.a3))
% 76.63/76.83  (step t50.t3 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.63/76.83  (step t50.t4 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.83  (step t50.t5 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.83  (step t50.t6 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.63/76.83  (step t50.t7 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t50.t2 t50.t3 t50.t4 t50.t5 t50.t6))
% 76.63/76.83  (step t50.t8 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t50.t7))
% 76.63/76.83  (step t50.t9 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t50.t8))
% 76.63/76.83  (step t50.t10 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t50.t1 t50.t9))
% 76.63/76.83  (step t50.t11 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.63/76.83  (step t50.t12 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t50.t10 t50.t11))
% 76.63/76.83  (step t50.t13 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t50.t12))
% 76.63/76.83  (step t50.t14 (cl (not (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t50.t13))
% 76.63/76.83  (step t50.t15 (cl (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule and_neg)
% 76.63/76.83  (step t50.t16 (cl (and (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t50.t15 t50.a3 t50.a2 t50.a0 t50.a1))
% 76.63/76.83  (step t50.t17 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t50.t14 t50.t16))
% 76.63/76.83  (step t50 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t50.a0 t50.a1 t50.a2 t50.a3))
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.83  (step t54 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.63/76.83  (step t55 (cl (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t50 t51 t52 t53 t54))
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t55))
% 76.63/76.83  (step t57 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t56))
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t49 t57))
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.63/76.83  (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.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t58 t59))
% 76.63/76.83  (step t61 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t60))
% 76.63/76.83  (step t62 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t61))
% 76.63/76.83  (step t63 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t48 t62))
% 76.63/76.83  (step t64 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule reordering :premises (t63))
% 76.63/76.83  (step t65 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule or_pos)
% 76.63/76.83  (step t66 (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 (t65))
% 76.63/76.83  (step t67 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t68)
% 76.63/76.83  (assume t68.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.63/76.83  (step t68.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.63/76.83  (step t68.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule or :premises (t68.t1))
% 76.63/76.83  (step t68.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t68.t2 t68.a0))
% 76.63/76.83  (step t68 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule subproof :discharge (t68.a0))
% 76.63/76.83  (step t69 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t67 t68))
% 76.63/76.83  (step t70 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule implies_neg2)
% 76.63/76.83  (step t71 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule resolution :premises (t69 t70))
% 76.63/76.83  (step t72 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule contraction :premises (t71))
% 76.63/76.83  (step t73 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule implies :premises (t72))
% 76.63/76.83  (step t74 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t73 a11))
% 76.63/76.83  (step t75 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t76)
% 76.63/76.83  (assume t76.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.63/76.83  (step t76.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.63/76.83  (step t76.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule or :premises (t76.t1))
% 76.63/76.83  (step t76.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t76.t2 t76.a0))
% 76.63/76.83  (step t76 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule subproof :discharge (t76.a0))
% 76.63/76.83  (step t77 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t75 t76))
% 76.63/76.83  (step t78 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule implies_neg2)
% 76.63/76.83  (step t79 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t77 t78))
% 76.63/76.83  (step t80 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t79))
% 76.63/76.83  (step t81 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule implies :premises (t80))
% 76.63/76.83  (step t82 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t81 a12))
% 76.63/76.83  (step t83 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule equiv_pos2)
% 76.63/76.83  (step t84 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 76.63/76.83  (step t85 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))))) :rule refl)
% 76.63/76.83  (step t86 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))))) :rule refl)
% 76.63/76.83  (step t87 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule all_simplify)
% 76.63/76.83  (step t88 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule cong :premises (t85 t86 t87))
% 76.63/76.83  (step t89 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) :rule cong :premises (t84 t88))
% 76.63/76.83  (step t90 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t91)
% 76.63/76.83  (assume t91.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.63/76.83  (step t91.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (step t91.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or :premises (t91.t1))
% 76.63/76.83  (step t91.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t91.t2 t91.a0))
% 76.63/76.83  (step t91 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule subproof :discharge (t91.a0))
% 76.63/76.83  (step t92 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t90 t91))
% 76.63/76.83  (step t93 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg2)
% 76.63/76.83  (step t94 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t92 t93))
% 76.63/76.83  (step t95 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule contraction :premises (t94))
% 76.63/76.83  (step t96 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t83 t89 t95))
% 76.63/76.83  (step t97 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies :premises (t96))
% 76.63/76.83  (step t98 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t97 a119))
% 76.63/76.83  (step t99 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t66 t74 t82 t98))
% 76.63/76.83  (step t100 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or_pos)
% 76.63/76.83  (step t101 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule reordering :premises (t100))
% 76.63/76.83  (step t102 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t103)
% 76.63/76.83  (assume t103.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 76.63/76.83  (step t103.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (step t103.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or :premises (t103.t1))
% 76.63/76.83  (step t103.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t103.t2 t103.a0))
% 76.63/76.83  (step t103 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule subproof :discharge (t103.a0))
% 76.63/76.83  (step t104 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t102 t103))
% 76.63/76.83  (step t105 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule implies_neg2)
% 76.63/76.83  (step t106 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t104 t105))
% 76.63/76.83  (step t107 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule contraction :premises (t106))
% 76.63/76.83  (step t108 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies :premises (t107))
% 76.63/76.83  (step t109 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 76.63/76.83  (anchor :step t110 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.63/76.83  (step t110.t1 (cl (= U U)) :rule refl)
% 76.63/76.83  (step t110.t2 (cl (= V V)) :rule refl)
% 76.63/76.83  (step t110.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.63/76.83  (step t110.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.63/76.83  (step t110.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 76.63/76.83  (step t110.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t110.t3 t110.t4 t110.t5))
% 76.63/76.83  (step t110 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 76.63/76.83  (step t111 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t109 t110 a96))
% 76.63/76.83  (step t112 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t108 t111))
% 76.63/76.83  (step t113 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t101 t74 t82 t112))
% 76.63/76.83  (step t114 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule or_pos)
% 76.63/76.83  (step t115 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule reordering :premises (t114))
% 76.63/76.83  (step t116 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t117)
% 76.63/76.83  (assume t117.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.63/76.83  (step t117.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.63/76.83  (step t117.t2 (cl (not (forall ((U $$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 (t117.t1))
% 76.63/76.83  (step t117.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 (t117.t2 t117.a0))
% 76.63/76.83  (step t117 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule subproof :discharge (t117.a0))
% 76.63/76.83  (step t118 (cl (=> (forall ((U $$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 (t116 t117))
% 76.63/76.83  (step t119 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule implies_neg2)
% 76.63/76.83  (step t120 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t118 t119))
% 76.63/76.83  (step t121 (cl (=> (forall ((U $$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 (t120))
% 76.63/76.83  (step t122 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies :premises (t121))
% 76.63/76.83  (step t123 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t122 a55))
% 76.63/76.83  (step t124 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.63/76.83  (step t125 (cl (not (tptp.ssList tptp.sk3)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t124))
% 76.63/76.83  (step t126 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.63/76.83  (step t127 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule refl)
% 76.63/76.83  (step t128 (cl (= (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.63/76.83  (step t129 (cl (= (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)))) :rule refl)
% 76.63/76.83  (step t130 (cl (= (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 76.63/76.83  (step t131 (cl (= (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.63/76.83  (step t132 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t128 t129 t130 t131))
% 76.63/76.83  (step t133 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t127 t132))
% 76.63/76.83  (step t134 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t135)
% 76.63/76.83  (assume t135.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.63/76.83  (step t135.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V tptp.sk3)))
% 76.63/76.83  (step t135.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule or :premises (t135.t1))
% 76.63/76.83  (step t135.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t135.t2 t135.a0))
% 76.63/76.83  (step t135 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule subproof :discharge (t135.a0))
% 76.63/76.83  (step t136 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t134 t135))
% 76.63/76.83  (step t137 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 76.63/76.83  (step t138 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule resolution :premises (t136 t137))
% 76.63/76.83  (step t139 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule contraction :premises (t138))
% 76.63/76.83  (step t140 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t126 t133 t139))
% 76.63/76.83  (step t141 (cl (not (forall ((U $$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 (t140))
% 76.63/76.83  (step t142 (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 (t141 t45))
% 76.63/76.83  (step t143 (cl (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.63/76.83  (step t144 (cl (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t143))
% 76.63/76.83  (step t145 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t146)
% 76.63/76.83  (assume t146.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 76.63/76.83  (step t146.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (step t146.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t146.t1))
% 76.63/76.83  (step t146.t3 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t146.t2 t146.a0))
% 76.63/76.83  (step t146 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t146.a0))
% 76.63/76.83  (step t147 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t145 t146))
% 76.63/76.83  (step t148 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.63/76.83  (step t149 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t147 t148))
% 76.63/76.83  (step t150 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t149))
% 76.63/76.83  (step t151 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t150))
% 76.63/76.83  (step t152 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule equiv_pos2)
% 76.63/76.83  (anchor :step t153 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 76.63/76.83  (step t153.t1 (cl (= U U)) :rule refl)
% 76.63/76.83  (step t153.t2 (cl (= V V)) :rule refl)
% 76.63/76.83  (step t153.t3 (cl (= W W)) :rule refl)
% 76.63/76.83  (step t153.t4 (cl (= (= (tptp.app U V) W) (= W (tptp.app U V)))) :rule all_simplify)
% 76.63/76.83  (step t153.t5 (cl (= (not (= (tptp.app U V) W)) (not (= W (tptp.app U V))))) :rule cong :premises (t153.t4))
% 76.63/76.83  (step t153.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.63/76.83  (step t153.t7 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.63/76.83  (step t153.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 76.63/76.83  (step t153.t9 (cl (= (tptp.frontsegP W U) (tptp.frontsegP W U))) :rule refl)
% 76.63/76.83  (step t153.t10 (cl (= (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) :rule cong :premises (t153.t5 t153.t6 t153.t7 t153.t8 t153.t9))
% 76.63/76.83  (step t153 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))) :rule bind)
% 76.63/76.83  (step t154 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule all_simplify)
% 76.63/76.83  (anchor :step t155 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.63/76.83  (step t155.t1 (cl (= U U)) :rule refl)
% 76.63/76.83  (step t155.t2 (cl (= V V)) :rule refl)
% 76.63/76.83  (step t155.t3 (cl (= (= (tptp.app U V) (tptp.app U V)) true)) :rule all_simplify)
% 76.63/76.83  (step t155.t4 (cl (= (not (= (tptp.app U V) (tptp.app U V))) (not true))) :rule cong :premises (t155.t3))
% 76.63/76.83  (step t155.t5 (cl (= (not true) false)) :rule all_simplify)
% 76.63/76.83  (step t155.t6 (cl (= (not (= (tptp.app U V) (tptp.app U V))) false)) :rule trans :premises (t155.t4 t155.t5))
% 76.63/76.83  (step t155.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.63/76.83  (step t155.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.63/76.83  (step t155.t9 (cl (= (not (tptp.ssList (tptp.app U V))) (not (tptp.ssList (tptp.app U V))))) :rule refl)
% 76.63/76.83  (step t155.t10 (cl (= (tptp.frontsegP (tptp.app U V) U) (tptp.frontsegP (tptp.app U V) U))) :rule refl)
% 76.63/76.83  (step t155.t11 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule cong :premises (t155.t6 t155.t7 t155.t8 t155.t9 t155.t10))
% 76.63/76.83  (step t155.t12 (cl (= (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule all_simplify)
% 76.63/76.83  (step t155.t13 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule trans :premises (t155.t11 t155.t12))
% 76.63/76.83  (step t155 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule bind)
% 76.63/76.83  (step t156 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t154 t155))
% 76.63/76.83  (step t157 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t153 t156))
% 76.63/76.83  (step t158 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule resolution :premises (t152 t157 a143))
% 76.63/76.83  (step t159 (cl (or (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.frontsegP (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t151 t158))
% 76.63/76.83  (step t160 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.63/76.83  (step t161 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t160))
% 76.63/76.83  (step t162 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t163)
% 76.63/76.83  (assume t163.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.63/76.83  (step t163.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.63/76.83  (step t163.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t163.t1))
% 76.63/76.83  (step t163.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t163.t2 t163.a0))
% 76.63/76.83  (step t163 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t163.a0))
% 76.63/76.83  (step t164 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t162 t163))
% 76.63/76.83  (step t165 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.63/76.83  (step t166 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t164 t165))
% 76.63/76.83  (step t167 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t166))
% 76.63/76.83  (step t168 (cl (not (forall ((U $$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 (t167))
% 76.63/76.83  (step t169 (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 (t168 a85))
% 76.63/76.83  (step t170 (cl (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t161 a7 t74 t169))
% 76.63/76.83  (step t171 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t2 t10 t25 t47 t64 t99 t113 t115 t123 t125 t142 a187 t144 t159 t170 t82))
% 76.63/76.83  (step t172 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t171))
% 76.63/76.83  (step t173 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.63/76.83  (step t174 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t175)
% 76.63/76.83  (assume t175.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (assume t175.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.63/76.83  (assume t175.a2 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.63/76.83  (step t175.t1 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.63/76.83  (anchor :step t175.t2)
% 76.63/76.83  (assume t175.t2.a0 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.63/76.83  (assume t175.t2.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.63/76.83  (assume t175.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.83  (step t175.t2.t1 (cl (= (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.63/76.83  (step t175.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 (t175.t2.t1))
% 76.63/76.83  (step t175.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t175.t2.a2))
% 76.63/76.83  (step t175.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t175.t2.t3))
% 76.63/76.83  (step t175.t2.t5 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t175.t2.t4))
% 76.63/76.83  (step t175.t2.t6 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t175.t2.a1))
% 76.63/76.83  (step t175.t2.t7 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t175.t2.t5 t175.t2.t6))
% 76.63/76.83  (step t175.t2.t8 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.63/76.83  (step t175.t2.t9 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t175.t2.t7 t175.t2.t8))
% 76.63/76.83  (step t175.t2.t10 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t175.t2.t9))
% 76.63/76.83  (step t175.t2.t11 (cl (= (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.63/76.83  (step t175.t2.t12 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t175.t2.t11))
% 76.63/76.83  (step t175.t2.t13 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t175.t2.t12 t175.t2.a0))
% 76.63/76.83  (step t175.t2.t14 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t175.t2.t10 t175.t2.t13))
% 76.63/76.83  (step t175.t2.t15 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t175.t2.t2 t175.t2.t14))
% 76.63/76.83  (step t175.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 (t175.t2.a0 t175.t2.a1 t175.t2.a2))
% 76.63/76.83  (step t175.t3 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.63/76.83  (step t175.t4 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.63/76.83  (step t175.t5 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.83  (step t175.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 (t175.t2 t175.t3 t175.t4 t175.t5))
% 76.63/76.83  (step t175.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 (t175.t6))
% 76.63/76.83  (step t175.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 (t175.t7))
% 76.63/76.83  (step t175.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 (t175.t1 t175.t8))
% 76.63/76.83  (step t175.t10 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.63/76.83  (step t175.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 (t175.t9 t175.t10))
% 76.63/76.83  (step t175.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 (t175.t11))
% 76.63/76.83  (step t175.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 (t175.t12))
% 76.63/76.83  (step t175.t14 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.63/76.83  (step t175.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 (t175.t14 t175.a2 t175.a1 t175.a0))
% 76.63/76.83  (step t175.t16 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t175.t13 t175.t15))
% 76.63/76.83  (step t175 (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 (t175.a0 t175.a1 t175.a2))
% 76.63/76.83  (step t176 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.83  (step t177 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.63/76.83  (step t178 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.63/76.83  (step t179 (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 (t175 t176 t177 t178))
% 76.63/76.83  (step t180 (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 (t179))
% 76.63/76.83  (step t181 (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 (t180))
% 76.63/76.83  (step t182 (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 (t174 t181))
% 76.63/76.83  (step t183 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.63/76.83  (step t184 (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 (t182 t183))
% 76.63/76.83  (step t185 (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 (t184))
% 76.63/76.83  (step t186 (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 (t185))
% 76.63/76.83  (step t187 (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 (t173 t186))
% 76.63/76.83  (step t188 (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 (t187))
% 76.63/76.83  (step t189 (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)
% 76.63/76.83  (step t190 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 76.63/76.83  (step t191 (cl (= (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule refl)
% 76.63/76.83  (step t192 (cl (= (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule refl)
% 76.63/76.83  (step t193 (cl (= (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true) (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.63/76.83  (step t194 (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 (t193))
% 76.63/76.83  (step t195 (cl (= (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))))) :rule all_simplify)
% 76.63/76.83  (step t196 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule refl)
% 76.63/76.83  (step t197 (cl (= (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.63/76.83  (step t198 (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 (t196 t197))
% 76.63/76.83  (step t199 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) true)) :rule all_simplify)
% 76.63/76.83  (step t200 (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 (t198 t199))
% 76.63/76.83  (step t201 (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 (t195 t200))
% 76.63/76.83  (step t202 (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 (t194 t201))
% 76.63/76.83  (step t203 (cl (= (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.63/76.83  (step t204 (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 (t190 t191 t192 t202 t203))
% 76.63/76.83  (step t205 (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)
% 76.63/76.83  (step t206 (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)
% 76.63/76.84  (anchor :step t207)
% 76.63/76.84  (assume t207.a0 (= tptp.nil tptp.sk3))
% 76.63/76.84  (assume t207.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.84  (assume t207.a2 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.63/76.84  (assume t207.a3 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.63/76.84  (step t207.t1 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t207.t2)
% 76.63/76.84  (assume t207.t2.a0 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.63/76.84  (assume t207.t2.a1 (= tptp.nil tptp.sk3))
% 76.63/76.84  (assume t207.t2.a2 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.63/76.84  (assume t207.t2.a3 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.84  (step t207.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)
% 76.63/76.84  (step t207.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 (t207.t2.t1))
% 76.63/76.84  (step t207.t2.t3 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t207.t2.a1))
% 76.63/76.84  (step t207.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t207.t2.a3))
% 76.63/76.84  (step t207.t2.t5 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t207.t2.t4))
% 76.63/76.84  (step t207.t2.t6 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t207.t2.t5))
% 76.63/76.84  (step t207.t2.t7 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t207.t2.a2))
% 76.63/76.84  (step t207.t2.t8 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t207.t2.t6 t207.t2.t7))
% 76.63/76.84  (step t207.t2.t9 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.63/76.84  (step t207.t2.t10 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t207.t2.t8 t207.t2.t9))
% 76.63/76.84  (step t207.t2.t11 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t207.t2.t3 t207.t2.t10))
% 76.63/76.84  (step t207.t2.t12 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.63/76.84  (step t207.t2.t13 (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 (t207.t2.t12))
% 76.63/76.84  (step t207.t2.t14 (cl (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule not_not)
% 76.63/76.84  (step t207.t2.t15 (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 (t207.t2.t13 t207.t2.t14))
% 76.63/76.84  (step t207.t2.t16 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t207.t2.t15 t207.t2.a0))
% 76.63/76.84  (step t207.t2.t17 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t207.t2.t11 t207.t2.t16))
% 76.63/76.84  (step t207.t2.t18 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t207.t2.t2 t207.t2.t17))
% 76.63/76.84  (step t207.t2 (cl (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.nil tptp.sk3)) (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 (t207.t2.a0 t207.t2.a1 t207.t2.a2 t207.t2.a3))
% 76.63/76.84  (step t207.t3 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.63/76.84  (step t207.t4 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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)
% 76.63/76.84  (step t207.t5 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.63/76.84  (step t207.t6 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.84  (step t207.t7 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t2 t207.t3 t207.t4 t207.t5 t207.t6))
% 76.63/76.84  (step t207.t8 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t7))
% 76.63/76.84  (step t207.t9 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t8))
% 76.63/76.84  (step t207.t10 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t1 t207.t9))
% 76.63/76.84  (step t207.t11 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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)
% 76.63/76.84  (step t207.t12 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t10 t207.t11))
% 76.63/76.84  (step t207.t13 (cl (=> (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t12))
% 76.63/76.84  (step t207.t14 (cl (not (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t13))
% 76.63/76.84  (step t207.t15 (cl (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.nil tptp.sk3)) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.63/76.84  (step t207.t16 (cl (and (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= tptp.nil tptp.sk3) (= (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 (t207.t15 t207.a3 t207.a0 t207.a2 t207.a1))
% 76.63/76.84  (step t207.t17 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t207.t14 t207.t16))
% 76.63/76.84  (step t207 (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 (t207.a0 t207.a1 t207.a2 t207.a3))
% 76.63/76.84  (step t208 (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)
% 76.63/76.84  (step t209 (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)
% 76.63/76.84  (step t210 (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)
% 76.63/76.84  (step t211 (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)
% 76.63/76.84  (step t212 (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 (t207 t208 t209 t210 t211))
% 76.63/76.84  (step t213 (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 (t212))
% 76.63/76.84  (step t214 (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 (t213))
% 76.63/76.84  (step t215 (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 (t206 t214))
% 76.63/76.84  (step t216 (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)
% 76.63/76.84  (step t217 (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 (t215 t216))
% 76.63/76.84  (step t218 (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 (t217))
% 76.63/76.84  (step t219 (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 (t218))
% 76.63/76.84  (step t220 (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 (t205 t219))
% 76.63/76.84  (step t221 (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)
% 76.63/76.84  (step t222 (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)
% 76.63/76.84  (step t223 (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)
% 76.63/76.84  (step t224 (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)
% 76.63/76.84  (step t225 (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)
% 76.63/76.84  (step t226 (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 (t220 t221 t222 t223 t224 t225))
% 76.63/76.84  (step t227 (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 (t226))
% 76.63/76.84  (step t228 (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 (t189 t204 t227))
% 76.63/76.84  (step t229 (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 (t228))
% 76.63/76.84  (step t230 (cl (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 76.63/76.84  (step t231 (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 (t230))
% 76.63/76.84  (step t232 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t233)
% 76.63/76.84  (assume t233.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.63/76.84  (step t233.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.63/76.84  (step t233.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule or :premises (t233.t1))
% 76.63/76.84  (step t233.t3 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t233.t2 t233.a0))
% 76.63/76.84  (step t233 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t233.a0))
% 76.63/76.84  (step t234 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t232 t233))
% 76.63/76.84  (step t235 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 76.63/76.84  (step t236 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t234 t235))
% 76.63/76.84  (step t237 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t236))
% 76.63/76.84  (step t238 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t237))
% 76.63/76.84  (step t239 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 76.63/76.84  (anchor :step t240 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.63/76.84  (step t240.t1 (cl (= U U)) :rule refl)
% 76.63/76.84  (step t240.t2 (cl (= V V)) :rule refl)
% 76.63/76.84  (step t240.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 76.63/76.84  (step t240.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t240.t3))
% 76.63/76.84  (step t240.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.63/76.84  (step t240.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.63/76.84  (step t240.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t240.t4 t240.t5 t240.t6))
% 76.63/76.84  (step t240 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 76.63/76.84  (step t241 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t239 t240 a97))
% 76.63/76.84  (step t242 (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 (t238 t241))
% 76.63/76.84  (step t243 (cl (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t231 a7 t74 t242))
% 76.63/76.84  (step t244 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.63/76.84  (step t245 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t246)
% 76.63/76.84  (assume t246.a0 (tptp.ssList tptp.sk4))
% 76.63/76.84  (assume t246.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.84  (assume t246.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.63/76.84  (step t246.t1 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t246.t2)
% 76.63/76.84  (assume t246.t2.a0 (tptp.ssList tptp.sk4))
% 76.63/76.84  (assume t246.t2.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.63/76.84  (assume t246.t2.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.63/76.84  (step t246.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule equiv_simplify)
% 76.63/76.84  (step t246.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true)) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule equiv1 :premises (t246.t2.t1))
% 76.63/76.84  (step t246.t2.t3 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t246.t2.a2))
% 76.63/76.84  (step t246.t2.t4 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t246.t2.t3))
% 76.63/76.84  (step t246.t2.t5 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t246.t2.t4))
% 76.63/76.84  (step t246.t2.t6 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t246.t2.a1))
% 76.63/76.84  (step t246.t2.t7 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t246.t2.t6))
% 76.63/76.84  (step t246.t2.t8 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t246.t2.t7))
% 76.63/76.84  (step t246.t2.t9 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule trans :premises (t246.t2.t5 t246.t2.t8))
% 76.63/76.84  (step t246.t2.t10 (cl (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (tptp.ssList tptp.sk4))) :rule cong :premises (t246.t2.t9))
% 76.63/76.84  (step t246.t2.t11 (cl (= (= (tptp.ssList tptp.sk4) true) (tptp.ssList tptp.sk4))) :rule equiv_simplify)
% 76.63/76.84  (step t246.t2.t12 (cl (= (tptp.ssList tptp.sk4) true) (not (tptp.ssList tptp.sk4))) :rule equiv2 :premises (t246.t2.t11))
% 76.63/76.84  (step t246.t2.t13 (cl (= (tptp.ssList tptp.sk4) true)) :rule resolution :premises (t246.t2.t12 t246.t2.a0))
% 76.63/76.84  (step t246.t2.t14 (cl (= (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) true)) :rule trans :premises (t246.t2.t10 t246.t2.t13))
% 76.63/76.84  (step t246.t2.t15 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t246.t2.t2 t246.t2.t14))
% 76.63/76.84  (step t246.t2 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule subproof :discharge (t246.t2.a0 t246.t2.a1 t246.t2.a2))
% 76.63/76.84  (step t246.t3 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList tptp.sk4)) :rule and_pos)
% 76.63/76.84  (step t246.t4 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.84  (step t246.t5 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.84  (step t246.t6 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t246.t2 t246.t3 t246.t4 t246.t5))
% 76.63/76.84  (step t246.t7 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule reordering :premises (t246.t6))
% 76.63/76.84  (step t246.t8 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t246.t7))
% 76.63/76.84  (step t246.t9 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t246.t1 t246.t8))
% 76.63/76.84  (step t246.t10 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg2)
% 76.63/76.84  (step t246.t11 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t246.t9 t246.t10))
% 76.63/76.84  (step t246.t12 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t246.t11))
% 76.63/76.84  (step t246.t13 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule implies :premises (t246.t12))
% 76.63/76.84  (step t246.t14 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.63/76.84  (step t246.t15 (cl (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t246.t14 t246.a0 t246.a1 t246.a2))
% 76.63/76.84  (step t246.t16 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t246.t13 t246.t15))
% 76.63/76.84  (step t246 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule subproof :discharge (t246.a0 t246.a1 t246.a2))
% 76.63/76.84  (step t247 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList tptp.sk4)) :rule and_pos)
% 76.63/76.84  (step t248 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.84  (step t249 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.63/76.84  (step t250 (cl (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t246 t247 t248 t249))
% 76.63/76.84  (step t251 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule reordering :premises (t250))
% 76.63/76.84  (step t252 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t251))
% 76.63/76.84  (step t253 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t245 t252))
% 76.63/76.84  (step t254 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule implies_neg2)
% 76.63/76.84  (step t255 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t253 t254))
% 76.63/76.84  (step t256 (cl (=> (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t255))
% 76.63/76.84  (step t257 (cl (not (and (tptp.ssList tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule implies :premises (t256))
% 76.63/76.84  (step t258 (cl (not (tptp.ssList tptp.sk4)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t244 t257))
% 76.63/76.84  (step t259 (cl (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (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)))) (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 resolution :premises (t172 t188 t170 t113 t229 t243 t113 t47 t258 t99 a188))
% 76.63/76.84  (step t260 (cl (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule contraction :premises (t259))
% 76.63/76.84  (step t261 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t260))
% 76.63/76.84  (step t262 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.63/76.84  (step t263 (cl (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t262))
% 76.63/76.84  (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)
% 76.63/76.84  (step t265 (cl (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 reordering :premises (t264))
% 76.63/76.84  (step t266 (cl (not (= (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4)))) (not (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4))) :rule equiv_pos2)
% 76.63/76.84  (step t267 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 76.63/76.84  (step t268 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 76.63/76.84  (step t269 (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)
% 76.63/76.84  (step t270 (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 (t269))
% 76.63/76.84  (step t271 (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)
% 76.63/76.84  (step t272 (cl (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4))) :rule refl)
% 76.63/76.84  (step t273 (cl (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule all_simplify)
% 76.63/76.84  (step t274 (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 (t272 t273))
% 76.63/76.84  (step t275 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4)) true)) :rule all_simplify)
% 76.63/76.84  (step t276 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) true)) :rule trans :premises (t274 t275))
% 76.63/76.84  (step t277 (cl (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true)) :rule trans :premises (t271 t276))
% 76.63/76.84  (step t278 (cl (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t270 t277))
% 76.63/76.84  (step t279 (cl (= (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4)))) :rule cong :premises (t267 t268 t278))
% 76.63/76.84  (step t280 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t281)
% 76.63/76.84  (assume t281.a0 (tptp.neq tptp.sk4 tptp.nil))
% 76.63/76.84  (assume t281.a1 (= tptp.nil tptp.sk4))
% 76.63/76.84  (assume t281.a2 (not (tptp.neq tptp.sk4 tptp.sk4)))
% 76.63/76.84  (step t281.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 76.63/76.84  (step t281.t2 (cl (= (= false true) false)) :rule all_simplify)
% 76.63/76.84  (step t281.t3 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) false) (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv_simplify)
% 76.63/76.84  (step t281.t4 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv2 :premises (t281.t3))
% 76.63/76.84  (step t281.t5 (cl (not (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (tptp.neq tptp.sk4 tptp.sk4)) :rule not_not)
% 76.63/76.84  (step t281.t6 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false) (tptp.neq tptp.sk4 tptp.sk4)) :rule resolution :premises (t281.t4 t281.t5))
% 76.63/76.84  (step t281.t7 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false)) :rule resolution :premises (t281.t6 t281.a2))
% 76.63/76.84  (step t281.t8 (cl (= false (tptp.neq tptp.sk4 tptp.sk4))) :rule symm :premises (t281.t7))
% 76.63/76.84  (step t281.t9 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 76.63/76.84  (step t281.t10 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t281.a1))
% 76.63/76.84  (step t281.t11 (cl (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t281.t9 t281.t10))
% 76.63/76.84  (step t281.t12 (cl (= (= (tptp.neq tptp.sk4 tptp.nil) true) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_simplify)
% 76.63/76.84  (step t281.t13 (cl (= (tptp.neq tptp.sk4 tptp.nil) true) (not (tptp.neq tptp.sk4 tptp.nil))) :rule equiv2 :premises (t281.t12))
% 76.63/76.84  (step t281.t14 (cl (= (tptp.neq tptp.sk4 tptp.nil) true)) :rule resolution :premises (t281.t13 t281.a0))
% 76.63/76.84  (step t281.t15 (cl (= false true)) :rule trans :premises (t281.t8 t281.t11 t281.t14))
% 76.63/76.84  (step t281.t16 (cl false) :rule resolution :premises (t281.t1 t281.t2 t281.t15))
% 76.63/76.84  (step t281 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) false) :rule subproof :discharge (t281.a0 t281.a1 t281.a2))
% 76.63/76.84  (step t282 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 76.63/76.84  (step t283 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.63/76.84  (step t284 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.sk4))) :rule and_pos)
% 76.63/76.84  (step t285 (cl false (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t281 t282 t283 t284))
% 76.63/76.84  (step t286 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) false) :rule reordering :premises (t285))
% 76.63/76.84  (step t287 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) false) :rule contraction :premises (t286))
% 76.63/76.84  (step t288 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) false) :rule resolution :premises (t280 t287))
% 76.63/76.84  (step t289 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (not false)) :rule implies_neg2)
% 76.63/76.84  (step t290 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false)) :rule resolution :premises (t288 t289))
% 76.63/76.84  (step t291 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false)) :rule contraction :premises (t290))
% 76.63/76.84  (step t292 (cl (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))))) :rule implies_simplify)
% 76.63/76.84  (step t293 (cl (not (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false)) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule equiv1 :premises (t292))
% 76.63/76.84  (step t294 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t291 t293))
% 76.63/76.84  (step t295 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule not_and :premises (t294))
% 76.63/76.84  (step t296 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (not (tptp.neq tptp.sk4 tptp.nil)))) :rule or_neg)
% 76.63/76.84  (step t297 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 76.63/76.84  (step t298 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule or_neg)
% 76.63/76.84  (step t299 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t295 t296 t297 t298))
% 76.63/76.84  (step t300 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule contraction :premises (t299))
% 76.63/76.84  (step t301 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t266 t279 t300))
% 76.63/76.84  (step t302 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4)) :rule or :premises (t301))
% 76.63/76.84  (step t303 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.sk4 tptp.sk4) (not (= tptp.nil tptp.sk4))) :rule reordering :premises (t302))
% 76.63/76.84  (step t304 (cl (not (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) (not (tptp.neq tptp.sk2 tptp.nil)) (tptp.neq tptp.sk4 tptp.nil)) :rule equiv_pos2)
% 76.63/76.84  (step t305 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t30))
% 76.63/76.84  (step t306 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.63/76.84  (step t307 (cl (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t305 t306))
% 76.63/76.84  (step t308 (cl (tptp.neq tptp.sk4 tptp.nil)) :rule resolution :premises (t304 t307 a191))
% 76.63/76.84  (step t309 (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)
% 76.63/76.84  (step t310 (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 (t309))
% 76.63/76.84  (step t311 (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 $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t312)
% 76.63/76.84  (assume t312.a0 (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))
% 76.63/76.84  (step t312.t1 (cl (or (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule forall_inst :args ((:= V tptp.sk4)))
% 76.63/76.84  (step t312.t2 (cl (not (forall ((V $$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 (t312.t1))
% 76.63/76.84  (step t312.t3 (cl (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t312.t2 t312.a0))
% 76.63/76.84  (step t312 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule subproof :discharge (t312.a0))
% 76.63/76.84  (step t313 (cl (=> (forall ((V $$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 (t311 t312))
% 76.63/76.84  (step t314 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule implies_neg2)
% 76.63/76.84  (step t315 (cl (=> (forall ((V $$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 $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule resolution :premises (t313 t314))
% 76.63/76.84  (step t316 (cl (=> (forall ((V $$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 (t315))
% 76.63/76.84  (step t317 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule implies :premises (t316))
% 76.63/76.84  (step t318 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 76.63/76.84  (step t319 (cl (= (forall ((U $$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)
% 76.63/76.84  (anchor :step t320 :args ((V $$unsorted) (:= V V)))
% 76.63/76.84  (step t320.t1 (cl (= V V)) :rule refl)
% 76.63/76.84  (step t320.t2 (cl (= (= V V) true)) :rule all_simplify)
% 76.63/76.84  (step t320.t3 (cl (= (not (= V V)) (not true))) :rule cong :premises (t320.t2))
% 76.63/76.84  (step t320.t4 (cl (= (not true) false)) :rule all_simplify)
% 76.63/76.84  (step t320.t5 (cl (= (not (= V V)) false)) :rule trans :premises (t320.t3 t320.t4))
% 76.63/76.84  (step t320.t6 (cl (= (not (tptp.neq V V)) (not (tptp.neq V V)))) :rule refl)
% 76.63/76.84  (step t320.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.63/76.84  (step t320.t8 (cl (= (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or false (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))))) :rule cong :premises (t320.t5 t320.t6 t320.t7 t320.t7))
% 76.63/76.84  (step t320.t9 (cl (= (or false (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule all_simplify)
% 76.63/76.84  (step t320.t10 (cl (= (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule trans :premises (t320.t8 t320.t9))
% 76.63/76.84  (step t320 (cl (= (forall ((V $$unsorted)) (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) :rule bind)
% 76.63/76.84  (step t321 (cl (= (forall ((U $$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 (t319 t320))
% 76.63/76.84  (step t322 (cl (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule resolution :premises (t318 t321 a114))
% 76.63/76.84  (step t323 (cl (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t317 t322))
% 76.63/76.84  (step t324 (cl (not (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t310 a188 t323))
% 76.63/76.84  (step t325 (cl (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t303 t308 t324))
% 76.63/76.84  (step t326 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t327)
% 76.63/76.84  (assume t327.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.63/76.84  (step t327.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.63/76.84  (step t327.t2 (cl (not (forall ((U $$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 (t327.t1))
% 76.63/76.84  (step t327.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t327.t2 t327.a0))
% 76.63/76.84  (step t327 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t327.a0))
% 76.63/76.84  (step t328 (cl (=> (forall ((U $$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 (t326 t327))
% 76.63/76.84  (step t329 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.63/76.84  (step t330 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t328 t329))
% 76.63/76.84  (step t331 (cl (=> (forall ((U $$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 (t330))
% 76.63/76.84  (step t332 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies :premises (t331))
% 76.63/76.84  (step t333 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t332 a75))
% 76.63/76.84  (step t334 (cl (tptp.ssItem (tptp.hd tptp.sk4))) :rule resolution :premises (t265 a188 t325 t333))
% 76.63/76.84  (step t335 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t336)
% 76.63/76.84  (assume t336.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 76.63/76.84  (step t336.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4))))
% 76.63/76.84  (step t336.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t336.t1))
% 76.63/76.84  (step t336.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t336.t2 t336.a0))
% 76.63/76.84  (step t336 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t336.a0))
% 76.63/76.84  (step t337 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t335 t336))
% 76.63/76.84  (step t338 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.63/76.84  (step t339 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t337 t338))
% 76.63/76.84  (step t340 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t339))
% 76.63/76.84  (step t341 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t340))
% 76.63/76.84  (step t342 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t341 a65))
% 76.63/76.84  (step t343 (cl (tptp.strictorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t263 t334 t342))
% 76.63/76.84  (step t344 (cl (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)) :rule or_pos)
% 76.63/76.84  (step t345 (cl (not (tptp.ssList tptp.sk4)) (= tptp.nil tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t344))
% 76.63/76.84  (step t346 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 76.63/76.84  (anchor :step t347)
% 76.63/76.84  (assume t347.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 76.63/76.84  (step t347.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.63/76.84  (step t347.t2 (cl (not (forall ((U $$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 (t347.t1))
% 76.63/76.84  (step t347.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 (t347.t2 t347.a0))
% 76.63/76.84  (step t347 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t347.a0))
% 76.63/76.84  (step t348 (cl (=> (forall ((U $$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 (t346 t347))
% 76.63/76.84  (step t349 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.63/76.84  (step t350 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t348 t349))
% 76.63/76.84  (step t351 (cl (=> (forall ((U $$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 (t350))
% 76.63/76.84  (step t352 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule implies :premises (t351))
% 76.63/76.84  (step t353 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 76.63/76.84  (anchor :step t354 :args ((U $$unsorted) (:= U U)))
% 76.63/76.84  (step t354.t1 (cl (= U U)) :rule refl)
% 76.63/76.84  (step t354.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.63/76.84  (step t354.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 76.63/76.84  (step t354.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 76.63/76.84  (step t354.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 (t354.t2 t354.t3 t354.t4))
% 76.63/76.84  (step t354 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 76.63/76.84  (step t355 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t353 t354 a108))
% 76.63/76.84  (step t356 (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 (t352 t355))
% 76.63/76.84  (step t357 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t345 a188 t325 t356))
% 76.63/76.84  (step t358 (cl) :rule resolution :premises (t261 t343 t357))
% 76.63/76.84  
% 76.63/76.84  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.zGBUlpqybt/cvc5---1.0.5_28711.smt2
% 76.63/76.84  % cvc5---1.0.5 exiting
% 76.63/76.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------