%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC382-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:01:50 EDT 2024

% Result   : Unsatisfiable 33.37s 33.69s
% Output   : Proof 33.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SWC382-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sun May 26 16:15:09 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.24/0.56  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.58/10.85  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.67/15.89  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.65/20.95  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.65/26.01  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.70/31.10  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 33.37/33.69  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.iFtHfAxvDj/cvc5---1.0.5_3060.smt2
% 33.37/33.69  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.iFtHfAxvDj/cvc5---1.0.5_3060.smt2
% 33.43/33.74  (assume a0 (tptp.equalelemsP tptp.nil))
% 33.43/33.74  (assume a1 (tptp.duplicatefreeP tptp.nil))
% 33.43/33.74  (assume a2 (tptp.strictorderedP tptp.nil))
% 33.43/33.74  (assume a3 (tptp.totalorderedP tptp.nil))
% 33.43/33.74  (assume a4 (tptp.strictorderP tptp.nil))
% 33.43/33.74  (assume a5 (tptp.totalorderP tptp.nil))
% 33.43/33.74  (assume a6 (tptp.cyclefreeP tptp.nil))
% 33.43/33.74  (assume a7 (tptp.ssList tptp.nil))
% 33.43/33.74  (assume a8 (tptp.ssItem tptp.skac3))
% 33.43/33.74  (assume a9 (tptp.ssItem tptp.skac2))
% 33.43/33.74  (assume a10 (not (tptp.singletonP tptp.nil)))
% 33.43/33.74  (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 33.43/33.74  (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 33.43/33.74  (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 33.43/33.74  (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 33.43/33.74  (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 33.43/33.74  (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 33.43/33.74  (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 33.43/33.74  (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 33.43/33.74  (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 33.43/33.74  (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 33.43/33.74  (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 33.43/33.74  (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 33.43/33.74  (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 33.43/33.74  (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 33.43/33.74  (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 33.43/33.74  (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 33.43/33.74  (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 33.43/33.74  (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 33.43/33.74  (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 33.43/33.74  (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 33.43/33.74  (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 33.43/33.74  (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 33.43/33.74  (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 33.43/33.74  (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 33.43/33.74  (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 33.43/33.74  (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 33.43/33.74  (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 33.43/33.74  (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 33.43/33.74  (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 33.43/33.74  (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 33.43/33.74  (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 33.43/33.74  (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 33.43/33.74  (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 33.43/33.74  (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 33.43/33.74  (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 33.43/33.74  (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 33.43/33.74  (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 33.43/33.74  (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 33.43/33.74  (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 33.43/33.74  (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 33.43/33.74  (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 33.43/33.74  (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 33.43/33.74  (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 33.43/33.74  (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 33.43/33.74  (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 33.43/33.74  (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 33.43/33.74  (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 33.43/33.74  (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 33.43/33.74  (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 33.43/33.74  (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 33.43/33.74  (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 33.43/33.74  (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 33.43/33.74  (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 33.43/33.74  (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 33.43/33.74  (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 33.43/33.74  (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 33.43/33.74  (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 33.43/33.74  (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 33.43/33.74  (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 33.43/33.74  (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 33.43/33.74  (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 33.43/33.74  (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 33.43/33.74  (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 33.43/33.74  (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 33.43/33.74  (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 33.43/33.74  (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 33.43/33.74  (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 33.43/33.74  (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 33.43/33.74  (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 33.43/33.74  (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 33.43/33.74  (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 33.43/33.74  (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 33.43/33.74  (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 33.43/33.74  (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 33.43/33.74  (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 33.43/33.74  (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 33.43/33.74  (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 33.43/33.74  (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 33.43/33.74  (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 33.43/33.74  (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 33.43/33.74  (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 33.43/33.74  (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 33.43/33.74  (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 33.43/33.74  (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 33.43/33.74  (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 33.43/33.74  (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 33.43/33.74  (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 33.43/33.74  (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 33.43/33.74  (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 33.43/33.74  (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 33.43/33.74  (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 33.43/33.74  (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 33.43/33.74  (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 33.43/33.74  (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 33.43/33.74  (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 33.43/33.74  (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 33.43/33.74  (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 33.43/33.74  (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 33.43/33.74  (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 33.43/33.74  (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 33.43/33.74  (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 33.43/33.74  (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 33.43/33.74  (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 33.43/33.74  (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 33.43/33.74  (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 33.43/33.74  (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 33.43/33.74  (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 33.43/33.74  (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 33.43/33.74  (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 33.43/33.74  (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 33.43/33.74  (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 33.43/33.74  (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 33.43/33.74  (assume a135 (forall ((U $$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))))
% 33.43/33.74  (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 33.43/33.74  (assume a137 (forall ((U $$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))))
% 33.43/33.74  (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 33.43/33.74  (assume a139 (forall ((U $$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))))
% 33.43/33.74  (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 33.43/33.74  (assume a141 (forall ((U $$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))))
% 33.43/33.74  (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 33.43/33.74  (assume a143 (forall ((U $$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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 33.43/33.74  (assume a146 (forall ((U $$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))))
% 33.43/33.74  (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 33.43/33.74  (assume a148 (forall ((U $$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))))))
% 33.43/33.74  (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 33.43/33.74  (assume a150 (forall ((U $$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))))
% 33.43/33.74  (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 33.43/33.74  (assume a152 (forall ((U $$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))))
% 33.43/33.74  (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 33.43/33.74  (assume a154 (forall ((U $$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))))
% 33.43/33.74  (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 33.43/33.74  (assume a156 (forall ((U $$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)))))
% 33.43/33.74  (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 33.43/33.74  (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 33.43/33.74  (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 33.43/33.74  (assume a160 (forall ((U $$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))))
% 33.43/33.74  (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 33.43/33.74  (assume a162 (forall ((U $$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))))
% 33.43/33.74  (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 33.43/33.74  (assume a164 (forall ((U $$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))))
% 33.43/33.74  (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 33.43/33.74  (assume a166 (forall ((U $$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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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)))))
% 33.43/33.74  (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 33.43/33.74  (assume a179 (forall ((U $$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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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))))
% 33.43/33.74  (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)))))
% 33.43/33.74  (assume a185 (tptp.ssList tptp.sk1))
% 33.43/33.74  (assume a186 (tptp.ssList tptp.sk2))
% 33.43/33.74  (assume a187 (tptp.ssList tptp.sk3))
% 33.43/33.74  (assume a188 (tptp.ssList tptp.sk4))
% 33.43/33.74  (assume a189 (= tptp.sk2 tptp.sk4))
% 33.43/33.74  (assume a190 (= tptp.sk1 tptp.sk3))
% 33.43/33.74  (assume a191 (or (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk2 tptp.nil)))
% 33.43/33.74  (assume a192 (or (tptp.neq tptp.sk2 tptp.nil) (not (tptp.neq tptp.sk4 tptp.nil))))
% 33.43/33.74  (assume a193 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (tptp.neq tptp.sk2 tptp.nil))))
% 33.43/33.74  (assume a194 (or (not (tptp.singletonP tptp.sk1)) (not (tptp.segmentP tptp.sk2 tptp.sk1)) (tptp.neq tptp.sk2 tptp.nil)))
% 33.43/33.74  (assume a195 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))))
% 33.43/33.74  (assume a196 (or (not (tptp.singletonP tptp.sk1)) (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.neq tptp.sk4 tptp.nil))))
% 33.43/33.74  (step t1 (cl (not (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))))) (not (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule equiv_pos2)
% 33.43/33.74  (step t2 (cl (= (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule refl)
% 33.43/33.74  (step t3 (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)
% 33.43/33.74  (step t4 (cl (= (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) true) (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_simplify)
% 33.43/33.74  (step t5 (cl (not (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) true)) (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule equiv1 :premises (t4))
% 33.43/33.74  (step t6 (cl (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) (= (tptp.segmentP tptp.sk4 tptp.sk3) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))))) :rule all_simplify)
% 33.43/33.74  (step t7 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule refl)
% 33.43/33.74  (step t8 (cl (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule all_simplify)
% 33.43/33.74  (step t9 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule cong :premises (t7 t8))
% 33.43/33.74  (step t10 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP tptp.sk4 tptp.sk3)) true)) :rule all_simplify)
% 33.43/33.74  (step t11 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) true)) :rule trans :premises (t9 t10))
% 33.43/33.74  (step t12 (cl (= (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3)) true)) :rule trans :premises (t6 t11))
% 33.43/33.74  (step t13 (cl (= (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t5 t12))
% 33.43/33.74  (step t14 (cl (= (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule refl)
% 33.43/33.74  (step t15 (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)
% 33.43/33.74  (step t16 (cl (= (not (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule refl)
% 33.43/33.74  (step t17 (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)
% 33.43/33.74  (step t18 (cl (= (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule refl)
% 33.43/33.74  (step t19 (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)
% 33.43/33.74  (step t20 (cl (= (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule refl)
% 33.43/33.74  (step t21 (cl (= (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))))) :rule cong :premises (t2 t3 t13 t14 t15 t16 t17 t18 t19 t20))
% 33.43/33.74  (step t22 (cl (not (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))))) (not (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule equiv_pos2)
% 33.43/33.74  (step t23 (cl (= (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule refl)
% 33.43/33.74  (step t24 (cl (= (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))))) :rule equiv_simplify)
% 33.43/33.74  (step t25 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (not (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))))) :rule equiv2 :premises (t24))
% 33.43/33.74  (step t26 (cl (not (not (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule not_not)
% 33.43/33.74  (step t27 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule resolution :premises (t25 t26))
% 33.43/33.74  (step t28 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t29)
% 33.43/33.74  (assume t29.a0 (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))
% 33.43/33.74  (assume t29.a1 (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))
% 33.43/33.74  (assume t29.a2 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 33.43/33.74  (assume t29.a3 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 33.43/33.74  (assume t29.a4 (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 33.43/33.74  (assume t29.a5 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (assume t29.a6 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 33.43/33.74  (assume t29.a7 (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 33.43/33.74  (assume t29.a8 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (assume t29.a9 (not (tptp.segmentP tptp.sk4 tptp.sk3)))
% 33.43/33.74  (step t29.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 33.43/33.74  (step t29.t2 (cl (= (= false true) false)) :rule all_simplify)
% 33.43/33.74  (step t29.t3 (cl (= (= (tptp.segmentP tptp.sk4 tptp.sk3) false) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv_simplify)
% 33.43/33.74  (step t29.t4 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) false) (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule equiv2 :premises (t29.t3))
% 33.43/33.74  (step t29.t5 (cl (not (not (not (tptp.segmentP tptp.sk4 tptp.sk3)))) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule not_not)
% 33.43/33.74  (step t29.t6 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) false) (tptp.segmentP tptp.sk4 tptp.sk3)) :rule resolution :premises (t29.t4 t29.t5))
% 33.43/33.74  (step t29.t7 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) false)) :rule resolution :premises (t29.t6 t29.a9))
% 33.43/33.74  (step t29.t8 (cl (= false (tptp.segmentP tptp.sk4 tptp.sk3))) :rule symm :premises (t29.t7))
% 33.43/33.74  (step t29.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 (t29.a8))
% 33.43/33.74  (step t29.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 (t29.t9))
% 33.43/33.74  (step t29.t11 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf83 tptp.sk4))) :rule symm :premises (t29.a6))
% 33.43/33.74  (step t29.t12 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t29.t11))
% 33.43/33.74  (step t29.t13 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t29.a5))
% 33.43/33.74  (step t29.t14 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.hd tptp.sk4))) :rule cong :premises (t29.t13))
% 33.43/33.74  (step t29.t15 (cl (= (tptp.hd tptp.sk3) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule cong :premises (t29.a2))
% 33.43/33.74  (step t29.t16 (cl (= (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.hd tptp.sk3))) :rule symm :premises (t29.t15))
% 33.43/33.74  (step t29.t17 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd tptp.sk3))) :rule trans :premises (t29.t12 t29.t14 t29.a4 t29.t16))
% 33.43/33.74  (step t29.t18 (cl (= (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.hd tptp.sk4))) :rule symm :premises (t29.a4))
% 33.43/33.74  (step t29.t19 (cl (= (tptp.hd tptp.sk3) (tptp.hd tptp.sk4))) :rule trans :premises (t29.t15 t29.t18))
% 33.43/33.74  (step t29.t20 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd tptp.sk4))) :rule trans :premises (t29.t17 t29.t19))
% 33.43/33.74  (step t29.t21 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) (tptp.app tptp.nil tptp.nil)))) :rule cong :premises (t29.t20 t29.a3))
% 33.43/33.74  (step t29.t22 (cl (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4))) :rule refl)
% 33.43/33.74  (step t29.t23 (cl (= (tptp.app tptp.nil tptp.nil) tptp.nil)) :rule symm :premises (t29.a3))
% 33.43/33.74  (step t29.t24 (cl (= (tptp.cons (tptp.hd tptp.sk4) (tptp.app tptp.nil tptp.nil)) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule cong :premises (t29.t22 t29.t23))
% 33.43/33.74  (step t29.t25 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule trans :premises (t29.t21 t29.t24))
% 33.43/33.74  (step t29.t26 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf82 tptp.sk4))) :rule symm :premises (t29.a7))
% 33.43/33.74  (step t29.t27 (cl (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t29.t26))
% 33.43/33.74  (step t29.t28 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.tl tptp.sk4))) :rule cong :premises (t29.t13))
% 33.43/33.74  (step t29.t29 (cl (= (tptp.skaf82 tptp.sk4) (tptp.tl tptp.sk4))) :rule trans :premises (t29.t27 t29.t28))
% 33.43/33.74  (step t29.t30 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.tl tptp.sk4)))) :rule cong :premises (t29.t25 t29.t29))
% 33.43/33.74  (step t29.t31 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule symm :premises (t29.a2))
% 33.43/33.74  (step t29.t32 (cl (= (tptp.app tptp.nil tptp.sk3) tptp.sk3)) :rule symm :premises (t29.a1))
% 33.43/33.74  (step t29.t33 (cl (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule symm :premises (t29.t32))
% 33.43/33.74  (step t29.t34 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.app tptp.nil tptp.sk3))) :rule trans :premises (t29.t31 t29.t33))
% 33.43/33.74  (step t29.t35 (cl (= (tptp.tl tptp.sk4) (tptp.tl tptp.sk4))) :rule refl)
% 33.43/33.74  (step t29.t36 (cl (= (tptp.app (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.tl tptp.sk4)) (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)))) :rule cong :premises (t29.t34 t29.t35))
% 33.43/33.74  (step t29.t37 (cl (= tptp.sk4 (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)))) :rule trans :premises (t29.a5 t29.t10 t29.t30 t29.t36))
% 33.43/33.74  (step t29.t38 (cl (= tptp.sk3 tptp.sk3)) :rule refl)
% 33.43/33.74  (step t29.t39 (cl (= (tptp.segmentP tptp.sk4 tptp.sk3) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule cong :premises (t29.t37 t29.t38))
% 33.43/33.74  (step t29.t40 (cl (= (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) true) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule equiv_simplify)
% 33.43/33.74  (step t29.t41 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) true) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule equiv2 :premises (t29.t40))
% 33.43/33.74  (step t29.t42 (cl (= (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) true)) :rule resolution :premises (t29.t41 t29.a0))
% 33.43/33.74  (step t29.t43 (cl (= false true)) :rule trans :premises (t29.t8 t29.t39 t29.t42))
% 33.43/33.74  (step t29.t44 (cl false) :rule resolution :premises (t29.t1 t29.t2 t29.t43))
% 33.43/33.74  (step t29 (cl (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.sk3))) false) :rule subproof :discharge (t29.a0 t29.a1 t29.a2 t29.a3 t29.a4 t29.a5 t29.a6 t29.a7 t29.a8 t29.a9))
% 33.43/33.74  (step t30 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) :rule and_pos)
% 33.43/33.74  (step t31 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule and_pos)
% 33.43/33.74  (step t32 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t33 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t34 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 33.43/33.74  (step t35 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 33.43/33.74  (step t36 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 33.43/33.74  (step t37 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 33.43/33.74  (step t38 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (= (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)
% 33.43/33.74  (step t39 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule and_pos)
% 33.43/33.74  (step t40 (cl false (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) :rule resolution :premises (t29 t30 t31 t32 t33 t34 t35 t36 t37 t38 t39))
% 33.43/33.74  (step t41 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) false) :rule reordering :premises (t40))
% 33.43/33.74  (step t42 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) false) :rule contraction :premises (t41))
% 33.43/33.74  (step t43 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) false) :rule resolution :premises (t28 t42))
% 33.43/33.74  (step t44 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (not false)) :rule implies_neg2)
% 33.43/33.74  (step t45 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false)) :rule resolution :premises (t43 t44))
% 33.43/33.74  (step t46 (cl (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false)) :rule contraction :premises (t45))
% 33.43/33.74  (step t47 (cl (= (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))))) :rule implies_simplify)
% 33.43/33.74  (step t48 (cl (not (=> (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false)) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) :rule equiv1 :premises (t47))
% 33.43/33.74  (step t49 (cl (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) :rule resolution :premises (t46 t48))
% 33.43/33.74  (step t50 (cl (= (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) false)) :rule resolution :premises (t27 t49))
% 33.43/33.74  (step t51 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) false))) :rule cong :premises (t23 t50))
% 33.43/33.74  (step t52 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) false) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))))) :rule all_simplify)
% 33.43/33.74  (step t53 (cl (= (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))))) :rule trans :premises (t51 t52))
% 33.43/33.74  (step t54 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t55)
% 33.43/33.74  (assume t55.a0 (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 33.43/33.74  (assume t55.a1 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 33.43/33.74  (assume t55.a2 (not (tptp.segmentP tptp.sk4 tptp.sk3)))
% 33.43/33.74  (assume t55.a3 (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))
% 33.43/33.74  (assume t55.a4 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (assume t55.a5 (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))
% 33.43/33.74  (assume t55.a6 (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 33.43/33.74  (assume t55.a7 (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 33.43/33.74  (assume t55.a8 (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk4) tptp.nil) (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (assume t55.a9 (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))
% 33.43/33.74  (step t55.t1 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.sk3)))) :rule and_neg)
% 33.43/33.74  (step t55.t2 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule resolution :premises (t55.t1 t55.a9 t55.a3 t55.a1 t55.a0 t55.a5 t55.a4 t55.a6 t55.a7 t55.a8 t55.a2))
% 33.43/33.74  (step t55 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule subproof :discharge (t55.a0 t55.a1 t55.a2 t55.a3 t55.a4 t55.a5 t55.a6 t55.a7 t55.a8 t55.a9))
% 33.43/33.74  (step t56 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t57 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t58 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule and_pos)
% 33.43/33.74  (step t59 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule and_pos)
% 33.43/33.74  (step t60 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule and_pos)
% 33.43/33.74  (step t61 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_pos)
% 33.43/33.74  (step t62 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 33.43/33.74  (step t63 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 33.43/33.74  (step t64 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (= (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)
% 33.43/33.74  (step t65 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) :rule and_pos)
% 33.43/33.74  (step t66 (cl (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t55 t56 t57 t58 t59 t60 t61 t62 t63 t64 t65))
% 33.43/33.74  (step t67 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule reordering :premises (t66))
% 33.43/33.74  (step t68 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule contraction :premises (t67))
% 33.43/33.74  (step t69 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) :rule resolution :premises (t54 t68))
% 33.43/33.74  (step t70 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (not (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) :rule implies_neg2)
% 33.43/33.74  (step t71 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3)))) (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) :rule resolution :premises (t69 t70))
% 33.43/33.74  (step t72 (cl (=> (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) (and (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.sk3))))) :rule contraction :premises (t71))
% 33.43/33.74  (step t73 (cl (not (and (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= (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.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t22 t53 t72))
% 33.43/33.74  (step t74 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule not_and :premises (t73))
% 33.43/33.74  (step t75 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule or_neg)
% 33.43/33.74  (step t76 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or_neg)
% 33.43/33.74  (step t77 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (not (tptp.segmentP tptp.sk4 tptp.sk3))))) :rule or_neg)
% 33.43/33.74  (step t78 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule or_neg)
% 33.43/33.74  (step t79 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or_neg)
% 33.43/33.74  (step t80 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule or_neg)
% 33.43/33.74  (step t81 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule or_neg)
% 33.43/33.74  (step t82 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule or_neg)
% 33.43/33.74  (step t83 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (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)
% 33.43/33.74  (step t84 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (not (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule or_neg)
% 33.43/33.74  (step t85 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t74 t75 t76 t77 t78 t79 t80 t81 t82 t83 t84))
% 33.43/33.74  (step t86 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (not (tptp.segmentP tptp.sk4 tptp.sk3))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule contraction :premises (t85))
% 33.43/33.74  (step t87 (cl (or (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t1 t21 t86))
% 33.43/33.74  (step t88 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule or :premises (t87))
% 33.43/33.74  (step t89 (cl (not (= tptp.nil (tptp.app tptp.nil tptp.nil))) (tptp.segmentP tptp.sk4 tptp.sk3) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (= (tptp.hd tptp.sk4) (tptp.hd (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.skaf82 tptp.sk4) (tptp.tl (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.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule reordering :premises (t88))
% 33.43/33.74  (step t90 (cl (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) :rule or_pos)
% 33.43/33.74  (step t91 (cl (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) :rule contraction :premises (t90))
% 33.43/33.74  (step t92 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3) (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule reordering :premises (t91))
% 33.43/33.74  (step t93 (cl (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)) :rule or_pos)
% 33.43/33.74  (step t94 (cl (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule reordering :premises (t93))
% 33.43/33.74  (step t95 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t96)
% 33.43/33.74  (assume t96.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 33.43/33.74  (step t96.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3)))
% 33.43/33.74  (step t96.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule or :premises (t96.t1))
% 33.43/33.74  (step t96.t3 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t96.t2 t96.a0))
% 33.43/33.74  (step t96 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule subproof :discharge (t96.a0))
% 33.43/33.74  (step t97 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t95 t96))
% 33.43/33.74  (step t98 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (not (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule implies_neg2)
% 33.43/33.74  (step t99 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule resolution :premises (t97 t98))
% 33.43/33.74  (step t100 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3)))) :rule contraction :premises (t99))
% 33.43/33.74  (step t101 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U)))) (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule implies :premises (t100))
% 33.43/33.74  (step t102 (cl (or (not (tptp.ssList tptp.sk3)) (tptp.segmentP tptp.sk3 tptp.sk3))) :rule resolution :premises (t101 a56))
% 33.43/33.74  (step t103 (cl (tptp.segmentP tptp.sk3 tptp.sk3)) :rule resolution :premises (t94 a187 t102))
% 33.43/33.74  (step t104 (cl (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.ssList (tptp.skaf82 tptp.sk4))) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule and_neg)
% 33.43/33.74  (step t105 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4))) (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t106)
% 33.43/33.74  (assume t106.a0 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (assume t106.a1 (tptp.ssList (tptp.skaf82 tptp.sk4)))
% 33.43/33.74  (assume t106.a2 (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 33.43/33.74  (step t106.t1 (cl (=> (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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)
% 33.43/33.74  (anchor :step t106.t2)
% 33.43/33.74  (assume t106.t2.a0 (tptp.ssList (tptp.skaf82 tptp.sk4)))
% 33.43/33.74  (assume t106.t2.a1 (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))
% 33.43/33.74  (assume t106.t2.a2 (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (step t106.t2.t1 (cl (= (= (tptp.ssList (tptp.tl tptp.sk4)) true) (tptp.ssList (tptp.tl tptp.sk4)))) :rule equiv_simplify)
% 33.43/33.74  (step t106.t2.t2 (cl (not (= (tptp.ssList (tptp.tl tptp.sk4)) true)) (tptp.ssList (tptp.tl tptp.sk4))) :rule equiv1 :premises (t106.t2.t1))
% 33.43/33.74  (step t106.t2.t3 (cl (= (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)) tptp.sk4)) :rule symm :premises (t106.t2.a2))
% 33.43/33.74  (step t106.t2.t4 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule symm :premises (t106.t2.t3))
% 33.43/33.74  (step t106.t2.t5 (cl (= (tptp.tl tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule cong :premises (t106.t2.t4))
% 33.43/33.74  (step t106.t2.t6 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf82 tptp.sk4))) :rule symm :premises (t106.t2.a1))
% 33.43/33.74  (step t106.t2.t7 (cl (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule symm :premises (t106.t2.t6))
% 33.43/33.74  (step t106.t2.t8 (cl (= (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.skaf82 tptp.sk4))) :rule symm :premises (t106.t2.t7))
% 33.43/33.74  (step t106.t2.t9 (cl (= (tptp.tl tptp.sk4) (tptp.skaf82 tptp.sk4))) :rule trans :premises (t106.t2.t5 t106.t2.t8))
% 33.43/33.74  (step t106.t2.t10 (cl (= (tptp.ssList (tptp.tl tptp.sk4)) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule cong :premises (t106.t2.t9))
% 33.43/33.74  (step t106.t2.t11 (cl (= (= (tptp.ssList (tptp.skaf82 tptp.sk4)) true) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule equiv_simplify)
% 33.43/33.74  (step t106.t2.t12 (cl (= (tptp.ssList (tptp.skaf82 tptp.sk4)) true) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule equiv2 :premises (t106.t2.t11))
% 33.43/33.74  (step t106.t2.t13 (cl (= (tptp.ssList (tptp.skaf82 tptp.sk4)) true)) :rule resolution :premises (t106.t2.t12 t106.t2.a0))
% 33.43/33.74  (step t106.t2.t14 (cl (= (tptp.ssList (tptp.tl tptp.sk4)) true)) :rule trans :premises (t106.t2.t10 t106.t2.t13))
% 33.43/33.74  (step t106.t2.t15 (cl (tptp.ssList (tptp.tl tptp.sk4))) :rule resolution :premises (t106.t2.t2 t106.t2.t14))
% 33.43/33.74  (step t106.t2 (cl (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) :rule subproof :discharge (t106.t2.a0 t106.t2.a1 t106.t2.a2))
% 33.43/33.74  (step t106.t3 (cl (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4))) :rule and_pos)
% 33.43/33.74  (step t106.t4 (cl (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 33.43/33.74  (step t106.t5 (cl (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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)
% 33.43/33.74  (step t106.t6 (cl (tptp.ssList (tptp.tl tptp.sk4)) (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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 (t106.t2 t106.t3 t106.t4 t106.t5))
% 33.43/33.74  (step t106.t7 (cl (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) :rule reordering :premises (t106.t6))
% 33.43/33.74  (step t106.t8 (cl (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) :rule contraction :premises (t106.t7))
% 33.43/33.74  (step t106.t9 (cl (=> (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) (tptp.ssList (tptp.tl tptp.sk4))) :rule resolution :premises (t106.t1 t106.t8))
% 33.43/33.74  (step t106.t10 (cl (=> (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) (not (tptp.ssList (tptp.tl tptp.sk4)))) :rule implies_neg2)
% 33.43/33.74  (step t106.t11 (cl (=> (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) (=> (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4)))) :rule resolution :premises (t106.t9 t106.t10))
% 33.43/33.74  (step t106.t12 (cl (=> (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4)))) :rule contraction :premises (t106.t11))
% 33.43/33.74  (step t106.t13 (cl (not (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.tl tptp.sk4))) :rule implies :premises (t106.t12))
% 33.43/33.74  (step t106.t14 (cl (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4))) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (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)
% 33.43/33.74  (step t106.t15 (cl (and (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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 (t106.t14 t106.a1 t106.a2 t106.a0))
% 33.43/33.74  (step t106.t16 (cl (tptp.ssList (tptp.tl tptp.sk4))) :rule resolution :premises (t106.t13 t106.t15))
% 33.43/33.74  (step t106 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4))) :rule subproof :discharge (t106.a0 t106.a1 t106.a2))
% 33.43/33.74  (step t107 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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)
% 33.43/33.74  (step t108 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule and_pos)
% 33.43/33.74  (step t109 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule and_pos)
% 33.43/33.74  (step t110 (cl (tptp.ssList (tptp.tl tptp.sk4)) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t106 t107 t108 t109))
% 33.43/33.74  (step t111 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.ssList (tptp.tl tptp.sk4))) :rule reordering :premises (t110))
% 33.43/33.74  (step t112 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.ssList (tptp.tl tptp.sk4))) :rule contraction :premises (t111))
% 33.43/33.74  (step t113 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4))) (tptp.ssList (tptp.tl tptp.sk4))) :rule resolution :premises (t105 t112))
% 33.43/33.74  (step t114 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList (tptp.tl tptp.sk4)))) :rule implies_neg2)
% 33.43/33.74  (step t115 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4))) (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4)))) :rule resolution :premises (t113 t114))
% 33.43/33.74  (step t116 (cl (=> (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4)))) :rule contraction :premises (t115))
% 33.43/33.74  (step t117 (cl (not (and (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4)) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (tptp.ssList (tptp.tl tptp.sk4))) :rule implies :premises (t116))
% 33.43/33.74  (step t118 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) (tptp.ssList (tptp.tl tptp.sk4))) :rule resolution :premises (t104 t117))
% 33.43/33.74  (step t119 (cl (not (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.tl tptp.sk4)) (not (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule reordering :premises (t118))
% 33.43/33.74  (step t120 (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)
% 33.43/33.74  (step t121 (cl (not (tptp.ssList tptp.sk4)) (= tptp.nil tptp.sk4) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (not (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t120))
% 33.43/33.74  (step t122 (cl (not (= (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4)))) (not (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4))) :rule equiv_pos2)
% 33.43/33.74  (step t123 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 33.43/33.74  (step t124 (cl (= (not (= tptp.nil tptp.sk4)) (not (= tptp.nil tptp.sk4)))) :rule refl)
% 33.43/33.74  (step t125 (cl (= (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true) (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv_simplify)
% 33.43/33.74  (step t126 (cl (not (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true)) (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule equiv1 :premises (t125))
% 33.43/33.74  (step t127 (cl (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))))) :rule all_simplify)
% 33.43/33.74  (step t128 (cl (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4))) :rule refl)
% 33.43/33.74  (step t129 (cl (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule all_simplify)
% 33.43/33.74  (step t130 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4)))) :rule cong :premises (t128 t129))
% 33.43/33.74  (step t131 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.sk4)) true)) :rule all_simplify)
% 33.43/33.74  (step t132 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) true)) :rule trans :premises (t130 t131))
% 33.43/33.74  (step t133 (cl (= (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4)) true)) :rule trans :premises (t127 t132))
% 33.43/33.74  (step t134 (cl (= (not (not (tptp.neq tptp.sk4 tptp.sk4))) (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t126 t133))
% 33.43/33.74  (step t135 (cl (= (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4)))) :rule cong :premises (t123 t124 t134))
% 33.43/33.74  (step t136 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t137)
% 33.43/33.74  (assume t137.a0 (tptp.neq tptp.sk4 tptp.nil))
% 33.43/33.74  (assume t137.a1 (= tptp.nil tptp.sk4))
% 33.43/33.74  (assume t137.a2 (not (tptp.neq tptp.sk4 tptp.sk4)))
% 33.43/33.74  (step t137.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 33.43/33.74  (step t137.t2 (cl (= (= false true) false)) :rule all_simplify)
% 33.43/33.74  (step t137.t3 (cl (= (= (tptp.neq tptp.sk4 tptp.sk4) false) (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv_simplify)
% 33.43/33.74  (step t137.t4 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule equiv2 :premises (t137.t3))
% 33.43/33.74  (step t137.t5 (cl (not (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (tptp.neq tptp.sk4 tptp.sk4)) :rule not_not)
% 33.43/33.74  (step t137.t6 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false) (tptp.neq tptp.sk4 tptp.sk4)) :rule resolution :premises (t137.t4 t137.t5))
% 33.43/33.74  (step t137.t7 (cl (= (tptp.neq tptp.sk4 tptp.sk4) false)) :rule resolution :premises (t137.t6 t137.a2))
% 33.43/33.74  (step t137.t8 (cl (= false (tptp.neq tptp.sk4 tptp.sk4))) :rule symm :premises (t137.t7))
% 33.43/33.74  (step t137.t9 (cl (= tptp.sk4 tptp.sk4)) :rule refl)
% 33.43/33.74  (step t137.t10 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t137.a1))
% 33.43/33.74  (step t137.t11 (cl (= (tptp.neq tptp.sk4 tptp.sk4) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t137.t9 t137.t10))
% 33.43/33.74  (step t137.t12 (cl (= (= (tptp.neq tptp.sk4 tptp.nil) true) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_simplify)
% 33.43/33.74  (step t137.t13 (cl (= (tptp.neq tptp.sk4 tptp.nil) true) (not (tptp.neq tptp.sk4 tptp.nil))) :rule equiv2 :premises (t137.t12))
% 33.43/33.74  (step t137.t14 (cl (= (tptp.neq tptp.sk4 tptp.nil) true)) :rule resolution :premises (t137.t13 t137.a0))
% 33.43/33.74  (step t137.t15 (cl (= false true)) :rule trans :premises (t137.t8 t137.t11 t137.t14))
% 33.43/33.74  (step t137.t16 (cl false) :rule resolution :premises (t137.t1 t137.t2 t137.t15))
% 33.43/33.74  (step t137 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))) false) :rule subproof :discharge (t137.a0 t137.a1 t137.a2))
% 33.43/33.74  (step t138 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 33.43/33.74  (step t139 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 33.43/33.74  (step t140 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.sk4))) :rule and_pos)
% 33.43/33.74  (step t141 (cl false (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t137 t138 t139 t140))
% 33.43/33.74  (step t142 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) false) :rule reordering :premises (t141))
% 33.43/33.74  (step t143 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))) false) :rule contraction :premises (t142))
% 33.43/33.74  (step t144 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) false) :rule resolution :premises (t136 t143))
% 33.43/33.74  (step t145 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (not false)) :rule implies_neg2)
% 33.43/33.74  (step t146 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false)) :rule resolution :premises (t144 t145))
% 33.43/33.74  (step t147 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false)) :rule contraction :premises (t146))
% 33.43/33.74  (step t148 (cl (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4)))))) :rule implies_simplify)
% 33.43/33.74  (step t149 (cl (not (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))) false)) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule equiv1 :premises (t148))
% 33.43/33.74  (step t150 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t147 t149))
% 33.43/33.74  (step t151 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) :rule not_and :premises (t150))
% 33.43/33.74  (step t152 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (not (tptp.neq tptp.sk4 tptp.nil)))) :rule or_neg)
% 33.43/33.74  (step t153 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 33.43/33.74  (step t154 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (not (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule or_neg)
% 33.43/33.74  (step t155 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule resolution :premises (t151 t152 t153 t154))
% 33.43/33.74  (step t156 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.sk4 tptp.sk4))))) :rule contraction :premises (t155))
% 33.43/33.74  (step t157 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t122 t135 t156))
% 33.43/33.74  (step t158 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (tptp.neq tptp.sk4 tptp.sk4)) :rule or :premises (t157))
% 33.43/33.74  (step t159 (cl (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))) :rule or_pos)
% 33.43/33.74  (step t160 (cl (not (tptp.ssList tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.sk4)) (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule reordering :premises (t159))
% 33.43/33.74  (step t161 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t162)
% 33.43/33.74  (assume t162.a0 (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))
% 33.43/33.74  (step t162.t1 (cl (or (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule forall_inst :args ((:= V tptp.sk4)))
% 33.43/33.74  (step t162.t2 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule or :premises (t162.t1))
% 33.43/33.74  (step t162.t3 (cl (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t162.t2 t162.a0))
% 33.43/33.74  (step t162 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule subproof :discharge (t162.a0))
% 33.43/33.74  (step t163 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t161 t162))
% 33.43/33.74  (step t164 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (not (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule implies_neg2)
% 33.43/33.74  (step t165 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule resolution :premises (t163 t164))
% 33.43/33.74  (step t166 (cl (=> (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4))))) :rule contraction :premises (t165))
% 33.43/33.74  (step t167 (cl (not (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule implies :premises (t166))
% 33.43/33.74  (step t168 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U))))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 33.43/33.74  (step t169 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((V $$unsorted)) (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V)))))) :rule all_simplify)
% 33.43/33.74  (anchor :step t170 :args ((V $$unsorted) (:= V V)))
% 33.43/33.74  (step t170.t1 (cl (= V V)) :rule refl)
% 33.43/33.74  (step t170.t2 (cl (= (= V V) true)) :rule all_simplify)
% 33.43/33.74  (step t170.t3 (cl (= (not (= V V)) (not true))) :rule cong :premises (t170.t2))
% 33.43/33.74  (step t170.t4 (cl (= (not true) false)) :rule all_simplify)
% 33.43/33.74  (step t170.t5 (cl (= (not (= V V)) false)) :rule trans :premises (t170.t3 t170.t4))
% 33.43/33.74  (step t170.t6 (cl (= (not (tptp.neq V V)) (not (tptp.neq V V)))) :rule refl)
% 33.43/33.74  (step t170.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 33.43/33.74  (step t170.t8 (cl (= (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or false (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))))) :rule cong :premises (t170.t5 t170.t6 t170.t7 t170.t7))
% 33.43/33.74  (step t170.t9 (cl (= (or false (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule all_simplify)
% 33.43/33.74  (step t170.t10 (cl (= (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V))) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule trans :premises (t170.t8 t170.t9))
% 33.43/33.74  (step t170 (cl (= (forall ((V $$unsorted)) (or (not (= V V)) (not (tptp.neq V V)) (not (tptp.ssList V)) (not (tptp.ssList V)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) :rule bind)
% 33.43/33.74  (step t171 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) :rule trans :premises (t169 t170))
% 33.43/33.74  (step t172 (cl (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V))))) :rule resolution :premises (t168 t171 a114))
% 33.43/33.74  (step t173 (cl (or (not (tptp.neq tptp.sk4 tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule resolution :premises (t167 t172))
% 33.43/33.74  (step t174 (cl (not (tptp.neq tptp.sk4 tptp.sk4))) :rule resolution :premises (t160 a188 t173))
% 33.43/33.74  (step t175 (cl (not (= (or (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk2 tptp.nil)) (tptp.neq tptp.sk4 tptp.nil))) (not (or (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk2 tptp.nil))) (tptp.neq tptp.sk4 tptp.nil)) :rule equiv_pos2)
% 33.43/33.74  (step t176 (cl (= (or (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk2 tptp.nil)) (tptp.neq tptp.sk2 tptp.nil))) :rule all_simplify)
% 33.43/33.74  (step t177 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 33.43/33.74  (step t178 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t177 a190 a189))
% 33.43/33.74  (step t179 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t178))
% 33.43/33.74  (step t180 (cl (= tptp.nil tptp.nil)) :rule refl)
% 33.43/33.74  (step t181 (cl (= (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t179 t180))
% 33.43/33.74  (step t182 (cl (= (or (tptp.neq tptp.sk2 tptp.nil) (tptp.neq tptp.sk2 tptp.nil)) (tptp.neq tptp.sk4 tptp.nil))) :rule trans :premises (t176 t181))
% 33.43/33.74  (step t183 (cl (tptp.neq tptp.sk4 tptp.nil)) :rule resolution :premises (t175 t182 a191))
% 33.43/33.74  (step t184 (cl (not (= tptp.nil tptp.sk4))) :rule resolution :premises (t158 t174 t183))
% 33.43/33.74  (step t185 (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)
% 33.43/33.74  (anchor :step t186)
% 33.43/33.74  (assume t186.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 33.43/33.74  (step t186.t1 (cl (or (not (forall ((U $$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)))
% 33.43/33.74  (step t186.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule or :premises (t186.t1))
% 33.43/33.74  (step t186.t3 (cl (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t186.t2 t186.a0))
% 33.43/33.74  (step t186 (cl (not (forall ((U $$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 (t186.a0))
% 33.43/33.74  (step t187 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4))) :rule resolution :premises (t185 t186))
% 33.43/33.74  (step t188 (cl (=> (forall ((U $$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)
% 33.43/33.74  (step t189 (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 (t187 t188))
% 33.43/33.74  (step t190 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t189))
% 33.43/33.74  (step t191 (cl (not (forall ((U $$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 (t190))
% 33.43/33.74  (step t192 (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)
% 33.43/33.74  (anchor :step t193 :args ((U $$unsorted) (:= U U)))
% 33.43/33.74  (step t193.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t193.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 33.43/33.74  (step t193.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 33.43/33.74  (step t193.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 33.43/33.74  (step t193.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule cong :premises (t193.t2 t193.t3 t193.t4))
% 33.43/33.74  (step t193 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 33.43/33.74  (step t194 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t192 t193 a108))
% 33.43/33.74  (step t195 (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 (t191 t194))
% 33.43/33.74  (step t196 (cl (= tptp.sk4 (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))) :rule resolution :premises (t121 a188 t184 t195))
% 33.43/33.74  (step t197 (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)
% 33.43/33.74  (anchor :step t198)
% 33.43/33.74  (assume t198.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 33.43/33.74  (step t198.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 33.43/33.74  (step t198.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule or :premises (t198.t1))
% 33.43/33.74  (step t198.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t198.t2 t198.a0))
% 33.43/33.74  (step t198 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule subproof :discharge (t198.a0))
% 33.43/33.74  (step t199 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t197 t198))
% 33.43/33.74  (step t200 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule implies_neg2)
% 33.43/33.74  (step t201 (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 (t199 t200))
% 33.43/33.74  (step t202 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk4)))) :rule contraction :premises (t201))
% 33.43/33.74  (step t203 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule implies :premises (t202))
% 33.43/33.74  (step t204 (cl (tptp.ssList (tptp.skaf82 tptp.sk4))) :rule resolution :premises (t203 a12))
% 33.43/33.74  (step t205 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule or_pos)
% 33.43/33.74  (step t206 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule reordering :premises (t205))
% 33.43/33.74  (step t207 (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)
% 33.43/33.74  (anchor :step t208)
% 33.43/33.74  (assume t208.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 33.43/33.74  (step t208.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule forall_inst :args ((:= U tptp.sk4)))
% 33.43/33.74  (step t208.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule or :premises (t208.t1))
% 33.43/33.74  (step t208.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t208.t2 t208.a0))
% 33.43/33.74  (step t208 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule subproof :discharge (t208.a0))
% 33.43/33.74  (step t209 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t207 t208))
% 33.43/33.74  (step t210 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule implies_neg2)
% 33.43/33.74  (step t211 (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 (t209 t210))
% 33.43/33.74  (step t212 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk4)))) :rule contraction :premises (t211))
% 33.43/33.74  (step t213 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule implies :premises (t212))
% 33.43/33.74  (step t214 (cl (tptp.ssItem (tptp.skaf83 tptp.sk4))) :rule resolution :premises (t213 a11))
% 33.43/33.74  (step t215 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t216)
% 33.43/33.74  (assume t216.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 33.43/33.74  (step t216.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk4)) (:= V (tptp.skaf82 tptp.sk4))))
% 33.43/33.74  (step t216.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule or :premises (t216.t1))
% 33.43/33.74  (step t216.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t216.t2 t216.a0))
% 33.43/33.74  (step t216 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule subproof :discharge (t216.a0))
% 33.43/33.74  (step t217 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t215 t216))
% 33.43/33.74  (step t218 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (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.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule implies_neg2)
% 33.43/33.74  (step t219 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule resolution :premises (t217 t218))
% 33.43/33.74  (step t220 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))))) :rule contraction :premises (t219))
% 33.43/33.74  (step t221 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule implies :premises (t220))
% 33.43/33.74  (step t222 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule equiv_pos2)
% 33.43/33.74  (anchor :step t223 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 33.43/33.74  (step t223.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t223.t2 (cl (= V V)) :rule refl)
% 33.43/33.74  (step t223.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 33.43/33.74  (step t223.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 33.43/33.74  (step t223.t5 (cl (= (= (tptp.tl (tptp.cons U V)) V) (= V (tptp.tl (tptp.cons U V))))) :rule all_simplify)
% 33.43/33.74  (step t223.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule cong :premises (t223.t3 t223.t4 t223.t5))
% 33.43/33.74  (step t223 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) :rule bind)
% 33.43/33.74  (step t224 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule resolution :premises (t222 t223 a95))
% 33.43/33.74  (step t225 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4)))))) :rule resolution :premises (t221 t224))
% 33.43/33.74  (step t226 (cl (= (tptp.skaf82 tptp.sk4) (tptp.tl (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t206 t214 t204 t225))
% 33.43/33.74  (step t227 (cl (tptp.ssList (tptp.tl tptp.sk4))) :rule resolution :premises (t119 t196 t204 t226))
% 33.43/33.74  (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t229)
% 33.43/33.74  (assume t229.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))))
% 33.43/33.74  (step t229.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule forall_inst :args ((:= U tptp.sk3) (:= V tptp.sk3) (:= W (tptp.tl tptp.sk4)) (:= X tptp.nil)))
% 33.43/33.74  (step t229.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule or :premises (t229.t1))
% 33.43/33.74  (step t229.t3 (cl (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule resolution :premises (t229.t2 t229.a0))
% 33.43/33.74  (step t229 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule subproof :discharge (t229.a0))
% 33.43/33.74  (step t230 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule resolution :premises (t228 t229))
% 33.43/33.74  (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.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (not (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule implies_neg2)
% 33.43/33.74  (step t232 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule resolution :premises (t230 t231))
% 33.43/33.74  (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.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)))) :rule contraction :premises (t232))
% 33.43/33.74  (step t234 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V)))) (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule implies :premises (t233))
% 33.43/33.74  (step t235 (cl (or (not (tptp.segmentP tptp.sk3 tptp.sk3)) (not (tptp.ssList (tptp.tl tptp.sk4))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk3)) (not (tptp.ssList tptp.sk3)) (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3))) :rule resolution :premises (t234 a171))
% 33.43/33.74  (step t236 (cl (tptp.segmentP (tptp.app (tptp.app tptp.nil tptp.sk3) (tptp.tl tptp.sk4)) tptp.sk3)) :rule resolution :premises (t92 a7 a187 t103 t227 t235))
% 33.43/33.74  (step t237 (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)
% 33.43/33.74  (step t238 (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 (t237))
% 33.43/33.74  (step t239 (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)
% 33.43/33.74  (step t240 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (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)
% 33.43/33.74  (step t241 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk4))) (not (tptp.ssItem (tptp.skaf83 tptp.sk4))))) :rule refl)
% 33.43/33.74  (step t242 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk4))) (not (tptp.ssList (tptp.skaf82 tptp.sk4))))) :rule refl)
% 33.43/33.74  (step t243 (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)
% 33.43/33.74  (step t244 (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 (t241 t242 t243))
% 33.43/33.74  (step t245 (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 (t240 t244))
% 33.43/33.74  (step t246 (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)
% 33.43/33.74  (anchor :step t247)
% 33.43/33.74  (assume t247.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)))))
% 33.43/33.74  (step t247.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))))
% 33.43/33.74  (step t247.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 (t247.t1))
% 33.43/33.74  (step t247.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 (t247.t2 t247.a0))
% 33.43/33.74  (step t247 (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 (t247.a0))
% 33.43/33.74  (step t248 (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 (t246 t247))
% 33.43/33.74  (step t249 (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)
% 33.43/33.74  (step t250 (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 (t248 t249))
% 33.43/33.74  (step t251 (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 (t250))
% 33.43/33.74  (step t252 (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 (t239 t245 t251))
% 33.43/33.74  (step t253 (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 (t252))
% 33.43/33.74  (step t254 (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 (t253 a119))
% 33.43/33.74  (step t255 (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 (t238 t214 t204 t254))
% 33.43/33.74  (step t256 (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)
% 33.43/33.74  (step t257 (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 (t256))
% 33.43/33.74  (step t258 (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)
% 33.43/33.74  (anchor :step t259)
% 33.43/33.74  (assume t259.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 33.43/33.74  (step t259.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))))
% 33.43/33.74  (step t259.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 (t259.t1))
% 33.43/33.74  (step t259.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 (t259.t2 t259.a0))
% 33.43/33.74  (step t259 (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 (t259.a0))
% 33.43/33.74  (step t260 (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 (t258 t259))
% 33.43/33.74  (step t261 (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)
% 33.43/33.74  (step t262 (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 (t260 t261))
% 33.43/33.74  (step t263 (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 (t262))
% 33.43/33.74  (step t264 (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 (t263))
% 33.43/33.74  (step t265 (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)
% 33.43/33.74  (anchor :step t266 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 33.43/33.74  (step t266.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t266.t2 (cl (= V V)) :rule refl)
% 33.43/33.74  (step t266.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 33.43/33.74  (step t266.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 33.43/33.74  (step t266.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 33.43/33.74  (step t266.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 (t266.t3 t266.t4 t266.t5))
% 33.43/33.74  (step t266 (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)
% 33.43/33.74  (step t267 (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 (t265 t266 a96))
% 33.43/33.74  (step t268 (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 (t264 t267))
% 33.43/33.74  (step t269 (cl (= (tptp.skaf83 tptp.sk4) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))))) :rule resolution :premises (t257 t214 t204 t268))
% 33.43/33.74  (step t270 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or_pos)
% 33.43/33.74  (step t271 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule reordering :premises (t270))
% 33.43/33.74  (step t272 (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)
% 33.43/33.74  (step t273 (cl (tptp.ssItem (tptp.hd tptp.sk4)) (not (tptp.ssList tptp.sk4)) (= tptp.nil tptp.sk4) (not (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t272))
% 33.43/33.74  (step t274 (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)
% 33.43/33.74  (anchor :step t275)
% 33.43/33.74  (assume t275.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 33.43/33.74  (step t275.t1 (cl (or (not (forall ((U $$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)))
% 33.43/33.74  (step t275.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule or :premises (t275.t1))
% 33.43/33.74  (step t275.t3 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t275.t2 t275.a0))
% 33.43/33.74  (step t275 (cl (not (forall ((U $$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 (t275.a0))
% 33.43/33.74  (step t276 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t274 t275))
% 33.43/33.74  (step t277 (cl (=> (forall ((U $$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)
% 33.43/33.74  (step t278 (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 (t276 t277))
% 33.43/33.74  (step t279 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule contraction :premises (t278))
% 33.43/33.74  (step t280 (cl (not (forall ((U $$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 (t279))
% 33.43/33.74  (step t281 (cl (or (not (tptp.ssList tptp.sk4)) (tptp.ssItem (tptp.hd tptp.sk4)) (= tptp.nil tptp.sk4))) :rule resolution :premises (t280 a75))
% 33.43/33.74  (step t282 (cl (tptp.ssItem (tptp.hd tptp.sk4))) :rule resolution :premises (t273 a188 t184 t281))
% 33.43/33.74  (step t283 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t284)
% 33.43/33.74  (assume t284.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 33.43/33.74  (step t284.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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4)) (:= V tptp.nil)))
% 33.43/33.74  (step t284.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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule or :premises (t284.t1))
% 33.43/33.74  (step t284.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t284.t2 t284.a0))
% 33.43/33.74  (step t284 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule subproof :discharge (t284.a0))
% 33.43/33.74  (step t285 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t283 t284))
% 33.43/33.74  (step t286 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule implies_neg2)
% 33.43/33.74  (step t287 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) (=> (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule resolution :premises (t285 t286))
% 33.43/33.74  (step t288 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))))) :rule contraction :premises (t287))
% 33.43/33.74  (step t289 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies :premises (t288))
% 33.43/33.74  (step t290 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t289 t267))
% 33.43/33.74  (step t291 (cl (= (tptp.hd tptp.sk4) (tptp.hd (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t271 a7 t282 t290))
% 33.43/33.74  (step t292 (cl (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule or_pos)
% 33.43/33.74  (step t293 (cl (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)) (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule reordering :premises (t292))
% 33.43/33.74  (step t294 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t295)
% 33.43/33.74  (assume t295.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 33.43/33.74  (step t295.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule forall_inst :args ((:= U tptp.sk3)))
% 33.43/33.74  (step t295.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule or :premises (t295.t1))
% 33.43/33.74  (step t295.t3 (cl (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t295.t2 t295.a0))
% 33.43/33.74  (step t295 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule subproof :discharge (t295.a0))
% 33.43/33.74  (step t296 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t294 t295))
% 33.43/33.74  (step t297 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (not (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule implies_neg2)
% 33.43/33.74  (step t298 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule resolution :premises (t296 t297))
% 33.43/33.74  (step t299 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))))) :rule contraction :premises (t298))
% 33.43/33.74  (step t300 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule implies :premises (t299))
% 33.43/33.74  (step t301 (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)
% 33.43/33.74  (anchor :step t302 :args ((U $$unsorted) (:= U U)))
% 33.43/33.74  (step t302.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t302.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 33.43/33.74  (step t302.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 33.43/33.74  (step t302.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t302.t2 t302.t3))
% 33.43/33.74  (step t302 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 33.43/33.74  (step t303 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t301 t302 a73))
% 33.43/33.74  (step t304 (cl (or (not (tptp.ssList tptp.sk3)) (= tptp.sk3 (tptp.app tptp.nil tptp.sk3)))) :rule resolution :premises (t300 t303))
% 33.43/33.74  (step t305 (cl (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) :rule resolution :premises (t293 a187 t304))
% 33.43/33.74  (step t306 (cl (not (= (or (not (tptp.singletonP tptp.sk1)) (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (tptp.singletonP tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil))))) (not (or (not (tptp.singletonP tptp.sk1)) (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (not (tptp.singletonP tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule equiv_pos2)
% 33.43/33.74  (step t307 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t178))
% 33.43/33.74  (step t308 (cl (= (tptp.singletonP tptp.sk1) (tptp.singletonP tptp.sk3))) :rule cong :premises (t307))
% 33.43/33.74  (step t309 (cl (= (not (tptp.singletonP tptp.sk1)) (not (tptp.singletonP tptp.sk3)))) :rule cong :premises (t308))
% 33.43/33.74  (step t310 (cl (= tptp.sk2 tptp.sk4)) :rule and :premises (t178))
% 33.43/33.74  (step t311 (cl (= (tptp.segmentP tptp.sk2 tptp.sk1) (tptp.segmentP tptp.sk4 tptp.sk3))) :rule cong :premises (t310 t307))
% 33.43/33.74  (step t312 (cl (= (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.segmentP tptp.sk4 tptp.sk3)))) :rule cong :premises (t311))
% 33.43/33.74  (step t313 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 33.43/33.74  (step t314 (cl (= (or (not (tptp.singletonP tptp.sk1)) (not (tptp.segmentP tptp.sk2 tptp.sk1)) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (tptp.singletonP tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t309 t312 t313))
% 33.43/33.74  (step t315 (cl (or (not (tptp.singletonP tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule resolution :premises (t306 t314 a196))
% 33.43/33.74  (step t316 (cl (not (tptp.singletonP tptp.sk3)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.neq tptp.sk4 tptp.nil))) :rule or :premises (t315))
% 33.43/33.74  (step t317 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.segmentP tptp.sk4 tptp.sk3)) (not (tptp.singletonP tptp.sk3))) :rule reordering :premises (t316))
% 33.43/33.74  (step t318 (cl (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_neg)
% 33.43/33.74  (step t319 (cl (=> (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t320)
% 33.43/33.74  (assume t320.a0 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 33.43/33.74  (assume t320.a1 (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 33.43/33.74  (step t320.t1 (cl (=> (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t320.t2)
% 33.43/33.74  (assume t320.t2.a0 (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 33.43/33.74  (assume t320.t2.a1 (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))
% 33.43/33.74  (step t320.t2.t1 (cl (= (= (tptp.singletonP tptp.sk3) true) (tptp.singletonP tptp.sk3))) :rule equiv_simplify)
% 33.43/33.74  (step t320.t2.t2 (cl (not (= (tptp.singletonP tptp.sk3) true)) (tptp.singletonP tptp.sk3)) :rule equiv1 :premises (t320.t2.t1))
% 33.43/33.74  (step t320.t2.t3 (cl (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) tptp.sk3)) :rule symm :premises (t320.t2.a1))
% 33.43/33.74  (step t320.t2.t4 (cl (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule symm :premises (t320.t2.t3))
% 33.43/33.74  (step t320.t2.t5 (cl (= (tptp.singletonP tptp.sk3) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule cong :premises (t320.t2.t4))
% 33.43/33.74  (step t320.t2.t6 (cl (= (= (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv_simplify)
% 33.43/33.74  (step t320.t2.t7 (cl (= (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true) (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule equiv2 :premises (t320.t2.t6))
% 33.43/33.74  (step t320.t2.t8 (cl (= (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule resolution :premises (t320.t2.t7 t320.t2.a0))
% 33.43/33.74  (step t320.t2.t9 (cl (= (tptp.singletonP tptp.sk3) true)) :rule trans :premises (t320.t2.t5 t320.t2.t8))
% 33.43/33.74  (step t320.t2.t10 (cl (tptp.singletonP tptp.sk3)) :rule resolution :premises (t320.t2.t2 t320.t2.t9))
% 33.43/33.74  (step t320.t2 (cl (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) :rule subproof :discharge (t320.t2.a0 t320.t2.a1))
% 33.43/33.74  (step t320.t3 (cl (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t320.t4 (cl (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t320.t5 (cl (tptp.singletonP tptp.sk3) (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t320.t2 t320.t3 t320.t4))
% 33.43/33.74  (step t320.t6 (cl (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP tptp.sk3)) :rule reordering :premises (t320.t5))
% 33.43/33.74  (step t320.t7 (cl (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP tptp.sk3)) :rule contraction :premises (t320.t6))
% 33.43/33.74  (step t320.t8 (cl (=> (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (tptp.singletonP tptp.sk3)) :rule resolution :premises (t320.t1 t320.t7))
% 33.43/33.74  (step t320.t9 (cl (=> (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (not (tptp.singletonP tptp.sk3))) :rule implies_neg2)
% 33.43/33.74  (step t320.t10 (cl (=> (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (=> (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3))) :rule resolution :premises (t320.t8 t320.t9))
% 33.43/33.74  (step t320.t11 (cl (=> (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3))) :rule contraction :premises (t320.t10))
% 33.43/33.74  (step t320.t12 (cl (not (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP tptp.sk3)) :rule implies :premises (t320.t11))
% 33.43/33.74  (step t320.t13 (cl (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule and_neg)
% 33.43/33.74  (step t320.t14 (cl (and (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t320.t13 t320.a1 t320.a0))
% 33.43/33.74  (step t320.t15 (cl (tptp.singletonP tptp.sk3)) :rule resolution :premises (t320.t12 t320.t14))
% 33.43/33.74  (step t320 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) :rule subproof :discharge (t320.a0 t320.a1))
% 33.43/33.74  (step t321 (cl (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t322 (cl (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule and_pos)
% 33.43/33.74  (step t323 (cl (tptp.singletonP tptp.sk3) (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t320 t321 t322))
% 33.43/33.74  (step t324 (cl (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP tptp.sk3)) :rule reordering :premises (t323))
% 33.43/33.74  (step t325 (cl (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP tptp.sk3)) :rule contraction :premises (t324))
% 33.43/33.74  (step t326 (cl (=> (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (tptp.singletonP tptp.sk3)) :rule resolution :premises (t319 t325))
% 33.43/33.74  (step t327 (cl (=> (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (not (tptp.singletonP tptp.sk3))) :rule implies_neg2)
% 33.43/33.74  (step t328 (cl (=> (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) (=> (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3))) :rule resolution :premises (t326 t327))
% 33.43/33.74  (step t329 (cl (=> (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3))) :rule contraction :premises (t328))
% 33.43/33.74  (step t330 (cl (not (and (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (tptp.singletonP tptp.sk3)) :rule implies :premises (t329))
% 33.43/33.74  (step t331 (cl (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP tptp.sk3)) :rule resolution :premises (t318 t330))
% 33.43/33.74  (step t332 (cl (tptp.singletonP tptp.sk3) (not (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule reordering :premises (t331))
% 33.43/33.74  (step t333 (cl (not (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))))) :rule equiv_pos2)
% 33.43/33.74  (anchor :step t334 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B)))
% 33.43/33.74  (step t334.t1 (cl (= A A)) :rule refl)
% 33.43/33.74  (step t334.t2 (cl (= B B)) :rule refl)
% 33.43/33.74  (step t334.t3 (cl (= (not (tptp.ssList A)) (not (tptp.ssList A)))) :rule refl)
% 33.43/33.74  (step t334.t4 (cl (= (= tptp.sk3 A) (= tptp.sk3 A))) :rule refl)
% 33.43/33.74  (step t334.t5 (cl (= (not (tptp.ssItem B)) (not (tptp.ssItem B)))) :rule refl)
% 33.43/33.74  (step t334.t6 (cl (= (= (tptp.cons B tptp.nil) A) (= A (tptp.cons B tptp.nil)))) :rule all_simplify)
% 33.43/33.74  (step t334.t7 (cl (= (not (= (tptp.cons B tptp.nil) A)) (not (= A (tptp.cons B tptp.nil))))) :rule cong :premises (t334.t6))
% 33.43/33.74  (step t334.t8 (cl (= (not (= (tptp.hd tptp.sk4) B)) (not (= (tptp.hd tptp.sk4) B)))) :rule refl)
% 33.43/33.74  (step t334.t9 (cl (= (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.nil tptp.sk4)))) :rule refl)
% 33.43/33.74  (step t334.t10 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 33.43/33.74  (step t334.t11 (cl (= (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil))))) :rule cong :premises (t334.t3 t334.t4 t334.t5 t334.t7 t334.t8 t334.t9 t334.t10))
% 33.43/33.74  (step t334 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))))) :rule bind)
% 33.43/33.74  (step t335 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B))))))) :rule all_simplify)
% 33.43/33.74  (step t336 (cl (= (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.nil tptp.sk4)))) :rule refl)
% 33.43/33.74  (step t337 (cl (= (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.sk4 tptp.nil)))) :rule refl)
% 33.43/33.74  (step t338 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4)))))) :rule all_simplify)
% 33.43/33.74  (step t339 (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)
% 33.43/33.74  (step t340 (cl (= (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule refl)
% 33.43/33.74  (step t341 (cl (= (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssItem (tptp.hd tptp.sk4))))) :rule refl)
% 33.43/33.74  (step t342 (cl (= (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) true)) :rule all_simplify)
% 33.43/33.74  (step t343 (cl (= (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not true))) :rule cong :premises (t342))
% 33.43/33.74  (step t344 (cl (= (not true) false)) :rule all_simplify)
% 33.43/33.74  (step t345 (cl (= (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) false)) :rule trans :premises (t343 t344))
% 33.43/33.74  (step t346 (cl (= (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4)) true)) :rule all_simplify)
% 33.43/33.74  (step t347 (cl (= (not (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4))) (not true))) :rule cong :premises (t346))
% 33.43/33.74  (step t348 (cl (= (not (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4))) false)) :rule trans :premises (t347 t344))
% 33.43/33.74  (step t349 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) false false))) :rule cong :premises (t339 t340 t341 t345 t348))
% 33.43/33.74  (step t350 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) false false) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule all_simplify)
% 33.43/33.74  (step t351 (cl (= (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (= (tptp.cons (tptp.hd tptp.sk4) tptp.nil) (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (= (tptp.hd tptp.sk4) (tptp.hd tptp.sk4)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule trans :premises (t349 t350))
% 33.43/33.74  (step t352 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B)))) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule trans :premises (t338 t351))
% 33.43/33.74  (step t353 (cl (= (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B))))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))))))) :rule cong :premises (t336 t337 t352))
% 33.43/33.74  (step t354 (cl (= (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (or (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule all_simplify)
% 33.43/33.74  (step t355 (cl (= (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B))))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule trans :premises (t353 t354))
% 33.43/33.74  (step t356 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= A (tptp.cons B tptp.nil))) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule trans :premises (t335 t355))
% 33.43/33.74  (step t357 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssItem B)) (not (= (tptp.cons B tptp.nil) A)) (not (= (tptp.hd tptp.sk4) B)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)))) (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))))) :rule trans :premises (t334 t356))
% 33.43/33.74  (step t358 (cl (or (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))))) :rule resolution :premises (t333 t357 a195))
% 33.43/33.74  (step t359 (cl (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))) :rule or :premises (t358))
% 33.43/33.74  (step t360 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.neq tptp.nil tptp.sk4)) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4)))) :rule reordering :premises (t359))
% 33.43/33.74  (step t361 (cl (not (= (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk4))))) (not (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk4)))) :rule equiv_pos2)
% 33.43/33.74  (step t362 (cl (= (= (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4)) true) (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4)))) :rule equiv_simplify)
% 33.43/33.74  (step t363 (cl (not (= (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4)) true)) (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4))) :rule equiv1 :premises (t362))
% 33.43/33.74  (step t364 (cl (= (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4)) (= (tptp.neq tptp.nil tptp.sk4) (not (not (tptp.neq tptp.nil tptp.sk4)))))) :rule all_simplify)
% 33.43/33.74  (step t365 (cl (= (tptp.neq tptp.nil tptp.sk4) (tptp.neq tptp.nil tptp.sk4))) :rule refl)
% 33.43/33.74  (step t366 (cl (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4))) :rule all_simplify)
% 33.43/33.74  (step t367 (cl (= (= (tptp.neq tptp.nil tptp.sk4) (not (not (tptp.neq tptp.nil tptp.sk4)))) (= (tptp.neq tptp.nil tptp.sk4) (tptp.neq tptp.nil tptp.sk4)))) :rule cong :premises (t365 t366))
% 33.43/33.74  (step t368 (cl (= (= (tptp.neq tptp.nil tptp.sk4) (tptp.neq tptp.nil tptp.sk4)) true)) :rule all_simplify)
% 33.43/33.74  (step t369 (cl (= (= (tptp.neq tptp.nil tptp.sk4) (not (not (tptp.neq tptp.nil tptp.sk4)))) true)) :rule trans :premises (t367 t368))
% 33.43/33.74  (step t370 (cl (= (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4)) true)) :rule trans :premises (t364 t369))
% 33.43/33.74  (step t371 (cl (= (not (not (tptp.neq tptp.nil tptp.sk4))) (tptp.neq tptp.nil tptp.sk4))) :rule resolution :premises (t363 t370))
% 33.43/33.74  (step t372 (cl (= (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk4))))) :rule cong :premises (t123 t371 t124))
% 33.43/33.74  (step t373 (cl (not (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))))) (not (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule equiv_pos2)
% 33.43/33.74  (step t374 (cl (= (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule refl)
% 33.43/33.74  (step t375 (cl (= (= (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))))) :rule equiv_simplify)
% 33.43/33.74  (step t376 (cl (= (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (not (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))))) :rule equiv2 :premises (t375))
% 33.43/33.74  (step t377 (cl (not (not (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))))) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule not_not)
% 33.43/33.74  (step t378 (cl (= (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule resolution :premises (t376 t377))
% 33.43/33.74  (step t379 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t380)
% 33.43/33.74  (assume t380.a0 (tptp.neq tptp.sk4 tptp.nil))
% 33.43/33.74  (assume t380.a1 (= tptp.nil tptp.sk4))
% 33.43/33.74  (assume t380.a2 (not (tptp.neq tptp.nil tptp.sk4)))
% 33.43/33.74  (step t380.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 33.43/33.74  (step t380.t2 (cl (= (= false true) false)) :rule all_simplify)
% 33.43/33.74  (step t380.t3 (cl (= (= (tptp.neq tptp.nil tptp.sk4) false) (not (tptp.neq tptp.nil tptp.sk4)))) :rule equiv_simplify)
% 33.43/33.74  (step t380.t4 (cl (= (tptp.neq tptp.nil tptp.sk4) false) (not (not (tptp.neq tptp.nil tptp.sk4)))) :rule equiv2 :premises (t380.t3))
% 33.43/33.74  (step t380.t5 (cl (not (not (not (tptp.neq tptp.nil tptp.sk4)))) (tptp.neq tptp.nil tptp.sk4)) :rule not_not)
% 33.43/33.74  (step t380.t6 (cl (= (tptp.neq tptp.nil tptp.sk4) false) (tptp.neq tptp.nil tptp.sk4)) :rule resolution :premises (t380.t4 t380.t5))
% 33.43/33.74  (step t380.t7 (cl (= (tptp.neq tptp.nil tptp.sk4) false)) :rule resolution :premises (t380.t6 t380.a2))
% 33.43/33.74  (step t380.t8 (cl (= false (tptp.neq tptp.nil tptp.sk4))) :rule symm :premises (t380.t7))
% 33.43/33.74  (step t380.t9 (cl (= tptp.sk4 tptp.nil)) :rule symm :premises (t380.a1))
% 33.43/33.74  (step t380.t10 (cl (= (tptp.neq tptp.nil tptp.sk4) (tptp.neq tptp.sk4 tptp.nil))) :rule cong :premises (t380.a1 t380.t9))
% 33.43/33.74  (step t380.t11 (cl (= (= (tptp.neq tptp.sk4 tptp.nil) true) (tptp.neq tptp.sk4 tptp.nil))) :rule equiv_simplify)
% 33.43/33.74  (step t380.t12 (cl (= (tptp.neq tptp.sk4 tptp.nil) true) (not (tptp.neq tptp.sk4 tptp.nil))) :rule equiv2 :premises (t380.t11))
% 33.43/33.74  (step t380.t13 (cl (= (tptp.neq tptp.sk4 tptp.nil) true)) :rule resolution :premises (t380.t12 t380.a0))
% 33.43/33.74  (step t380.t14 (cl (= false true)) :rule trans :premises (t380.t8 t380.t10 t380.t13))
% 33.43/33.74  (step t380.t15 (cl false) :rule resolution :premises (t380.t1 t380.t2 t380.t14))
% 33.43/33.74  (step t380 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.nil tptp.sk4))) false) :rule subproof :discharge (t380.a0 t380.a1 t380.a2))
% 33.43/33.74  (step t381 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 33.43/33.74  (step t382 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 33.43/33.74  (step t383 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (tptp.neq tptp.nil tptp.sk4))) :rule and_pos)
% 33.43/33.74  (step t384 (cl false (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) :rule resolution :premises (t380 t381 t382 t383))
% 33.43/33.74  (step t385 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) false) :rule reordering :premises (t384))
% 33.43/33.74  (step t386 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) false) :rule contraction :premises (t385))
% 33.43/33.74  (step t387 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) false) :rule resolution :premises (t379 t386))
% 33.43/33.74  (step t388 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (not false)) :rule implies_neg2)
% 33.43/33.74  (step t389 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false)) :rule resolution :premises (t387 t388))
% 33.43/33.74  (step t390 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false)) :rule contraction :premises (t389))
% 33.43/33.74  (step t391 (cl (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))))) :rule implies_simplify)
% 33.43/33.74  (step t392 (cl (not (=> (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false)) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) :rule equiv1 :premises (t391))
% 33.43/33.74  (step t393 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) :rule resolution :premises (t390 t392))
% 33.43/33.74  (step t394 (cl (= (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) false)) :rule resolution :premises (t378 t393))
% 33.43/33.74  (step t395 (cl (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) false))) :rule cong :premises (t374 t394))
% 33.43/33.74  (step t396 (cl (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) false) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))))) :rule all_simplify)
% 33.43/33.74  (step t397 (cl (= (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))))) :rule trans :premises (t395 t396))
% 33.43/33.74  (step t398 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t399)
% 33.43/33.74  (assume t399.a0 (tptp.neq tptp.sk4 tptp.nil))
% 33.43/33.74  (assume t399.a1 (not (tptp.neq tptp.nil tptp.sk4)))
% 33.43/33.74  (assume t399.a2 (= tptp.nil tptp.sk4))
% 33.43/33.74  (step t399.t1 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) (not (tptp.neq tptp.sk4 tptp.nil)) (not (= tptp.nil tptp.sk4)) (not (not (tptp.neq tptp.nil tptp.sk4)))) :rule and_neg)
% 33.43/33.74  (step t399.t2 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule resolution :premises (t399.t1 t399.a0 t399.a2 t399.a1))
% 33.43/33.74  (step t399 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule subproof :discharge (t399.a0 t399.a1 t399.a2))
% 33.43/33.74  (step t400 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (tptp.neq tptp.sk4 tptp.nil)) :rule and_pos)
% 33.43/33.74  (step t401 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (not (tptp.neq tptp.nil tptp.sk4))) :rule and_pos)
% 33.43/33.74  (step t402 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (= tptp.nil tptp.sk4)) :rule and_pos)
% 33.43/33.74  (step t403 (cl (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t399 t400 t401 t402))
% 33.43/33.74  (step t404 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule reordering :premises (t403))
% 33.43/33.74  (step t405 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4))) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule contraction :premises (t404))
% 33.43/33.74  (step t406 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) :rule resolution :premises (t398 t405))
% 33.43/33.74  (step t407 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (not (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) :rule implies_neg2)
% 33.43/33.74  (step t408 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4)))) (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) :rule resolution :premises (t406 t407))
% 33.43/33.74  (step t409 (cl (=> (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)) (and (tptp.neq tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4) (not (tptp.neq tptp.nil tptp.sk4))))) :rule contraction :premises (t408))
% 33.43/33.74  (step t410 (cl (not (and (tptp.neq tptp.sk4 tptp.nil) (not (tptp.neq tptp.nil tptp.sk4)) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t373 t397 t409))
% 33.43/33.74  (step t411 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) :rule not_and :premises (t410))
% 33.43/33.74  (step t412 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (not (not (tptp.neq tptp.sk4 tptp.nil)))) :rule or_neg)
% 33.43/33.74  (step t413 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (not (not (not (tptp.neq tptp.nil tptp.sk4))))) :rule or_neg)
% 33.43/33.74  (step t414 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (not (not (= tptp.nil tptp.sk4)))) :rule or_neg)
% 33.43/33.74  (step t415 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t411 t412 t413 t414))
% 33.43/33.74  (step t416 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (not (tptp.neq tptp.nil tptp.sk4))) (not (= tptp.nil tptp.sk4)))) :rule contraction :premises (t415))
% 33.43/33.74  (step t417 (cl (or (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk4)))) :rule resolution :premises (t361 t372 t416))
% 33.43/33.74  (step t418 (cl (not (tptp.neq tptp.sk4 tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk4))) :rule or :premises (t417))
% 33.43/33.74  (step t419 (cl (not (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4))) (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4)) :rule or_pos)
% 33.43/33.74  (step t420 (cl (tptp.neq tptp.nil tptp.sk4) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk4)) (= tptp.nil tptp.sk4) (not (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4)))) :rule reordering :premises (t419))
% 33.43/33.74  (step t421 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) (=> (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4))))) (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil)))) (=> (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4)))) :rule equiv_pos2)
% 33.43/33.74  (step t422 (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)
% 33.43/33.74  (step t423 (cl (= (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.sk4)))) :rule refl)
% 33.43/33.74  (step t424 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 33.43/33.74  (step t425 (cl (= (= tptp.sk4 tptp.nil) (= tptp.nil tptp.sk4))) :rule all_simplify)
% 33.43/33.74  (step t426 (cl (= (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil)) (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4)))) :rule cong :premises (t423 t424 t365 t425))
% 33.43/33.74  (step t427 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) (=> (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4))))) :rule cong :premises (t422 t426))
% 33.43/33.74  (step t428 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t429)
% 33.43/33.74  (assume t429.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))
% 33.43/33.74  (step t429.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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil)))) :rule forall_inst :args ((:= U tptp.sk4) (:= V tptp.nil)))
% 33.43/33.74  (step t429.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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) :rule or :premises (t429.t1))
% 33.43/33.74  (step t429.t3 (cl (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) :rule resolution :premises (t429.t2 t429.a0))
% 33.43/33.74  (step t429 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) :rule subproof :discharge (t429.a0))
% 33.43/33.74  (step t430 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) :rule resolution :premises (t428 t429))
% 33.43/33.74  (step t431 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) (not (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil)))) :rule implies_neg2)
% 33.43/33.74  (step t432 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil))) (=> (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil)))) :rule resolution :premises (t430 t431))
% 33.43/33.74  (step t433 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.sk4 tptp.nil)))) :rule contraction :premises (t432))
% 33.43/33.74  (step t434 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4)))) :rule resolution :premises (t421 t427 t433))
% 33.43/33.74  (step t435 (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.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4))) :rule implies :premises (t434))
% 33.43/33.74  (step t436 (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)
% 33.43/33.74  (anchor :step t437 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 33.43/33.74  (step t437.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t437.t2 (cl (= V V)) :rule refl)
% 33.43/33.74  (step t437.t3 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 33.43/33.74  (step t437.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 33.43/33.74  (step t437.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 33.43/33.74  (step t437.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 33.43/33.74  (step t437.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 (t437.t3 t437.t4 t437.t5 t437.t6))
% 33.43/33.74  (step t437 (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)
% 33.43/33.74  (step t438 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t436 t437 a99))
% 33.43/33.74  (step t439 (cl (or (not (tptp.ssList tptp.sk4)) (not (tptp.ssList tptp.nil)) (tptp.neq tptp.nil tptp.sk4) (= tptp.nil tptp.sk4))) :rule resolution :premises (t435 t438))
% 33.43/33.74  (step t440 (cl (tptp.neq tptp.nil tptp.sk4) (tptp.neq tptp.nil tptp.sk4)) :rule resolution :premises (t418 t183 t420 t439 a188 a7))
% 33.43/33.74  (step t441 (cl (tptp.neq tptp.nil tptp.sk4)) :rule contraction :premises (t440))
% 33.43/33.74  (step t442 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 33.43/33.74  (step t443 (cl (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t442))
% 33.43/33.74  (step t444 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd 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)
% 33.43/33.74  (anchor :step t445)
% 33.43/33.74  (assume t445.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 33.43/33.74  (step t445.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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4)) (:= V tptp.nil)))
% 33.43/33.74  (step t445.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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t445.t1))
% 33.43/33.74  (step t445.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t445.t2 t445.a0))
% 33.43/33.74  (step t445 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t445.a0))
% 33.43/33.74  (step t446 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t444 t445))
% 33.43/33.74  (step t447 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 33.43/33.74  (step t448 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd 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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t446 t447))
% 33.43/33.74  (step t449 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t448))
% 33.43/33.74  (step t450 (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.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t449))
% 33.43/33.74  (step t451 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t450 a85))
% 33.43/33.74  (step t452 (cl (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t443 a7 t282 t451))
% 33.43/33.74  (step t453 (cl (= tptp.sk3 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t360 t183 t441 t452 t282))
% 33.43/33.74  (step t454 (cl (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule or_pos)
% 33.43/33.74  (step t455 (cl (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (not (tptp.ssItem (tptp.hd tptp.sk4))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule reordering :premises (t454))
% 33.43/33.74  (step t456 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) :rule implies_neg1)
% 33.43/33.74  (anchor :step t457)
% 33.43/33.74  (assume t457.a0 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))))
% 33.43/33.74  (step t457.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule forall_inst :args ((:= U (tptp.hd tptp.sk4))))
% 33.43/33.74  (step t457.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule or :premises (t457.t1))
% 33.43/33.74  (step t457.t3 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t457.t2 t457.a0))
% 33.43/33.74  (step t457 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule subproof :discharge (t457.a0))
% 33.43/33.74  (step t458 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t456 t457))
% 33.43/33.74  (step t459 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (not (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule implies_neg2)
% 33.43/33.74  (step t460 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule resolution :premises (t458 t459))
% 33.43/33.74  (step t461 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))))) :rule contraction :premises (t460))
% 33.43/33.74  (step t462 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule implies :premises (t461))
% 33.43/33.74  (step t463 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) :rule equiv_pos2)
% 33.43/33.74  (anchor :step t464 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 33.43/33.74  (step t464.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t464.t2 (cl (= V V)) :rule refl)
% 33.43/33.74  (step t464.t3 (cl (= (= (tptp.cons U tptp.nil) V) (= V (tptp.cons U tptp.nil)))) :rule all_simplify)
% 33.43/33.74  (step t464.t4 (cl (= (not (= (tptp.cons U tptp.nil) V)) (not (= V (tptp.cons U tptp.nil))))) :rule cong :premises (t464.t3))
% 33.43/33.74  (step t464.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 33.43/33.74  (step t464.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 33.43/33.74  (step t464.t7 (cl (= (tptp.singletonP V) (tptp.singletonP V))) :rule refl)
% 33.43/33.74  (step t464.t8 (cl (= (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V)) (or (not (= V (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V)))) :rule cong :premises (t464.t4 t464.t5 t464.t6 t464.t7))
% 33.43/33.74  (step t464 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= V (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))) :rule bind)
% 33.43/33.74  (step t465 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= V (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted)) (or (not (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))))) :rule all_simplify)
% 33.43/33.74  (anchor :step t466 :args ((U $$unsorted) (:= U U)))
% 33.43/33.74  (step t466.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t466.t2 (cl (= (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil)) true)) :rule all_simplify)
% 33.43/33.74  (step t466.t3 (cl (= (not (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil))) (not true))) :rule cong :premises (t466.t2))
% 33.43/33.74  (step t466.t4 (cl (= (not (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil))) false)) :rule trans :premises (t466.t3 t344))
% 33.43/33.74  (step t466.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 33.43/33.74  (step t466.t6 (cl (= (not (tptp.ssList (tptp.cons U tptp.nil))) (not (tptp.ssList (tptp.cons U tptp.nil))))) :rule refl)
% 33.43/33.74  (step t466.t7 (cl (= (tptp.singletonP (tptp.cons U tptp.nil)) (tptp.singletonP (tptp.cons U tptp.nil)))) :rule refl)
% 33.43/33.74  (step t466.t8 (cl (= (or (not (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))) (or false (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) :rule cong :premises (t466.t4 t466.t5 t466.t6 t466.t7))
% 33.43/33.74  (step t466.t9 (cl (= (or false (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) :rule all_simplify)
% 33.43/33.74  (step t466.t10 (cl (= (or (not (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) :rule trans :premises (t466.t8 t466.t9))
% 33.43/33.74  (step t466 (cl (= (forall ((U $$unsorted)) (or (not (= (tptp.cons U tptp.nil) (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))))) :rule bind)
% 33.43/33.74  (step t467 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= V (tptp.cons U tptp.nil))) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))))) :rule trans :premises (t465 t466))
% 33.43/33.74  (step t468 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil)))))) :rule trans :premises (t464 t467))
% 33.43/33.74  (step t469 (cl (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList (tptp.cons U tptp.nil))) (tptp.singletonP (tptp.cons U tptp.nil))))) :rule resolution :premises (t463 t468 a115))
% 33.43/33.74  (step t470 (cl (or (not (tptp.ssItem (tptp.hd tptp.sk4))) (not (tptp.ssList (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil)))) :rule resolution :premises (t462 t469))
% 33.43/33.74  (step t471 (cl (tptp.singletonP (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) :rule resolution :premises (t455 t452 t282 t470))
% 33.43/33.74  (step t472 (cl (tptp.singletonP tptp.sk3)) :rule resolution :premises (t332 t453 t471))
% 33.43/33.74  (step t473 (cl (not (tptp.segmentP tptp.sk4 tptp.sk3))) :rule resolution :premises (t317 t183 t472))
% 33.43/33.74  (step t474 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule equiv_pos2)
% 33.43/33.74  (anchor :step t475 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 33.43/33.74  (step t475.t1 (cl (= U U)) :rule refl)
% 33.43/33.74  (step t475.t2 (cl (= V V)) :rule refl)
% 33.43/33.74  (step t475.t3 (cl (= (not (= tptp.nil U)) (not (= tptp.nil U)))) :rule refl)
% 33.43/33.74  (step t475.t4 (cl (= (not (= tptp.nil V)) (not (= tptp.nil V)))) :rule refl)
% 33.43/33.74  (step t475.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 33.43/33.74  (step t475.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 33.43/33.74  (step t475.t7 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 33.43/33.74  (step t475.t8 (cl (= (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V))))) :rule cong :premises (t475.t3 t475.t4 t475.t5 t475.t6 t475.t7))
% 33.43/33.74  (step t475 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))))) :rule bind)
% 33.43/33.74  (step t476 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 33.43/33.74  (step t477 (cl (= (= tptp.nil tptp.nil) true)) :rule all_simplify)
% 33.43/33.74  (step t478 (cl (= (not (= tptp.nil tptp.nil)) (not true))) :rule cong :premises (t477))
% 33.43/33.74  (step t479 (cl (= (not (= tptp.nil tptp.nil)) false)) :rule trans :premises (t478 t344))
% 33.43/33.74  (step t480 (cl (= (= tptp.nil (tptp.app tptp.nil tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule refl)
% 33.43/33.74  (step t481 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule cong :premises (t479 t479 t424 t424 t480))
% 33.43/33.74  (step t482 (cl (= (or false false (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule all_simplify)
% 33.43/33.74  (step t483 (cl (= (or (not (= tptp.nil tptp.nil)) (not (= tptp.nil tptp.nil)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t481 t482))
% 33.43/33.74  (step t484 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil (tptp.app U V)))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t476 t483))
% 33.43/33.74  (step t485 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))))) :rule trans :premises (t475 t484))
% 33.43/33.74  (step t486 (cl (or (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil)))) :rule resolution :premises (t474 t485 a144))
% 33.43/33.74  (step t487 (cl (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule or :premises (t486))
% 33.43/33.74  (step t488 (cl (= tptp.nil (tptp.app tptp.nil tptp.nil))) :rule resolution :premises (t487 a7))
% 33.43/33.74  (step t489 (cl) :rule resolution :premises (t89 t236 t255 t226 t269 t291 t196 t305 t473 t453 t488))
% 33.43/33.74  
% 33.43/33.74  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.iFtHfAxvDj/cvc5---1.0.5_3060.smt2
% 33.43/33.74  % cvc5---1.0.5 exiting
% 33.43/33.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------