%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC111-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:00:26 EDT 2024

% Result   : Unsatisfiable 76.65s 76.84s
% Output   : Proof 76.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem    : SWC111-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun May 26 16:20:09 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.22/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.68  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.51/15.71  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.55/20.73  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.54/25.75  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.62/30.79  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.60/35.82  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.64/40.85  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.70/45.88  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.73/50.91  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.78/55.96  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.76/60.99  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.83/66.03  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.86/76.07  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.65/76.84  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.2WDRDHjVgP/cvc5---1.0.5_23773.smt2
% 76.65/76.84  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.2WDRDHjVgP/cvc5---1.0.5_23773.smt2
% 76.69/76.88  (assume a0 (tptp.equalelemsP tptp.nil))
% 76.69/76.88  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 76.69/76.88  (assume a2 (tptp.strictorderedP tptp.nil))
% 76.69/76.88  (assume a3 (tptp.totalorderedP tptp.nil))
% 76.69/76.88  (assume a4 (tptp.strictorderP tptp.nil))
% 76.69/76.88  (assume a5 (tptp.totalorderP tptp.nil))
% 76.69/76.88  (assume a6 (tptp.cyclefreeP tptp.nil))
% 76.69/76.88  (assume a7 (tptp.ssList tptp.nil))
% 76.69/76.88  (assume a8 (tptp.ssItem tptp.skac3))
% 76.69/76.88  (assume a9 (tptp.ssItem tptp.skac2))
% 76.69/76.88  (assume a10 (not (tptp.singletonP tptp.nil)))
% 76.69/76.88  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.69/76.88  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.69/76.88  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 76.69/76.88  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 76.69/76.88  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 76.69/76.88  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 76.69/76.88  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 76.69/76.88  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 76.69/76.88  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 76.69/76.88  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 76.69/76.88  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 76.69/76.88  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 76.69/76.88  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 76.69/76.88  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 76.69/76.88  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 76.69/76.88  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 76.69/76.88  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 76.69/76.88  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 76.69/76.88  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 76.69/76.88  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 76.69/76.88  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 76.69/76.88  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 76.69/76.88  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 76.69/76.88  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 76.69/76.88  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 76.69/76.88  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 76.69/76.88  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 76.69/76.88  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 76.69/76.88  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 76.69/76.88  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 76.69/76.88  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 76.69/76.88  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 76.69/76.88  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 76.69/76.88  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 76.69/76.88  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 76.69/76.88  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 76.69/76.88  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 76.69/76.88  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 76.69/76.88  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 76.69/76.88  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 76.69/76.88  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 76.69/76.88  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 76.69/76.88  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 76.69/76.88  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 76.69/76.88  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.69/76.88  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 76.69/76.88  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 76.69/76.88  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 76.69/76.88  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 76.69/76.88  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 76.69/76.88  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 76.69/76.88  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 76.69/76.88  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 76.69/76.88  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 76.69/76.88  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 76.69/76.88  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 76.69/76.88  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.69/76.88  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.69/76.88  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 76.69/76.88  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.69/76.88  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 76.69/76.88  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.69/76.88  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 76.69/76.88  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.69/76.88  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 76.69/76.88  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.69/76.88  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 76.69/76.88  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.69/76.88  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 76.69/76.88  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 76.69/76.88  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 76.69/76.88  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 76.69/76.88  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 76.69/76.88  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.69/76.88  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 76.69/76.88  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.69/76.88  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 76.69/76.88  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 76.69/76.88  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 76.69/76.88  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.69/76.88  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.69/76.88  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 76.69/76.88  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 76.69/76.88  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 76.69/76.88  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 76.69/76.88  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 76.69/76.88  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.69/76.88  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.69/76.88  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 76.69/76.88  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 76.69/76.88  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 76.69/76.88  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 76.69/76.88  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 76.69/76.88  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 76.69/76.88  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.69/76.88  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 76.69/76.88  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.69/76.88  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.69/76.88  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 76.69/76.88  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 76.69/76.88  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 76.69/76.88  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 76.69/76.88  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.69/76.88  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.69/76.88  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.69/76.88  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 76.69/76.88  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 76.69/76.88  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 76.69/76.88  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 76.69/76.88  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 76.69/76.88  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 76.69/76.88  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 76.69/76.88  (assume a135 (forall ((U $$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))))
% 76.69/76.88  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 76.69/76.88  (assume a137 (forall ((U $$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))))
% 76.69/76.88  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 76.69/76.88  (assume a139 (forall ((U $$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))))
% 76.69/76.88  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 76.69/76.88  (assume a141 (forall ((U $$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))))
% 76.69/76.88  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 76.69/76.88  (assume a143 (forall ((U $$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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 76.69/76.88  (assume a146 (forall ((U $$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))))
% 76.69/76.88  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 76.69/76.88  (assume a148 (forall ((U $$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))))))
% 76.69/76.88  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 76.69/76.88  (assume a150 (forall ((U $$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))))
% 76.69/76.88  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 76.69/76.88  (assume a152 (forall ((U $$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))))
% 76.69/76.88  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 76.69/76.88  (assume a154 (forall ((U $$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))))
% 76.69/76.88  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 76.69/76.88  (assume a156 (forall ((U $$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)))))
% 76.69/76.88  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 76.69/76.88  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.69/76.88  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 76.69/76.88  (assume a160 (forall ((U $$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))))
% 76.69/76.88  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 76.69/76.88  (assume a162 (forall ((U $$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))))
% 76.69/76.88  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 76.69/76.88  (assume a164 (forall ((U $$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))))
% 76.69/76.88  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 76.69/76.88  (assume a166 (forall ((U $$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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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)))))
% 76.69/76.88  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 76.69/76.88  (assume a179 (forall ((U $$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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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))))
% 76.69/76.88  (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)))))
% 76.69/76.88  (assume a185 (tptp.ssList tptp.sk1))
% 76.69/76.88  (assume a186 (tptp.ssList tptp.sk2))
% 76.69/76.88  (assume a187 (tptp.ssList tptp.sk3))
% 76.69/76.88  (assume a188 (tptp.ssList tptp.sk4))
% 76.69/76.88  (assume a189 (= tptp.sk2 tptp.sk4))
% 76.69/76.88  (assume a190 (= tptp.sk1 tptp.sk3))
% 76.69/76.88  (assume a191 (tptp.segmentP tptp.sk4 tptp.sk3))
% 76.69/76.88  (assume a192 (tptp.totalorderedP tptp.sk3))
% 76.69/76.88  (assume a193 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))))
% 76.69/76.88  (assume a194 (or (= tptp.nil tptp.sk2) (tptp.neq tptp.sk2 tptp.nil)))
% 76.69/76.88  (assume a195 (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))))
% 76.69/76.88  (assume a196 (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)))
% 76.69/76.88  (assume a197 (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))))
% 76.69/76.88  (step t1 (cl (not (= (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.69/76.88  (step t2 (cl (= (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule refl)
% 76.69/76.88  (step t3 (cl (= (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule refl)
% 76.69/76.88  (step t4 (cl (= (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule refl)
% 76.69/76.88  (step t5 (cl (= (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule refl)
% 76.69/76.88  (step t6 (cl (= (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true) (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.69/76.88  (step t7 (cl (not (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true)) (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv1 :premises (t6))
% 76.69/76.88  (step t8 (cl (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule all_simplify)
% 76.69/76.88  (step t9 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 76.69/76.88  (step t10 (cl (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.69/76.88  (step t11 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t9 t10))
% 76.69/76.88  (step t12 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true)) :rule all_simplify)
% 76.69/76.88  (step t13 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) true)) :rule trans :premises (t11 t12))
% 76.69/76.88  (step t14 (cl (= (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) true)) :rule trans :premises (t8 t13))
% 76.69/76.88  (step t15 (cl (= (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t7 t14))
% 76.69/76.88  (step t16 (cl (= (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.69/76.88  (step t17 (cl (= (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t2 t3 t4 t5 t15 t16))
% 76.69/76.88  (step t18 (cl (not (= (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.69/76.88  (step t19 (cl (= (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.69/76.88  (step t20 (cl (= (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv_simplify)
% 76.69/76.88  (step t21 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule equiv2 :premises (t20))
% 76.69/76.88  (step t22 (cl (not (not (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule not_not)
% 76.69/76.88  (step t23 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t21 t22))
% 76.69/76.88  (step t24 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t25)
% 76.69/76.88  (assume t25.a0 (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 76.69/76.88  (assume t25.a1 (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (assume t25.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (assume t25.a3 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.69/76.88  (assume t25.a4 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (assume t25.a5 (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (step t25.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 76.69/76.88  (step t25.t2 (cl (= (= false true) false)) :rule all_simplify)
% 76.69/76.88  (step t25.t3 (cl (= (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.69/76.88  (step t25.t4 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t25.t3))
% 76.69/76.88  (step t25.t5 (cl (not (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule not_not)
% 76.69/76.88  (step t25.t6 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t25.t4 t25.t5))
% 76.69/76.88  (step t25.t7 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t25.t6 t25.a5))
% 76.69/76.88  (step t25.t8 (cl (= false (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule symm :premises (t25.t7))
% 76.69/76.88  (step t25.t9 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t25.a4))
% 76.69/76.88  (step t25.t10 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t25.t9))
% 76.69/76.88  (step t25.t11 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t25.a3))
% 76.69/76.88  (step t25.t12 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t25.t11))
% 76.69/76.88  (step t25.t13 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t25.a2))
% 76.69/76.88  (step t25.t14 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.hd tptp.sk4))) :rule cong :premises (t25.t13))
% 76.69/76.88  (step t25.t15 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd tptp.sk4))) :rule trans :premises (t25.t12 t25.t14))
% 76.69/76.88  (step t25.t16 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t25.t17 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule cong :premises (t25.t15 t25.t16))
% 76.69/76.88  (step t25.t18 (cl (= (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule symm :premises (t25.a1))
% 76.69/76.88  (step t25.t19 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule symm :premises (t25.t18))
% 76.69/76.88  (step t25.t20 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule trans :premises (t25.t17 t25.t19))
% 76.69/76.88  (step t25.t21 (cl (= (tptp.skaf82 tptp.sk4) (tptp.skaf82 tptp.sk4))) :rule refl)
% 76.69/76.88  (step t25.t22 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)))) :rule cong :premises (t25.t20 t25.t21))
% 76.69/76.88  (step t25.t23 (cl (= tptp.sk4 (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)))) :rule trans :premises (t25.a2 t25.t10 t25.t22))
% 76.69/76.88  (step t25.t24 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 76.69/76.88  (step t25.t25 (cl (= (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule cong :premises (t25.t23 t25.t24))
% 76.69/76.88  (step t25.t26 (cl (= (= (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.69/76.88  (step t25.t27 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t25.t26))
% 76.69/76.88  (step t25.t28 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t25.t27 t25.a0))
% 76.69/76.88  (step t25.t29 (cl (= false true)) :rule trans :premises (t25.t8 t25.t25 t25.t28))
% 76.69/76.88  (step t25.t30 (cl false) :rule resolution :premises (t25.t1 t25.t2 t25.t29))
% 76.69/76.88  (step t25 (cl (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) :rule subproof :discharge (t25.a0 t25.a1 t25.a2 t25.a3 t25.a4 t25.a5))
% 76.69/76.88  (step t26 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 76.69/76.88  (step t27 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.69/76.88  (step t28 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t29 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.69/76.88  (step t30 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t31 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.69/76.88  (step t32 (cl false (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t25 t26 t27 t28 t29 t30 t31))
% 76.69/76.88  (step t33 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule reordering :premises (t32))
% 76.69/76.88  (step t34 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) false) :rule contraction :premises (t33))
% 76.69/76.88  (step t35 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) false) :rule resolution :premises (t24 t34))
% 76.69/76.88  (step t36 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not false)) :rule implies_neg2)
% 76.69/76.88  (step t37 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t35 t36))
% 76.69/76.88  (step t38 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule contraction :premises (t37))
% 76.69/76.88  (step t39 (cl (= (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))))) :rule implies_simplify)
% 76.69/76.88  (step t40 (cl (not (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule equiv1 :premises (t39))
% 76.69/76.88  (step t41 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t38 t40))
% 76.69/76.88  (step t42 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) false)) :rule resolution :premises (t23 t41))
% 76.69/76.88  (step t43 (cl (= (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false))) :rule cong :premises (t19 t42))
% 76.69/76.88  (step t44 (cl (= (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule all_simplify)
% 76.69/76.88  (step t45 (cl (= (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule trans :premises (t43 t44))
% 76.69/76.88  (step t46 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t47)
% 76.69/76.88  (assume t47.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (assume t47.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.69/76.88  (assume t47.a2 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (assume t47.a3 (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (assume t47.a4 (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (assume t47.a5 (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 76.69/76.88  (step t47.t1 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule and_neg)
% 76.69/76.88  (step t47.t2 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t47.t1 t47.a5 t47.a3 t47.a0 t47.a1 t47.a2 t47.a4))
% 76.69/76.88  (step t47 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t47.a0 t47.a1 t47.a2 t47.a3 t47.a4 t47.a5))
% 76.69/76.88  (step t48 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t49 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.69/76.88  (step t50 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t51 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.69/76.88  (step t52 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.69/76.88  (step t53 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 76.69/76.88  (step t54 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t47 t48 t49 t50 t51 t52 t53))
% 76.69/76.88  (step t55 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t54))
% 76.69/76.88  (step t56 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t55))
% 76.69/76.88  (step t57 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t46 t56))
% 76.69/76.88  (step t58 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.69/76.88  (step t59 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t57 t58))
% 76.69/76.88  (step t60 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t59))
% 76.69/76.88  (step t61 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t18 t45 t60))
% 76.69/76.88  (step t62 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule not_and :premises (t61))
% 76.69/76.88  (step t63 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or_neg)
% 76.69/76.88  (step t64 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule or_neg)
% 76.69/76.88  (step t65 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule or_neg)
% 76.69/76.88  (step t66 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule or_neg)
% 76.69/76.88  (step t67 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule or_neg)
% 76.69/76.88  (step t68 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or_neg)
% 76.69/76.88  (step t69 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t62 t63 t64 t65 t66 t67 t68))
% 76.69/76.88  (step t70 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t69))
% 76.69/76.88  (step t71 (cl (or (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t1 t17 t70))
% 76.69/76.88  (step t72 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t71))
% 76.69/76.88  (step t73 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t72))
% 76.69/76.88  (step t74 (cl (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.69/76.88  (step t75 (cl (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t74))
% 76.69/76.88  (step t76 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t75))
% 76.69/76.88  (step t77 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t78)
% 76.69/76.88  (assume t78.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 76.69/76.88  (step t78.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.69/76.88  (step t78.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule or :premises (t78.t1))
% 76.69/76.88  (step t78.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t78.t2 t78.a0))
% 76.69/76.88  (step t78 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule subproof :discharge (t78.a0))
% 76.69/76.88  (step t79 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t77 t78))
% 76.69/76.88  (step t80 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule implies_neg2)
% 76.69/76.88  (step t81 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t79 t80))
% 76.69/76.88  (step t82 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t81))
% 76.69/76.88  (step t83 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule implies :premises (t82))
% 76.69/76.88  (step t84 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t83 a12))
% 76.69/76.88  (step t85 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_neg)
% 76.69/76.88  (step t86 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t87)
% 76.69/76.88  (assume t87.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (assume t87.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.69/76.88  (assume t87.a2 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.69/76.88  (step t87.t1 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t87.t2)
% 76.69/76.88  (assume t87.t2.a0 (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))
% 76.69/76.88  (assume t87.t2.a1 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.69/76.88  (assume t87.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (step t87.t2.t1 (cl (= (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.69/76.88  (step t87.t2.t2 (cl (not (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule equiv1 :premises (t87.t2.t1))
% 76.69/76.88  (step t87.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t87.t2.a2))
% 76.69/76.88  (step t87.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t87.t2.t3))
% 76.69/76.88  (step t87.t2.t5 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t87.t2.t4))
% 76.69/76.88  (step t87.t2.t6 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t87.t2.a1))
% 76.69/76.88  (step t87.t2.t7 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t87.t2.t6))
% 76.69/76.88  (step t87.t2.t8 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t87.t2.t7))
% 76.69/76.88  (step t87.t2.t9 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t87.t2.t5 t87.t2.t8))
% 76.69/76.88  (step t87.t2.t10 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t87.t2.t11 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t87.t2.t9 t87.t2.t10))
% 76.69/76.88  (step t87.t2.t12 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t87.t2.t11))
% 76.69/76.88  (step t87.t2.t13 (cl (= (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 76.69/76.88  (step t87.t2.t14 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t87.t2.t13))
% 76.69/76.88  (step t87.t2.t15 (cl (= (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t87.t2.t14 t87.t2.a0))
% 76.69/76.88  (step t87.t2.t16 (cl (= (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule trans :premises (t87.t2.t12 t87.t2.t15))
% 76.69/76.88  (step t87.t2.t17 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t87.t2.t2 t87.t2.t16))
% 76.69/76.88  (step t87.t2 (cl (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t87.t2.a0 t87.t2.a1 t87.t2.a2))
% 76.69/76.88  (step t87.t3 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.69/76.88  (step t87.t4 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.69/76.88  (step t87.t5 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t87.t6 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t87.t2 t87.t3 t87.t4 t87.t5))
% 76.69/76.88  (step t87.t7 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t87.t6))
% 76.69/76.88  (step t87.t8 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t87.t7))
% 76.69/76.88  (step t87.t9 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t87.t1 t87.t8))
% 76.69/76.88  (step t87.t10 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.69/76.88  (step t87.t11 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t87.t9 t87.t10))
% 76.69/76.88  (step t87.t12 (cl (=> (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t87.t11))
% 76.69/76.88  (step t87.t13 (cl (not (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t87.t12))
% 76.69/76.88  (step t87.t14 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.69/76.88  (step t87.t15 (cl (and (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t87.t14 t87.a2 t87.a1 t87.a0))
% 76.69/76.88  (step t87.t16 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t87.t13 t87.t15))
% 76.69/76.88  (step t87 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule subproof :discharge (t87.a0 t87.a1 t87.a2))
% 76.69/76.88  (step t88 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t89 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.69/76.88  (step t90 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule and_pos)
% 76.69/76.88  (step t91 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t87 t88 t89 t90))
% 76.69/76.88  (step t92 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule reordering :premises (t91))
% 76.69/76.88  (step t93 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule contraction :premises (t92))
% 76.69/76.88  (step t94 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t86 t93))
% 76.69/76.88  (step t95 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg2)
% 76.69/76.88  (step t96 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t94 t95))
% 76.69/76.88  (step t97 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t96))
% 76.69/76.88  (step t98 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule implies :premises (t97))
% 76.69/76.88  (step t99 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t85 t98))
% 76.69/76.88  (step t100 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule reordering :premises (t99))
% 76.69/76.88  (step t101 (cl (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)) :rule or_pos)
% 76.69/76.88  (step t102 (cl (= tptp.nil tptp.sk4) (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t101))
% 76.69/76.88  (step t103 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.69/76.88  (step t104 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t105)
% 76.69/76.88  (assume t105.a0 (tptp.neq tptp.sk4 tptp.nil))
% 76.69/76.88  (assume t105.a1 (= tptp.nil tptp.sk4))
% 76.69/76.88  (assume t105.a2 (= tptp.nil tptp.sk3))
% 76.69/76.88  (step t105.t1 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t105.t2)
% 76.69/76.88  (assume t105.t2.a0 (tptp.neq tptp.sk4 tptp.nil))
% 76.69/76.88  (assume t105.t2.a1 (= tptp.nil tptp.sk4))
% 76.69/76.88  (assume t105.t2.a2 (= tptp.nil tptp.sk3))
% 76.69/76.88  (step t105.t2.t1 (cl (= (= (tptp.neq tptp.sk3 tptp.nil) true) (tptp.neq tptp.sk3 tptp.nil))) :rule equiv_simplify)
% 76.69/76.88  (step t105.t2.t2 (cl (not (= (tptp.neq tptp.sk3 tptp.nil) true)) (tptp.neq tptp.sk3 tptp.nil)) :rule equiv1 :premises (t105.t2.t1))
% 76.69/76.88  (step t105.t2.t3 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t105.t2.a2))
% 76.69/76.88  (step t105.t2.t4 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t105.t2.a1))
% 76.69/76.88  (step t105.t2.t5 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t105.t2.t4))
% 76.69/76.88  (step t105.t2.t6 (cl (= tptp.sk3 tptp.sk4)) :rule trans :premises (t105.t2.t3 t105.t2.t5))
% 76.69/76.88  (step t105.t2.t7 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t105.t2.t8 (cl (= (tptp.neq tptp.sk3 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t105.t2.t6 t105.t2.t7))
% 76.69/76.88  (step t105.t2.t9 (cl (= (= (tptp.neq tptp.sk4 tptp.nil) true) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_simplify)
% 76.69/76.88  (step t105.t2.t10 (cl (= (tptp.neq tptp.sk4 tptp.nil) true) (not (tptp.neq tptp.sk4 tptp.nil))) :rule equiv2 :premises (t105.t2.t9))
% 76.69/76.88  (step t105.t2.t11 (cl (= (tptp.neq tptp.sk4 tptp.nil) true)) :rule resolution :premises (t105.t2.t10 t105.t2.a0))
% 76.69/76.88  (step t105.t2.t12 (cl (= (tptp.neq tptp.sk3 tptp.nil) true)) :rule trans :premises (t105.t2.t8 t105.t2.t11))
% 76.69/76.88  (step t105.t2.t13 (cl (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t105.t2.t2 t105.t2.t12))
% 76.69/76.88  (step t105.t2 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) :rule subproof :discharge (t105.t2.a0 t105.t2.a1 t105.t2.a2))
% 76.69/76.88  (step t105.t3 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 76.69/76.88  (step t105.t4 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.69/76.88  (step t105.t5 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.69/76.88  (step t105.t6 (cl (tptp.neq tptp.sk3 tptp.nil) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t105.t2 t105.t3 t105.t4 t105.t5))
% 76.69/76.88  (step t105.t7 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule reordering :premises (t105.t6))
% 76.69/76.88  (step t105.t8 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule contraction :premises (t105.t7))
% 76.69/76.88  (step t105.t9 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t105.t1 t105.t8))
% 76.69/76.88  (step t105.t10 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule implies_neg2)
% 76.69/76.88  (step t105.t11 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t105.t9 t105.t10))
% 76.69/76.88  (step t105.t12 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule contraction :premises (t105.t11))
% 76.69/76.88  (step t105.t13 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule implies :premises (t105.t12))
% 76.69/76.88  (step t105.t14 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3))) :rule and_neg)
% 76.69/76.88  (step t105.t15 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) :rule resolution :premises (t105.t14 t105.a0 t105.a1 t105.a2))
% 76.69/76.88  (step t105.t16 (cl (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t105.t13 t105.t15))
% 76.69/76.88  (step t105 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) :rule subproof :discharge (t105.a0 t105.a1 t105.a2))
% 76.69/76.88  (step t106 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 76.69/76.88  (step t107 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.69/76.88  (step t108 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.69/76.88  (step t109 (cl (tptp.neq tptp.sk3 tptp.nil) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t105 t106 t107 t108))
% 76.69/76.88  (step t110 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule reordering :premises (t109))
% 76.69/76.88  (step t111 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule contraction :premises (t110))
% 76.69/76.88  (step t112 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t104 t111))
% 76.69/76.88  (step t113 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule implies_neg2)
% 76.69/76.88  (step t114 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t112 t113))
% 76.69/76.88  (step t115 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil))) :rule contraction :premises (t114))
% 76.69/76.88  (step t116 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (= tptp.nil tptp.sk3))) (tptp.neq tptp.sk3 tptp.nil)) :rule implies :premises (t115))
% 76.69/76.88  (step t117 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil)) :rule resolution :premises (t103 t116))
% 76.69/76.88  (step t118 (cl (tptp.neq tptp.sk3 tptp.nil) (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule reordering :premises (t117))
% 76.69/76.88  (step t119 (cl (not (= (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))) (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) (not (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1)))) (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_pos2)
% 76.69/76.88  (step t120 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t121 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 76.69/76.88  (step t122 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t121 a190 a189))
% 76.69/76.88  (step t123 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t122))
% 76.69/76.88  (step t124 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t120 t123))
% 76.69/76.88  (step t125 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t124))
% 76.69/76.88  (step t126 (cl (= (tptp.neq tptp.sk1 tptp.nil) (tptp.neq tptp.sk3 tptp.nil))) :rule cong :premises (t123 t120))
% 76.69/76.88  (step t127 (cl (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) :rule cong :premises (t126))
% 76.69/76.88  (step t128 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t122))
% 76.69/76.88  (step t129 (cl (= (tptp.segmentP tptp.sk2 tptp.sk1) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t128 t123))
% 76.69/76.88  (step t130 (cl (= (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule cong :premises (t129))
% 76.69/76.88  (step t131 (cl (= (or (not (= tptp.nil tptp.sk1)) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))) (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) :rule cong :premises (t125 t127 t130))
% 76.69/76.88  (step t132 (cl (or (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule resolution :premises (t119 t131 a197))
% 76.69/76.88  (step t133 (cl (not (= tptp.nil tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule or :premises (t132))
% 76.69/76.88  (step t134 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil)) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t133))
% 76.69/76.88  (step t135 (cl (not (= (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)))) (not (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil))) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_pos2)
% 76.69/76.88  (step t136 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t137 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t122))
% 76.69/76.88  (step t138 (cl (= (= tptp.nil tptp.sk1) (= tptp.nil tptp.sk3))) :rule cong :premises (t136 t137))
% 76.69/76.88  (step t139 (cl (= (not (= tptp.nil tptp.sk1)) (not (= tptp.nil tptp.sk3)))) :rule cong :premises (t138))
% 76.69/76.88  (step t140 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t122))
% 76.69/76.88  (step t141 (cl (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t140 t136))
% 76.69/76.88  (step t142 (cl (= (or (not (= tptp.nil tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)) (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)))) :rule cong :premises (t139 t141))
% 76.69/76.88  (step t143 (cl (or (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil))) :rule resolution :premises (t135 t142 a196))
% 76.69/76.88  (step t144 (cl (not (= tptp.nil tptp.sk3)) (tptp.neq tptp.sk4 tptp.nil)) :rule or :premises (t143))
% 76.69/76.88  (step t145 (cl (tptp.neq tptp.sk4 tptp.nil) (not (= tptp.nil tptp.sk3))) :rule reordering :premises (t144))
% 76.69/76.88  (step t146 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3))) :rule resolution :premises (t118 t134 a191 t145))
% 76.69/76.88  (step t147 (cl (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t146))
% 76.69/76.88  (step t148 (cl (not (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)) :rule or_pos)
% 76.69/76.88  (step t149 (cl (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (not (tptp.segmentP tptp.nil tptp.sk3)) (not (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t148))
% 76.69/76.88  (step t150 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t151)
% 76.69/76.88  (assume t151.a0 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 76.69/76.88  (step t151.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 76.69/76.88  (step t151.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule or :premises (t151.t1))
% 76.69/76.88  (step t151.t3 (cl (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t151.t2 t151.a0))
% 76.69/76.88  (step t151 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t151.a0))
% 76.69/76.88  (step t152 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t150 t151))
% 76.69/76.88  (step t153 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (not (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 76.69/76.88  (step t154 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t152 t153))
% 76.69/76.88  (step t155 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t154))
% 76.69/76.88  (step t156 (cl (not (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule implies :premises (t155))
% 76.69/76.88  (step t157 (cl (or (not (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.ssList tptp.sk3)) (= tptp.nil tptp.sk3))) :rule resolution :premises (t156 a79))
% 76.69/76.88  (step t158 (cl (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 76.69/76.88  (step t159 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t160)
% 76.69/76.88  (assume t160.a0 (tptp.segmentP tptp.sk4 tptp.sk3))
% 76.69/76.88  (assume t160.a1 (= tptp.nil tptp.sk4))
% 76.69/76.88  (step t160.t1 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t160.t2)
% 76.69/76.88  (assume t160.t2.a0 (tptp.segmentP tptp.sk4 tptp.sk3))
% 76.69/76.88  (assume t160.t2.a1 (= tptp.nil tptp.sk4))
% 76.69/76.88  (step t160.t2.t1 (cl (= (= (tptp.segmentP tptp.nil tptp.sk3) true) (tptp.segmentP tptp.nil tptp.sk3))) :rule equiv_simplify)
% 76.69/76.88  (step t160.t2.t2 (cl (not (= (tptp.segmentP tptp.nil tptp.sk3) true)) (tptp.segmentP tptp.nil tptp.sk3)) :rule equiv1 :premises (t160.t2.t1))
% 76.69/76.88  (step t160.t2.t3 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t160.t2.a1))
% 76.69/76.88  (step t160.t2.t4 (cl (= tptp.nil tptp.sk4)) :rule symm :premises (t160.t2.t3))
% 76.69/76.88  (step t160.t2.t5 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 76.69/76.88  (step t160.t2.t6 (cl (= (tptp.segmentP tptp.nil tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t160.t2.t4 t160.t2.t5))
% 76.69/76.88  (step t160.t2.t7 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) true) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv_simplify)
% 76.69/76.88  (step t160.t2.t8 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) true) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv2 :premises (t160.t2.t7))
% 76.69/76.88  (step t160.t2.t9 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) true)) :rule resolution :premises (t160.t2.t8 t160.t2.a0))
% 76.69/76.88  (step t160.t2.t10 (cl (= (tptp.segmentP tptp.nil tptp.sk3) true)) :rule trans :premises (t160.t2.t6 t160.t2.t9))
% 76.69/76.88  (step t160.t2.t11 (cl (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t160.t2.t2 t160.t2.t10))
% 76.69/76.88  (step t160.t2 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) :rule subproof :discharge (t160.t2.a0 t160.t2.a1))
% 76.69/76.88  (step t160.t3 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule and_pos)
% 76.69/76.88  (step t160.t4 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.69/76.88  (step t160.t5 (cl (tptp.segmentP tptp.nil tptp.sk3) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t160.t2 t160.t3 t160.t4))
% 76.69/76.88  (step t160.t6 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule reordering :premises (t160.t5))
% 76.69/76.88  (step t160.t7 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule contraction :premises (t160.t6))
% 76.69/76.88  (step t160.t8 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t160.t1 t160.t7))
% 76.69/76.88  (step t160.t9 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.segmentP tptp.nil tptp.sk3))) :rule implies_neg2)
% 76.69/76.88  (step t160.t10 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule resolution :premises (t160.t8 t160.t9))
% 76.69/76.88  (step t160.t11 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule contraction :premises (t160.t10))
% 76.69/76.88  (step t160.t12 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule implies :premises (t160.t11))
% 76.69/76.88  (step t160.t13 (cl (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4))) :rule and_neg)
% 76.69/76.88  (step t160.t14 (cl (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) :rule resolution :premises (t160.t13 t160.a0 t160.a1))
% 76.69/76.88  (step t160.t15 (cl (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t160.t12 t160.t14))
% 76.69/76.88  (step t160 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) :rule subproof :discharge (t160.a0 t160.a1))
% 76.69/76.88  (step t161 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule and_pos)
% 76.69/76.88  (step t162 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 76.69/76.88  (step t163 (cl (tptp.segmentP tptp.nil tptp.sk3) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t160 t161 t162))
% 76.69/76.88  (step t164 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule reordering :premises (t163))
% 76.69/76.88  (step t165 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule contraction :premises (t164))
% 76.69/76.88  (step t166 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t159 t165))
% 76.69/76.88  (step t167 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (not (tptp.segmentP tptp.nil tptp.sk3))) :rule implies_neg2)
% 76.69/76.88  (step t168 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule resolution :premises (t166 t167))
% 76.69/76.88  (step t169 (cl (=> (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3))) :rule contraction :premises (t168))
% 76.69/76.88  (step t170 (cl (not (and (tptp.segmentP tptp.sk4 tptp.sk3) (= tptp.nil tptp.sk4))) (tptp.segmentP tptp.nil tptp.sk3)) :rule implies :premises (t169))
% 76.69/76.88  (step t171 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (= tptp.nil tptp.sk4)) (tptp.segmentP tptp.nil tptp.sk3)) :rule resolution :premises (t158 t170))
% 76.69/76.88  (step t172 (cl (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t147 t149 t157 a187 t171 a191))
% 76.69/76.88  (step t173 (cl (not (= tptp.nil tptp.sk4))) :rule contraction :premises (t172))
% 76.69/76.88  (step t174 (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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t175)
% 76.69/76.88  (assume t175.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 76.69/76.88  (step t175.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.69/76.88  (step t175.t2 (cl (not (forall ((U $$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 (t175.t1))
% 76.69/76.88  (step t175.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 (t175.t2 t175.a0))
% 76.69/76.88  (step t175 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t175.a0))
% 76.69/76.88  (step t176 (cl (=> (forall ((U $$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 (t174 t175))
% 76.69/76.88  (step t177 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.69/76.88  (step t178 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t176 t177))
% 76.69/76.88  (step t179 (cl (=> (forall ((U $$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 (t178))
% 76.69/76.88  (step t180 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule implies :premises (t179))
% 76.69/76.88  (step t181 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule equiv_pos2)
% 76.69/76.88  (anchor :step t182 :args ((U $$unsorted) (:= U U)))
% 76.69/76.88  (step t182.t1 (cl (= U U)) :rule refl)
% 76.69/76.88  (step t182.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.69/76.88  (step t182.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 76.69/76.88  (step t182.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 76.69/76.88  (step t182.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 (t182.t2 t182.t3 t182.t4))
% 76.69/76.88  (step t182 (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)
% 76.69/76.88  (step t183 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t181 t182 a108))
% 76.69/76.88  (step t184 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t180 t183))
% 76.69/76.88  (step t185 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t102 t173 a188 t184))
% 76.69/76.88  (step t186 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or_pos)
% 76.69/76.88  (step t187 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule reordering :premises (t186))
% 76.69/76.88  (step t188 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t189)
% 76.69/76.88  (assume t189.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 76.69/76.88  (step t189.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.69/76.88  (step t189.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule or :premises (t189.t1))
% 76.69/76.88  (step t189.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t189.t2 t189.a0))
% 76.69/76.88  (step t189 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule subproof :discharge (t189.a0))
% 76.69/76.88  (step t190 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t188 t189))
% 76.69/76.88  (step t191 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule implies_neg2)
% 76.69/76.88  (step t192 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule resolution :premises (t190 t191))
% 76.69/76.88  (step t193 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule contraction :premises (t192))
% 76.69/76.88  (step t194 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule implies :premises (t193))
% 76.69/76.88  (step t195 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t194 a11))
% 76.69/76.88  (step t196 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t197)
% 76.69/76.88  (assume t197.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 76.69/76.88  (step t197.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (step t197.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or :premises (t197.t1))
% 76.69/76.88  (step t197.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t197.t2 t197.a0))
% 76.69/76.88  (step t197 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule subproof :discharge (t197.a0))
% 76.69/76.88  (step t198 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t196 t197))
% 76.69/76.88  (step t199 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule implies_neg2)
% 76.69/76.88  (step t200 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t198 t199))
% 76.69/76.88  (step t201 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule contraction :premises (t200))
% 76.69/76.88  (step t202 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies :premises (t201))
% 76.69/76.88  (step t203 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule equiv_pos2)
% 76.69/76.88  (anchor :step t204 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.69/76.88  (step t204.t1 (cl (= U U)) :rule refl)
% 76.69/76.88  (step t204.t2 (cl (= V V)) :rule refl)
% 76.69/76.88  (step t204.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.69/76.88  (step t204.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.69/76.88  (step t204.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 76.69/76.88  (step t204.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule cong :premises (t204.t3 t204.t4 t204.t5))
% 76.69/76.88  (step t204 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) :rule bind)
% 76.69/76.88  (step t205 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule resolution :premises (t203 t204 a96))
% 76.69/76.88  (step t206 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t202 t205))
% 76.69/76.88  (step t207 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t187 t195 t84 t206))
% 76.69/76.88  (step t208 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule or_pos)
% 76.69/76.88  (step t209 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule reordering :premises (t208))
% 76.69/76.88  (step t210 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t211)
% 76.69/76.88  (assume t211.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 76.69/76.88  (step t211.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.69/76.88  (step t211.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule or :premises (t211.t1))
% 76.69/76.88  (step t211.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t211.t2 t211.a0))
% 76.69/76.88  (step t211 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule subproof :discharge (t211.a0))
% 76.69/76.88  (step t212 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t210 t211))
% 76.69/76.88  (step t213 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.69/76.88  (step t214 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule resolution :premises (t212 t213))
% 76.69/76.88  (step t215 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule contraction :premises (t214))
% 76.69/76.88  (step t216 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule implies :premises (t215))
% 76.69/76.88  (step t217 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t216 a85))
% 76.69/76.88  (step t218 (cl (tptp.ssList (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t209 a7 t195 t217))
% 76.69/76.88  (step t219 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t100 t185 t207 t218))
% 76.69/76.88  (step t220 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.69/76.88  (step t221 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t220))
% 76.69/76.88  (step t222 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t223)
% 76.69/76.88  (assume t223.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 76.69/76.88  (step t223.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (step t223.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t223.t1))
% 76.69/76.88  (step t223.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t223.t2 t223.a0))
% 76.69/76.88  (step t223 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t223.a0))
% 76.69/76.88  (step t224 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t222 t223))
% 76.69/76.88  (step t225 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.69/76.88  (step t226 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t224 t225))
% 76.69/76.88  (step t227 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t226))
% 76.69/76.88  (step t228 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t227))
% 76.69/76.88  (step t229 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t228 a56))
% 76.69/76.88  (step t230 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t221 t219 t229))
% 76.69/76.88  (step t231 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t232)
% 76.69/76.88  (assume t232.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))
% 76.69/76.88  (step t232.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= W (tptp.skaf82 tptp.sk4)) (:= X tptp.nil)))
% 76.69/76.88  (step t232.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t232.t1))
% 76.69/76.88  (step t232.t3 (cl (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t232.t2 t232.a0))
% 76.69/76.88  (step t232 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t232.a0))
% 76.69/76.88  (step t233 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t231 t232))
% 76.69/76.88  (step t234 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.69/76.88  (step t235 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t233 t234))
% 76.69/76.88  (step t236 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t235))
% 76.69/76.88  (step t237 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t236))
% 76.69/76.88  (step t238 (cl (or (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t237 a171))
% 76.69/76.88  (step t239 (cl (tptp.segmentP (tptp.app (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t76 a7 t84 t219 t230 t238))
% 76.69/76.88  (step t240 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 76.69/76.88  (step t241 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t240))
% 76.69/76.88  (step t242 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 76.69/76.88  (step t243 (cl (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t242))
% 76.69/76.88  (step t244 (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)
% 76.69/76.88  (step t245 (cl (= tptp.nil tptp.sk4) (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t244))
% 76.69/76.88  (step t246 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t247)
% 76.69/76.88  (assume t247.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 76.69/76.88  (step t247.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 76.69/76.88  (step t247.t2 (cl (not (forall ((U $$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 (t247.t1))
% 76.69/76.88  (step t247.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t247.t2 t247.a0))
% 76.69/76.88  (step t247 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule subproof :discharge (t247.a0))
% 76.69/76.88  (step t248 (cl (=> (forall ((U $$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 (t246 t247))
% 76.69/76.88  (step t249 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule implies_neg2)
% 76.69/76.88  (step t250 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t248 t249))
% 76.69/76.88  (step t251 (cl (=> (forall ((U $$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 (t250))
% 76.69/76.88  (step t252 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies :premises (t251))
% 76.69/76.88  (step t253 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t252 a75))
% 76.69/76.88  (step t254 (cl (tptp.ssItem (tptp.hd tptp.sk4))) :rule resolution :premises (t245 t173 a188 t253))
% 76.69/76.88  (step t255 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t256)
% 76.69/76.88  (assume t256.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 76.69/76.88  (step t256.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4))))
% 76.69/76.88  (step t256.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t256.t1))
% 76.69/76.88  (step t256.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t256.t2 t256.a0))
% 76.69/76.88  (step t256 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t256.a0))
% 76.69/76.88  (step t257 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t255 t256))
% 76.69/76.88  (step t258 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.69/76.88  (step t259 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t257 t258))
% 76.69/76.88  (step t260 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t259))
% 76.69/76.88  (step t261 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t260))
% 76.69/76.88  (step t262 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t261 a66))
% 76.69/76.88  (step t263 (cl (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t243 t254 t262))
% 76.69/76.88  (step t264 (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)
% 76.69/76.88  (step t265 (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 (t264))
% 76.69/76.88  (step t266 (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)
% 76.69/76.88  (step t267 (cl (= (not (= tptp.nil tptp.sk3)) (not (= tptp.nil tptp.sk3)))) :rule refl)
% 76.69/76.88  (step t268 (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)
% 76.69/76.88  (step t269 (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 (t268))
% 76.69/76.88  (step t270 (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)
% 76.69/76.88  (step t271 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule refl)
% 76.69/76.88  (step t272 (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)
% 76.69/76.88  (step t273 (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 (t271 t272))
% 76.69/76.88  (step t274 (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)
% 76.69/76.88  (step t275 (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 (t273 t274))
% 76.69/76.88  (step t276 (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 (t270 t275))
% 76.69/76.88  (step t277 (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 (t269 t276))
% 76.69/76.88  (step t278 (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)
% 76.69/76.88  (step t279 (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 (t267 t2 t3 t277 t278))
% 76.69/76.88  (step t280 (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)
% 76.69/76.88  (step t281 (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)
% 76.69/76.88  (anchor :step t282)
% 76.69/76.88  (assume t282.a0 (= tptp.nil tptp.sk3))
% 76.69/76.88  (assume t282.a1 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (assume t282.a2 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.69/76.88  (assume t282.a3 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.69/76.88  (step t282.t1 (cl (=> (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t282.t2)
% 76.69/76.88  (assume t282.t2.a0 (= tptp.nil tptp.sk3))
% 76.69/76.88  (assume t282.t2.a1 (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))
% 76.69/76.88  (assume t282.t2.a2 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 76.69/76.88  (assume t282.t2.a3 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (step t282.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)
% 76.69/76.88  (step t282.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 (t282.t2.t1))
% 76.69/76.88  (step t282.t2.t3 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t282.t2.a0))
% 76.69/76.88  (step t282.t2.t4 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 76.69/76.88  (step t282.t2.t5 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule cong :premises (t282.t2.t3 t282.t2.t4))
% 76.69/76.88  (step t282.t2.t6 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t282.t2.t7 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t282.t2.a3))
% 76.69/76.88  (step t282.t2.t8 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t282.t2.t7))
% 76.69/76.88  (step t282.t2.t9 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t282.t2.t8))
% 76.69/76.88  (step t282.t2.t10 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t282.t2.a2))
% 76.69/76.88  (step t282.t2.t11 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t282.t2.t10))
% 76.69/76.88  (step t282.t2.t12 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t282.t2.t11))
% 76.69/76.88  (step t282.t2.t13 (cl (= (tptp.hd tptp.sk4) (tptp.skaf83 tptp.sk4))) :rule trans :premises (t282.t2.t9 t282.t2.t12))
% 76.69/76.88  (step t282.t2.t14 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule cong :premises (t282.t2.t13 t282.t2.t6))
% 76.69/76.88  (step t282.t2.t15 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule cong :premises (t282.t2.t6 t282.t2.t14))
% 76.69/76.88  (step t282.t2.t16 (cl (= (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv_simplify)
% 76.69/76.88  (step t282.t2.t17 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) :rule equiv2 :premises (t282.t2.t16))
% 76.69/76.88  (step t282.t2.t18 (cl (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))))) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule not_not)
% 76.69/76.88  (step t282.t2.t19 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false) (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) :rule resolution :premises (t282.t2.t17 t282.t2.t18))
% 76.69/76.88  (step t282.t2.t20 (cl (= (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)) false)) :rule resolution :premises (t282.t2.t19 t282.t2.a1))
% 76.69/76.88  (step t282.t2.t21 (cl (= (= tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t282.t2.t15 t282.t2.t20))
% 76.69/76.88  (step t282.t2.t22 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) false)) :rule trans :premises (t282.t2.t5 t282.t2.t21))
% 76.69/76.88  (step t282.t2.t23 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t282.t2.t2 t282.t2.t22))
% 76.69/76.88  (step t282.t2 (cl (not (= tptp.nil tptp.sk3)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t282.t2.a0 t282.t2.a1 t282.t2.a2 t282.t2.a3))
% 76.69/76.88  (step t282.t3 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.nil tptp.sk3)) :rule and_pos)
% 76.69/76.88  (step t282.t4 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule and_pos)
% 76.69/76.88  (step t282.t5 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 76.69/76.88  (step t282.t6 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 76.69/76.88  (step t282.t7 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t282.t2 t282.t3 t282.t4 t282.t5 t282.t6))
% 76.69/76.88  (step t282.t8 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t282.t7))
% 76.69/76.88  (step t282.t9 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule contraction :premises (t282.t8))
% 76.69/76.88  (step t282.t10 (cl (=> (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t282.t1 t282.t9))
% 76.69/76.88  (step t282.t11 (cl (=> (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 76.69/76.88  (step t282.t12 (cl (=> (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t282.t10 t282.t11))
% 76.69/76.88  (step t282.t13 (cl (=> (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t282.t12))
% 76.69/76.88  (step t282.t14 (cl (not (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t282.t13))
% 76.69/76.88  (step t282.t15 (cl (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= tptp.nil tptp.sk3)) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_neg)
% 76.69/76.88  (step t282.t16 (cl (and (= tptp.nil tptp.sk3) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t282.t15 t282.a0 t282.a3 t282.a2 t282.a1))
% 76.69/76.88  (step t282.t17 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t282.t14 t282.t16))
% 76.69/76.88  (step t282 (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 (t282.a0 t282.a1 t282.a2 t282.a3))
% 76.69/76.88  (step t283 (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)
% 76.69/76.88  (step t284 (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)
% 76.69/76.88  (step t285 (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)
% 76.69/76.88  (step t286 (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)
% 76.69/76.88  (step t287 (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 (t282 t283 t284 t285 t286))
% 76.69/76.88  (step t288 (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 (t287))
% 76.69/76.88  (step t289 (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 (t288))
% 76.69/76.88  (step t290 (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 (t281 t289))
% 76.69/76.88  (step t291 (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)
% 76.69/76.88  (step t292 (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 (t290 t291))
% 76.69/76.88  (step t293 (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 (t292))
% 76.69/76.88  (step t294 (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 (t293))
% 76.69/76.88  (step t295 (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 (t280 t294))
% 76.69/76.88  (step t296 (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)
% 76.69/76.88  (step t297 (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)
% 76.69/76.88  (step t298 (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)
% 76.69/76.88  (step t299 (cl (or (not (= tptp.nil tptp.sk3)) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (not (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))))) :rule or_neg)
% 76.69/76.88  (step t300 (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)
% 76.69/76.88  (step t301 (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 (t295 t296 t297 t298 t299 t300))
% 76.69/76.88  (step t302 (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 (t301))
% 76.69/76.88  (step t303 (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 (t266 t279 t302))
% 76.69/76.88  (step t304 (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 (t303))
% 76.69/76.88  (step t305 (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)
% 76.69/76.88  (step t306 (cl (not (tptp.ssList tptp.nil)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3) (not (tptp.ssList tptp.sk3)) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule reordering :premises (t305))
% 76.69/76.88  (step t307 (cl (not (= (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))) (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) (not (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1)))) (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_pos2)
% 76.69/76.88  (step t308 (cl (= tptp.nil tptp.nil)) :rule refl)
% 76.69/76.88  (step t309 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t122))
% 76.69/76.88  (step t310 (cl (= (= tptp.nil tptp.sk2) (= tptp.nil tptp.sk4))) :rule cong :premises (t308 t309))
% 76.69/76.88  (step t311 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t122))
% 76.69/76.88  (step t312 (cl (= (tptp.neq tptp.sk1 tptp.nil) (tptp.neq tptp.sk3 tptp.nil))) :rule cong :premises (t311 t308))
% 76.69/76.88  (step t313 (cl (= (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.neq tptp.sk3 tptp.nil)))) :rule cong :premises (t312))
% 76.69/76.88  (step t314 (cl (= (tptp.segmentP tptp.sk2 tptp.sk1) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t309 t311))
% 76.69/76.88  (step t315 (cl (= (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule cong :premises (t314))
% 76.69/76.88  (step t316 (cl (= (or (= tptp.nil tptp.sk2) (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))) (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))))) :rule cong :premises (t310 t313 t315))
% 76.69/76.88  (step t317 (cl (or (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule resolution :premises (t307 t316 a195))
% 76.69/76.88  (step t318 (cl (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk3 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule or :premises (t317))
% 76.69/76.88  (step t319 (cl (= tptp.nil tptp.sk4) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk3 tptp.nil))) :rule reordering :premises (t318))
% 76.69/76.88  (step t320 (cl (not (tptp.neq tptp.sk3 tptp.nil))) :rule resolution :premises (t319 t173 a191))
% 76.69/76.88  (step t321 (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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t322)
% 76.69/76.88  (assume t322.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.69/76.88  (step t322.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule forall_inst :args ((:= U tptp.nil) (:= V tptp.sk3)))
% 76.69/76.88  (step t322.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule or :premises (t322.t1))
% 76.69/76.88  (step t322.t3 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t322.t2 t322.a0))
% 76.69/76.88  (step t322 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule subproof :discharge (t322.a0))
% 76.69/76.88  (step t323 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t321 t322))
% 76.69/76.88  (step t324 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) (not (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule implies_neg2)
% 76.69/76.88  (step t325 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule resolution :premises (t323 t324))
% 76.69/76.88  (step t326 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3)))) :rule contraction :premises (t325))
% 76.69/76.88  (step t327 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule implies :premises (t326))
% 76.69/76.88  (step t328 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 76.69/76.88  (anchor :step t329 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.69/76.88  (step t329.t1 (cl (= U U)) :rule refl)
% 76.69/76.88  (step t329.t2 (cl (= V V)) :rule refl)
% 76.69/76.88  (step t329.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.69/76.88  (step t329.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.69/76.88  (step t329.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 76.69/76.88  (step t329.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 76.69/76.88  (step t329.t7 (cl (= (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t329.t3 t329.t4 t329.t5 t329.t6))
% 76.69/76.88  (step t329 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule bind)
% 76.69/76.88  (step t330 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t328 t329 a99))
% 76.69/76.88  (step t331 (cl (or (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t327 t330))
% 76.69/76.88  (step t332 (cl (= tptp.nil tptp.sk3)) :rule resolution :premises (t306 a7 t320 a187 t331))
% 76.69/76.88  (step t333 (cl (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 76.69/76.88  (step t334 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t333))
% 76.69/76.88  (step t335 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t336)
% 76.69/76.88  (assume t336.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 76.69/76.88  (step t336.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V tptp.nil)))
% 76.69/76.88  (step t336.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule or :premises (t336.t1))
% 76.69/76.88  (step t336.t3 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t336.t2 t336.a0))
% 76.69/76.88  (step t336 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t336.a0))
% 76.69/76.88  (step t337 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t335 t336))
% 76.69/76.88  (step t338 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 76.69/76.88  (step t339 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t337 t338))
% 76.69/76.88  (step t340 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t339))
% 76.69/76.88  (step t341 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t340))
% 76.69/76.88  (step t342 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 76.69/76.88  (anchor :step t343 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 76.69/76.88  (step t343.t1 (cl (= U U)) :rule refl)
% 76.69/76.88  (step t343.t2 (cl (= V V)) :rule refl)
% 76.69/76.88  (step t343.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 76.69/76.88  (step t343.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t343.t3))
% 76.69/76.88  (step t343.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 76.69/76.88  (step t343.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 76.69/76.88  (step t343.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t343.t4 t343.t5 t343.t6))
% 76.69/76.88  (step t343 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 76.69/76.88  (step t344 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t342 t343 a97))
% 76.69/76.88  (step t345 (cl (or (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t341 t344))
% 76.69/76.88  (step t346 (cl (not (= tptp.nil (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil)))) :rule resolution :premises (t334 a7 t195 t345))
% 76.69/76.88  (step t347 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t304 t332 t185 t207 t346))
% 76.69/76.88  (step t348 (cl (not (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule equiv_pos2)
% 76.69/76.88  (step t349 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) :rule refl)
% 76.69/76.88  (step t350 (cl (= (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule refl)
% 76.69/76.88  (step t351 (cl (= (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)))) :rule refl)
% 76.69/76.88  (step t352 (cl (= (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 76.69/76.88  (step t353 (cl (= (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule all_simplify)
% 76.69/76.88  (step t354 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule cong :premises (t350 t351 t352 t353))
% 76.69/76.88  (step t355 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule cong :premises (t349 t354))
% 76.69/76.88  (step t356 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t357)
% 76.69/76.88  (assume t357.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 76.69/76.88  (step t357.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (:= V tptp.sk3)))
% 76.69/76.88  (step t357.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule or :premises (t357.t1))
% 76.69/76.88  (step t357.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t357.t2 t357.a0))
% 76.69/76.88  (step t357 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule subproof :discharge (t357.a0))
% 76.69/76.88  (step t358 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) :rule resolution :premises (t356 t357))
% 76.69/76.88  (step t359 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule implies_neg2)
% 76.69/76.88  (step t360 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule resolution :premises (t358 t359))
% 76.69/76.88  (step t361 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)))) :rule contraction :premises (t360))
% 76.69/76.88  (step t362 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssList tptp.sk3)) (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t348 t355 t361))
% 76.69/76.88  (step t363 (cl (not (forall ((U $$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 (t362))
% 76.69/76.88  (step t364 (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 (t363 t330))
% 76.69/76.88  (step t365 (cl (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t265 a187 t219 t347 t364))
% 76.69/76.88  (step t366 (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)
% 76.69/76.88  (step t367 (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)
% 76.69/76.88  (anchor :step t368)
% 76.69/76.88  (assume t368.a0 (= tptp.nil tptp.sk3))
% 76.69/76.88  (assume t368.a1 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (anchor :step t368.t2)
% 76.69/76.88  (assume t368.t2.a0 (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))
% 76.69/76.88  (assume t368.t2.a1 (= tptp.nil tptp.sk3))
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (step t368.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 (t368.t2.t1))
% 76.69/76.88  (step t368.t2.t3 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule refl)
% 76.69/76.88  (step t368.t2.t4 (cl (= tptp.sk3 tptp.nil)) :rule symm :premises (t368.t2.a1))
% 76.69/76.88  (step t368.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 (t368.t2.t3 t368.t2.t4))
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (step t368.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 (t368.t2.t6))
% 76.69/76.88  (step t368.t2.t8 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) true)) :rule resolution :premises (t368.t2.t7 t368.t2.a0))
% 76.69/76.88  (step t368.t2.t9 (cl (= (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3) true)) :rule trans :premises (t368.t2.t5 t368.t2.t8))
% 76.69/76.88  (step t368.t2.t10 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t368.t2.t2 t368.t2.t9))
% 76.69/76.88  (step t368.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 (t368.t2.a0 t368.t2.a1))
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (step t368.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 (t368.t2 t368.t3 t368.t4))
% 76.69/76.88  (step t368.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 (t368.t5))
% 76.69/76.88  (step t368.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 (t368.t6))
% 76.69/76.88  (step t368.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 (t368.t1 t368.t7))
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (step t368.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 (t368.t8 t368.t9))
% 76.69/76.88  (step t368.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 (t368.t10))
% 76.69/76.88  (step t368.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 (t368.t11))
% 76.69/76.88  (step t368.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)
% 76.69/76.88  (step t368.t14 (cl (and (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil) (= tptp.nil tptp.sk3))) :rule resolution :premises (t368.t13 t368.a1 t368.a0))
% 76.69/76.88  (step t368.t15 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t368.t12 t368.t14))
% 76.69/76.88  (step t368 (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 (t368.a0 t368.a1))
% 76.69/76.88  (step t369 (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)
% 76.69/76.88  (step t370 (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)
% 76.69/76.88  (step t371 (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 (t368 t369 t370))
% 76.69/76.88  (step t372 (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 (t371))
% 76.69/76.88  (step t373 (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 (t372))
% 76.69/76.88  (step t374 (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 (t367 t373))
% 76.69/76.88  (step t375 (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)
% 76.69/76.88  (step t376 (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 (t374 t375))
% 76.69/76.88  (step t377 (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 (t376))
% 76.69/76.88  (step t378 (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 (t377))
% 76.69/76.88  (step t379 (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 (t366 t378))
% 76.69/76.88  (step t380 (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 (t379))
% 76.69/76.88  (step t381 (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)
% 76.69/76.88  (step t382 (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 (t381))
% 76.69/76.88  (step t383 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t384)
% 76.69/76.88  (assume t384.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 76.69/76.88  (step t384.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (step t384.t2 (cl (not (forall ((U $$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 (t384.t1))
% 76.69/76.88  (step t384.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 (t384.t2 t384.a0))
% 76.69/76.88  (step t384 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule subproof :discharge (t384.a0))
% 76.69/76.88  (step t385 (cl (=> (forall ((U $$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 (t383 t384))
% 76.69/76.88  (step t386 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule implies_neg2)
% 76.69/76.88  (step t387 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)))) :rule resolution :premises (t385 t386))
% 76.69/76.88  (step t388 (cl (=> (forall ((U $$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 (t387))
% 76.69/76.88  (step t389 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule implies :premises (t388))
% 76.69/76.88  (step t390 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil))) :rule resolution :premises (t389 a55))
% 76.69/76.88  (step t391 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.nil)) :rule resolution :premises (t382 t219 t390))
% 76.69/76.88  (step t392 (cl (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule resolution :premises (t380 t332 t391))
% 76.69/76.88  (step t393 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t394)
% 76.69/76.88  (assume t394.a0 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))))
% 76.69/76.88  (step t394.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= A (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (step t394.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t394.t1))
% 76.69/76.88  (step t394.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t394.t2 t394.a0))
% 76.69/76.88  (step t394 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t394.a0))
% 76.69/76.88  (step t395 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t393 t394))
% 76.69/76.88  (step t396 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.69/76.88  (step t397 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t395 t396))
% 76.69/76.88  (step t398 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t397))
% 76.69/76.88  (step t399 (cl (not (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.totalorderedP A))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t398))
% 76.69/76.88  (step t400 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.neq tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.segmentP (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) (not (tptp.totalorderedP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t399 a193))
% 76.69/76.88  (step t401 (cl (not (tptp.segmentP tptp.sk4 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t241 t219 t263 t365 t392 t400))
% 76.69/76.88  (step t402 (cl (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 76.69/76.88  (step t403 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t402))
% 76.69/76.88  (step t404 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t405)
% 76.69/76.88  (assume t405.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 76.69/76.88  (step t405.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 76.69/76.88  (step t405.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t405.t1))
% 76.69/76.88  (step t405.t3 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t405.t2 t405.a0))
% 76.69/76.88  (step t405 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t405.a0))
% 76.69/76.88  (step t406 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t404 t405))
% 76.69/76.88  (step t407 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 76.69/76.88  (step t408 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t406 t407))
% 76.69/76.88  (step t409 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t408))
% 76.69/76.88  (step t410 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t409))
% 76.69/76.88  (step t411 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 76.69/76.88  (anchor :step t412 :args ((U $$unsorted) (:= U U)))
% 76.69/76.88  (step t412.t1 (cl (= U U)) :rule refl)
% 76.69/76.88  (step t412.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 76.69/76.88  (step t412.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 76.69/76.88  (step t412.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t412.t2 t412.t3))
% 76.69/76.88  (step t412 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 76.69/76.88  (step t413 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t411 t412 a73))
% 76.69/76.88  (step t414 (cl (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t410 t413))
% 76.69/76.88  (step t415 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t403 t219 t414))
% 76.69/76.88  (step t416 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))) :rule or_pos)
% 76.69/76.88  (step t417 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule reordering :premises (t416))
% 76.69/76.88  (step t418 (cl (not (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule equiv_pos2)
% 76.69/76.88  (step t419 (cl (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) :rule refl)
% 76.69/76.88  (step t420 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))))) :rule refl)
% 76.69/76.88  (step t421 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))))) :rule refl)
% 76.69/76.88  (step t422 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))) :rule all_simplify)
% 76.69/76.88  (step t423 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule cong :premises (t420 t421 t422))
% 76.69/76.88  (step t424 (cl (= (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))))) :rule cong :premises (t419 t423))
% 76.69/76.88  (step t425 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) :rule implies_neg1)
% 76.69/76.88  (anchor :step t426)
% 76.69/76.88  (assume t426.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 76.69/76.88  (step t426.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 76.69/76.88  (step t426.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or :premises (t426.t1))
% 76.69/76.88  (step t426.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t426.t2 t426.a0))
% 76.69/76.88  (step t426 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule subproof :discharge (t426.a0))
% 76.69/76.88  (step t427 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t425 t426))
% 76.69/76.88  (step t428 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg2)
% 76.69/76.88  (step t429 (cl (=> (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t427 t428))
% 76.69/76.88  (step t430 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule contraction :premises (t429))
% 76.69/76.88  (step t431 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t418 t424 t430))
% 76.69/76.88  (step t432 (cl (not (forall ((U $$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 (t431))
% 76.69/76.88  (step t433 (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 (t432 a119))
% 76.69/76.88  (step t434 (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 (t417 t195 t84 t433))
% 76.69/76.88  (step t435 (cl) :rule resolution :premises (t73 t239 t401 t415 t434 t207 t185))
% 76.69/76.88  
% 76.69/76.89  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.2WDRDHjVgP/cvc5---1.0.5_23773.smt2
% 76.69/76.89  % cvc5---1.0.5 exiting
% 76.69/76.89  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------