TSTP Solution File: SWC171-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC171-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:00:46 EDT 2024
% Result : Unsatisfiable 48.48s 48.73s
% Output : Proof 48.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : SWC171-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 26 15:03:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.74 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.52/15.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.52/20.80 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.74/25.99 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.87/31.08 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.92/36.12 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.98/41.18 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.11/46.38 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.48/48.73 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.vQNWQLdIJ3/cvc5---1.0.5_9280.smt2
% 48.48/48.73 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.vQNWQLdIJ3/cvc5---1.0.5_9280.smt2
% 48.61/48.84 (assume a0 (tptp.equalelemsP tptp.nil))
% 48.61/48.84 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 48.61/48.84 (assume a2 (tptp.strictorderedP tptp.nil))
% 48.61/48.84 (assume a3 (tptp.totalorderedP tptp.nil))
% 48.61/48.84 (assume a4 (tptp.strictorderP tptp.nil))
% 48.61/48.84 (assume a5 (tptp.totalorderP tptp.nil))
% 48.61/48.84 (assume a6 (tptp.cyclefreeP tptp.nil))
% 48.61/48.84 (assume a7 (tptp.ssList tptp.nil))
% 48.61/48.84 (assume a8 (tptp.ssItem tptp.skac3))
% 48.61/48.84 (assume a9 (tptp.ssItem tptp.skac2))
% 48.61/48.84 (assume a10 (not (tptp.singletonP tptp.nil)))
% 48.61/48.84 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 48.61/48.84 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 48.61/48.84 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 48.61/48.84 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 48.61/48.84 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 48.61/48.84 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 48.61/48.84 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 48.61/48.84 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 48.61/48.84 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 48.61/48.84 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 48.61/48.84 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 48.61/48.84 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 48.61/48.84 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 48.61/48.84 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 48.61/48.84 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 48.61/48.84 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 48.61/48.84 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 48.61/48.84 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 48.61/48.84 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 48.61/48.84 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 48.61/48.84 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 48.61/48.84 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 48.61/48.84 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 48.61/48.84 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 48.61/48.84 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 48.61/48.84 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 48.61/48.84 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 48.61/48.84 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 48.61/48.84 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 48.61/48.84 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 48.61/48.84 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 48.61/48.84 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 48.61/48.84 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 48.61/48.84 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 48.61/48.84 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 48.61/48.84 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 48.61/48.84 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 48.61/48.84 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 48.61/48.84 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 48.61/48.84 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 48.61/48.84 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 48.61/48.84 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 48.61/48.84 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 48.61/48.84 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 48.61/48.84 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 48.61/48.84 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 48.61/48.84 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 48.61/48.84 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 48.61/48.84 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 48.61/48.84 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 48.61/48.84 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 48.61/48.84 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 48.61/48.84 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 48.61/48.84 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 48.61/48.84 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 48.61/48.84 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 48.61/48.84 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 48.61/48.84 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 48.61/48.84 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 48.61/48.84 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 48.61/48.84 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 48.61/48.84 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 48.61/48.84 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.61/48.84 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 48.61/48.84 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.61/48.84 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 48.61/48.84 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.61/48.84 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 48.61/48.84 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 48.61/48.84 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 48.61/48.84 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 48.61/48.84 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 48.61/48.84 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 48.61/48.84 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 48.61/48.84 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 48.61/48.84 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 48.61/48.84 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 48.61/48.84 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 48.61/48.84 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 48.61/48.84 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 48.61/48.84 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 48.61/48.84 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 48.61/48.84 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 48.61/48.84 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 48.61/48.84 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 48.61/48.84 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 48.61/48.84 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 48.61/48.84 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 48.61/48.84 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 48.61/48.84 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 48.61/48.84 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 48.61/48.84 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 48.61/48.84 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 48.61/48.84 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 48.61/48.84 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 48.61/48.84 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.61/48.84 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 48.61/48.84 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 48.61/48.84 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 48.61/48.84 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 48.61/48.84 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 48.61/48.84 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 48.61/48.84 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 48.61/48.84 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 48.61/48.84 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 48.61/48.84 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 48.61/48.84 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 48.61/48.84 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 48.61/48.84 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 48.61/48.84 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 48.61/48.84 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 48.61/48.84 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 48.61/48.84 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 48.61/48.84 (assume a135 (forall ((U $$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))))
% 48.61/48.84 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 48.61/48.84 (assume a137 (forall ((U $$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))))
% 48.61/48.84 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 48.61/48.84 (assume a139 (forall ((U $$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))))
% 48.61/48.84 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 48.61/48.84 (assume a141 (forall ((U $$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))))
% 48.61/48.84 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 48.61/48.84 (assume a143 (forall ((U $$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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 48.61/48.84 (assume a146 (forall ((U $$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))))
% 48.61/48.84 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 48.61/48.84 (assume a148 (forall ((U $$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))))))
% 48.61/48.84 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 48.61/48.84 (assume a150 (forall ((U $$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))))
% 48.61/48.84 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 48.61/48.84 (assume a152 (forall ((U $$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))))
% 48.61/48.84 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 48.61/48.84 (assume a154 (forall ((U $$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))))
% 48.61/48.84 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 48.61/48.84 (assume a156 (forall ((U $$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)))))
% 48.61/48.84 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 48.61/48.84 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 48.61/48.84 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 48.61/48.84 (assume a160 (forall ((U $$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))))
% 48.61/48.84 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 48.61/48.84 (assume a162 (forall ((U $$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))))
% 48.61/48.84 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 48.61/48.84 (assume a164 (forall ((U $$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))))
% 48.61/48.84 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 48.61/48.84 (assume a166 (forall ((U $$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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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)))))
% 48.61/48.84 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 48.61/48.84 (assume a179 (forall ((U $$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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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))))
% 48.61/48.84 (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)))))
% 48.61/48.84 (assume a185 (tptp.ssList tptp.sk1))
% 48.61/48.84 (assume a186 (tptp.ssList tptp.sk2))
% 48.61/48.84 (assume a187 (tptp.ssList tptp.sk3))
% 48.61/48.84 (assume a188 (tptp.ssList tptp.sk4))
% 48.61/48.84 (assume a189 (= tptp.sk2 tptp.sk4))
% 48.61/48.84 (assume a190 (= tptp.sk1 tptp.sk3))
% 48.61/48.84 (assume a191 (tptp.ssItem tptp.sk5))
% 48.61/48.84 (assume a192 (tptp.ssItem tptp.sk6))
% 48.61/48.84 (assume a193 (tptp.ssList tptp.sk7))
% 48.61/48.84 (assume a194 (tptp.ssList tptp.sk8))
% 48.61/48.84 (assume a195 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) tptp.sk1))
% 48.61/48.84 (assume a196 (not (tptp.neq tptp.sk5 tptp.sk6)))
% 48.61/48.84 (assume a197 (or (tptp.ssItem tptp.sk9) (= tptp.nil tptp.sk4)))
% 48.61/48.84 (assume a198 (or (tptp.ssItem tptp.sk9) (= tptp.nil tptp.sk3)))
% 48.61/48.84 (assume a199 (or (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk4)))
% 48.61/48.84 (assume a200 (or (tptp.memberP tptp.sk4 tptp.sk9) (= tptp.nil tptp.sk4)))
% 48.61/48.84 (assume a201 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk9 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk9 A)) (= tptp.nil tptp.sk4))))
% 48.61/48.84 (assume a202 (or (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)))
% 48.61/48.84 (assume a203 (or (tptp.memberP tptp.sk4 tptp.sk9) (= tptp.nil tptp.sk3)))
% 48.61/48.84 (assume a204 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk9 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk9 A)) (= tptp.nil tptp.sk3))))
% 48.61/48.84 (step t1 (cl (not (= (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_pos2)
% 48.61/48.84 (step t2 (cl (= (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t3 (cl (= (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk5 tptp.sk6)))) :rule refl)
% 48.61/48.84 (step t4 (cl (= (not (= tptp.nil tptp.sk7)) (not (= tptp.nil tptp.sk7)))) :rule refl)
% 48.61/48.84 (step t5 (cl (= (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t6 (cl (= (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t7 (cl (= (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 48.61/48.84 (step t8 (cl (= (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 48.61/48.84 (step t9 (cl (= (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t10 (cl (= (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t11 (cl (= (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule refl)
% 48.61/48.84 (step t12 (cl (= (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true) (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t13 (cl (not (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true)) (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t12))
% 48.61/48.84 (step t14 (cl (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.61/48.84 (step t15 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t16 (cl (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.61/48.84 (step t17 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t15 t16))
% 48.61/48.84 (step t18 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule all_simplify)
% 48.61/48.84 (step t19 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) true)) :rule trans :premises (t17 t18))
% 48.61/48.84 (step t20 (cl (= (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t14 t19))
% 48.61/48.84 (step t21 (cl (= (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t13 t20))
% 48.61/48.84 (step t22 (cl (= (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t21))
% 48.61/48.84 (step t23 (cl (not (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) (not (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_pos2)
% 48.61/48.84 (step t24 (cl (= (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule refl)
% 48.61/48.84 (step t25 (cl (= (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_simplify)
% 48.61/48.84 (step t26 (cl (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (not (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv2 :premises (t25))
% 48.61/48.84 (step t27 (cl (not (not (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule not_not)
% 48.61/48.84 (step t28 (cl (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t26 t27))
% 48.61/48.84 (step t29 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t30)
% 48.61/48.84 (assume t30.a0 (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t30.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t30.a2 (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))
% 48.61/48.84 (assume t30.a3 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t30.a4 (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t30.a5 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)))
% 48.61/48.84 (assume t30.a6 (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))
% 48.61/48.84 (assume t30.a7 (= tptp.nil tptp.sk7))
% 48.61/48.84 (assume t30.a8 (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (assume t30.a9 (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (assume t30.a10 (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t30.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 48.61/48.84 (step t30.t2 (cl (= (= true false) false)) :rule all_simplify)
% 48.61/48.84 (step t30.t3 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t30.t4 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) true) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t30.t3))
% 48.61/48.84 (step t30.t5 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) true)) :rule resolution :premises (t30.t4 t30.a10))
% 48.61/48.84 (step t30.t6 (cl (= true (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t30.t5))
% 48.61/48.84 (step t30.t7 (cl (= (tptp.hd (tptp.cons tptp.sk9 tptp.nil)) tptp.sk9)) :rule symm :premises (t30.a6))
% 48.61/48.84 (step t30.t8 (cl (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule symm :premises (t30.t7))
% 48.61/48.84 (step t30.t9 (cl (= (tptp.cons tptp.sk9 tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t30.a5))
% 48.61/48.84 (step t30.t10 (cl (= (tptp.hd (tptp.cons tptp.sk9 tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t30.t9))
% 48.61/48.84 (step t30.t11 (cl (= tptp.sk9 (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t30.t8 t30.t10))
% 48.61/48.84 (step t30.t12 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.61/48.84 (step t30.t13 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t30.a1))
% 48.61/48.84 (step t30.t14 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t30.t15 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t30.t13 t30.t14))
% 48.61/48.84 (step t30.t16 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t30.t12 t30.t15))
% 48.61/48.84 (step t30.t17 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t30.t16))
% 48.61/48.84 (step t30.t18 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t30.a4))
% 48.61/48.84 (step t30.t19 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t30.t17 t30.a3 t30.t18))
% 48.61/48.84 (step t30.t20 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t30.t19))
% 48.61/48.84 (step t30.t21 (cl (= tptp.sk9 (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule trans :premises (t30.t11 t30.t20))
% 48.61/48.84 (step t30.t22 (cl (= (tptp.tl (tptp.cons tptp.sk6 tptp.nil)) tptp.nil)) :rule symm :premises (t30.a9))
% 48.61/48.84 (step t30.t23 (cl (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t30.t22))
% 48.61/48.84 (step t30.t24 (cl (= (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) :rule symm :premises (t30.a8))
% 48.61/48.84 (step t30.t25 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t30.t24))
% 48.61/48.84 (step t30.t26 (cl (= tptp.sk7 tptp.nil)) :rule symm :premises (t30.a7))
% 48.61/48.84 (step t30.t27 (cl (= tptp.nil tptp.sk7)) :rule symm :premises (t30.t26))
% 48.61/48.84 (step t30.t28 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule refl)
% 48.61/48.84 (step t30.t29 (cl (= (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t30.t27 t30.t28))
% 48.61/48.84 (step t30.t30 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule trans :premises (t30.t25 t30.t29 t30.t16))
% 48.61/48.84 (step t30.t31 (cl (= (tptp.tl (tptp.cons tptp.sk6 tptp.nil)) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t30.t30))
% 48.61/48.84 (step t30.t32 (cl (= (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t30.t16))
% 48.61/48.84 (step t30.t33 (cl (= (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t30.t32))
% 48.61/48.84 (step t30.t34 (cl (= tptp.nil (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule trans :premises (t30.t23 t30.t31 t30.t33))
% 48.61/48.84 (step t30.t35 (cl (= (tptp.cons tptp.sk9 tptp.nil) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t30.t21 t30.t34))
% 48.61/48.84 (step t30.t36 (cl (= (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t30.t17 t30.t32))
% 48.61/48.84 (step t30.t37 (cl (= (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule symm :premises (t30.a2))
% 48.61/48.84 (step t30.t38 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule symm :premises (t30.t16))
% 48.61/48.84 (step t30.t39 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule trans :premises (t30.a5 t30.t35 t30.t36 t30.t37 t30.t38))
% 48.61/48.84 (step t30.t40 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule trans :premises (t30.t39 t30.t16))
% 48.61/48.84 (step t30.t41 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 48.61/48.84 (step t30.t42 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t30.t40 t30.t41))
% 48.61/48.84 (step t30.t43 (cl (= (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t30.t44 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t30.t43))
% 48.61/48.84 (step t30.t45 (cl (not (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 48.61/48.84 (step t30.t46 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t30.t44 t30.t45))
% 48.61/48.84 (step t30.t47 (cl (= (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t30.t46 t30.a0))
% 48.61/48.84 (step t30.t48 (cl (= true false)) :rule trans :premises (t30.t6 t30.t42 t30.t47))
% 48.61/48.84 (step t30.t49 (cl false) :rule resolution :premises (t30.t1 t30.t2 t30.t48))
% 48.61/48.84 (step t30 (cl (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) :rule subproof :discharge (t30.a0 t30.a1 t30.a2 t30.a3 t30.a4 t30.a5 t30.a6 t30.a7 t30.a8 t30.a9 t30.a10))
% 48.61/48.84 (step t31 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t32 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t33 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule and_pos)
% 48.61/48.84 (step t34 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t35 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t36 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t37 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t38 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 48.61/48.84 (step t39 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t40 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t41 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t42 (cl false (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t30 t31 t32 t33 t34 t35 t36 t37 t38 t39 t40 t41))
% 48.61/48.84 (step t43 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) false) :rule reordering :premises (t42))
% 48.61/48.84 (step t44 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) false) :rule contraction :premises (t43))
% 48.61/48.84 (step t45 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) false) :rule resolution :premises (t29 t44))
% 48.61/48.84 (step t46 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (not false)) :rule implies_neg2)
% 48.61/48.84 (step t47 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t45 t46))
% 48.61/48.84 (step t48 (cl (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule contraction :premises (t47))
% 48.61/48.84 (step t49 (cl (= (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_simplify)
% 48.61/48.84 (step t50 (cl (not (=> (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false)) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv1 :premises (t49))
% 48.61/48.84 (step t51 (cl (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t48 t50))
% 48.61/48.84 (step t52 (cl (= (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t28 t51))
% 48.61/48.84 (step t53 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) false))) :rule cong :premises (t24 t52))
% 48.61/48.84 (step t54 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) false) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.61/48.84 (step t55 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule trans :premises (t53 t54))
% 48.61/48.84 (step t56 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t57)
% 48.61/48.84 (assume t57.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)))
% 48.61/48.84 (assume t57.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t57.a2 (= tptp.nil tptp.sk7))
% 48.61/48.84 (assume t57.a3 (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (assume t57.a4 (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))
% 48.61/48.84 (assume t57.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t57.a6 (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t57.a7 (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (assume t57.a8 (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (assume t57.a9 (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))
% 48.61/48.84 (assume t57.a10 (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (step t57.t1 (cl (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.nil tptp.sk7)) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_neg)
% 48.61/48.84 (step t57.t2 (cl (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t57.t1 t57.a10 t57.a1 t57.a9 t57.a5 t57.a6 t57.a0 t57.a4 t57.a2 t57.a8 t57.a3 t57.a7))
% 48.61/48.84 (step t57 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t57.a0 t57.a1 t57.a2 t57.a3 t57.a4 t57.a5 t57.a6 t57.a7 t57.a8 t57.a9 t57.a10))
% 48.61/48.84 (step t58 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t59 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t60 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.nil tptp.sk7)) :rule and_pos)
% 48.61/48.84 (step t61 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t62 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t63 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t64 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t65 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t66 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t67 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule and_pos)
% 48.61/48.84 (step t68 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t69 (cl (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t57 t58 t59 t60 t61 t62 t63 t64 t65 t66 t67 t68))
% 48.61/48.84 (step t70 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t69))
% 48.61/48.84 (step t71 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t70))
% 48.61/48.84 (step t72 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t56 t71))
% 48.61/48.84 (step t73 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t74 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t72 t73))
% 48.61/48.84 (step t75 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.nil tptp.sk7) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t74))
% 48.61/48.84 (step t76 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.nil tptp.sk7) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t23 t55 t75))
% 48.61/48.84 (step t77 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule not_and :premises (t76))
% 48.61/48.84 (step t78 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))))) :rule or_neg)
% 48.61/48.84 (step t79 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.61/48.84 (step t80 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.nil tptp.sk7)))) :rule or_neg)
% 48.61/48.84 (step t81 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t82 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t83 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t84 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t85 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t86 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t87 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule or_neg)
% 48.61/48.84 (step t88 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t89 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t77 t78 t79 t80 t81 t82 t83 t84 t85 t86 t87 t88))
% 48.61/48.84 (step t90 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t89))
% 48.61/48.84 (step t91 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t1 t22 t90))
% 48.61/48.84 (step t92 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t91))
% 48.61/48.84 (step t93 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.nil tptp.sk7)) (not (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule reordering :premises (t92))
% 48.61/48.84 (step t94 (cl (not (= (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) (not (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.84 (step t95 (cl (= (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule refl)
% 48.61/48.84 (step t96 (cl (= (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule refl)
% 48.61/48.84 (step t97 (cl (= (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule refl)
% 48.61/48.84 (step t98 (cl (= (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule refl)
% 48.61/48.84 (step t99 (cl (= (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true) (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t100 (cl (not (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true)) (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv1 :premises (t99))
% 48.61/48.84 (step t101 (cl (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule all_simplify)
% 48.61/48.84 (step t102 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t103 (cl (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule all_simplify)
% 48.61/48.84 (step t104 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t102 t103))
% 48.61/48.84 (step t105 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true)) :rule all_simplify)
% 48.61/48.84 (step t106 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) true)) :rule trans :premises (t104 t105))
% 48.61/48.84 (step t107 (cl (= (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) true)) :rule trans :premises (t101 t106))
% 48.61/48.84 (step t108 (cl (= (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t100 t107))
% 48.61/48.84 (step t109 (cl (= (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t110 (cl (= (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t2 t3 t6 t95 t96 t7 t8 t97 t98 t108 t109))
% 48.61/48.84 (step t111 (cl (not (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) (not (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.84 (step t112 (cl (= (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t113 (cl (= (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_simplify)
% 48.61/48.84 (step t114 (cl (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv2 :premises (t113))
% 48.61/48.84 (step t115 (cl (not (not (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule not_not)
% 48.61/48.84 (step t116 (cl (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t114 t115))
% 48.61/48.84 (step t117 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t118)
% 48.61/48.84 (assume t118.a0 (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (assume t118.a1 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (assume t118.a2 (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (assume t118.a3 (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))
% 48.61/48.84 (assume t118.a4 (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (assume t118.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t118.a6 (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t118.a7 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)))
% 48.61/48.84 (assume t118.a8 (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))
% 48.61/48.84 (assume t118.a9 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t118.a10 (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t118.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 48.61/48.84 (step t118.t2 (cl (= (= true false) false)) :rule all_simplify)
% 48.61/48.84 (step t118.t3 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t118.t4 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t118.t3))
% 48.61/48.84 (step t118.t5 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) :rule resolution :premises (t118.t4 t118.a10))
% 48.61/48.84 (step t118.t6 (cl (= true (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t118.t5))
% 48.61/48.84 (step t118.t7 (cl (= (tptp.hd (tptp.cons tptp.sk9 tptp.nil)) tptp.sk9)) :rule symm :premises (t118.a8))
% 48.61/48.84 (step t118.t8 (cl (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule symm :premises (t118.t7))
% 48.61/48.84 (step t118.t9 (cl (= (tptp.cons tptp.sk9 tptp.nil) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (t118.a7))
% 48.61/48.84 (step t118.t10 (cl (= (tptp.hd (tptp.cons tptp.sk9 tptp.nil)) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t118.t9))
% 48.61/48.84 (step t118.t11 (cl (= tptp.sk9 (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule trans :premises (t118.t8 t118.t10))
% 48.61/48.84 (step t118.t12 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule symm :premises (t118.a6))
% 48.61/48.84 (step t118.t13 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule symm :premises (t118.t12))
% 48.61/48.84 (step t118.t14 (cl (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule symm :premises (t118.a5))
% 48.61/48.84 (step t118.t15 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))) :rule symm :premises (t118.a4))
% 48.61/48.84 (step t118.t16 (cl (= (tptp.hd tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule cong :premises (t118.a1))
% 48.61/48.84 (step t118.t17 (cl (= (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (tptp.skaf83 tptp.sk7))) :rule symm :premises (t118.a3))
% 48.61/48.84 (step t118.t18 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.skaf83 tptp.sk7))) :rule trans :premises (t118.t13 t118.t14 t118.t15 t118.t16 t118.t17))
% 48.61/48.84 (step t118.t19 (cl (= (tptp.hd tptp.sk7) (tptp.skaf83 tptp.sk7))) :rule trans :premises (t118.t16 t118.t17))
% 48.61/48.84 (step t118.t20 (cl (= (tptp.skaf83 tptp.sk7) (tptp.hd tptp.sk7))) :rule symm :premises (t118.t19))
% 48.61/48.84 (step t118.t21 (cl (= tptp.sk9 (tptp.hd tptp.sk7))) :rule trans :premises (t118.t11 t118.t18 t118.t20))
% 48.61/48.84 (step t118.t22 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t118.t23 (cl (= (tptp.cons tptp.sk9 tptp.nil) (tptp.cons (tptp.hd tptp.sk7) tptp.nil))) :rule cong :premises (t118.t21 t118.t22))
% 48.61/48.84 (step t118.t24 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.hd tptp.sk7) tptp.nil))) :rule trans :premises (t118.a7 t118.t23))
% 48.61/48.84 (step t118.t25 (cl (= (tptp.cons (tptp.hd tptp.sk7) tptp.nil) (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil))) :rule cong :premises (t118.t19 t118.t22))
% 48.61/48.84 (step t118.t26 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil))) :rule trans :premises (t118.t24 t118.t25))
% 48.61/48.84 (step t118.t27 (cl (= (tptp.skaf82 tptp.sk7) (tptp.skaf82 tptp.sk7))) :rule refl)
% 48.61/48.84 (step t118.t28 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule cong :premises (t118.t26 t118.t27))
% 48.61/48.84 (step t118.t29 (cl (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule symm :premises (t118.a2))
% 48.61/48.84 (step t118.t30 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule symm :premises (t118.a1))
% 48.61/48.84 (step t118.t31 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) tptp.sk7)) :rule trans :premises (t118.t28 t118.t29 t118.t30))
% 48.61/48.84 (step t118.t32 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.61/48.84 (step t118.t33 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t118.a9))
% 48.61/48.84 (step t118.t34 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t118.t33 t118.t22))
% 48.61/48.84 (step t118.t35 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t118.t32 t118.t34))
% 48.61/48.84 (step t118.t36 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t118.t31 t118.t35))
% 48.61/48.84 (step t118.t37 (cl (= (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t118.t38 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv2 :premises (t118.t37))
% 48.61/48.84 (step t118.t39 (cl (not (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule not_not)
% 48.61/48.84 (step t118.t40 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t118.t38 t118.t39))
% 48.61/48.84 (step t118.t41 (cl (= (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule resolution :premises (t118.t40 t118.a0))
% 48.61/48.84 (step t118.t42 (cl (= true false)) :rule trans :premises (t118.t6 t118.t36 t118.t41))
% 48.61/48.84 (step t118.t43 (cl false) :rule resolution :premises (t118.t1 t118.t2 t118.t42))
% 48.61/48.84 (step t118 (cl (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) :rule subproof :discharge (t118.a0 t118.a1 t118.a2 t118.a3 t118.a4 t118.a5 t118.a6 t118.a7 t118.a8 t118.a9 t118.a10))
% 48.61/48.84 (step t119 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t120 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.61/48.84 (step t121 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.61/48.84 (step t122 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_pos)
% 48.61/48.84 (step t123 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t124 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t125 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t126 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t127 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t128 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t129 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t130 (cl false (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t118 t119 t120 t121 t122 t123 t124 t125 t126 t127 t128 t129))
% 48.61/48.84 (step t131 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) false) :rule reordering :premises (t130))
% 48.61/48.84 (step t132 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) false) :rule contraction :premises (t131))
% 48.61/48.84 (step t133 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) false) :rule resolution :premises (t117 t132))
% 48.61/48.84 (step t134 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not false)) :rule implies_neg2)
% 48.61/48.84 (step t135 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t133 t134))
% 48.61/48.84 (step t136 (cl (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule contraction :premises (t135))
% 48.61/48.84 (step t137 (cl (= (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_simplify)
% 48.61/48.84 (step t138 (cl (not (=> (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv1 :premises (t137))
% 48.61/48.84 (step t139 (cl (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t136 t138))
% 48.61/48.84 (step t140 (cl (= (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false)) :rule resolution :premises (t116 t139))
% 48.61/48.84 (step t141 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false))) :rule cong :premises (t112 t140))
% 48.61/48.84 (step t142 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) false) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule all_simplify)
% 48.61/48.84 (step t143 (cl (= (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule trans :premises (t141 t142))
% 48.61/48.84 (step t144 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t145)
% 48.61/48.84 (assume t145.a0 (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)))
% 48.61/48.84 (assume t145.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t145.a2 (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))
% 48.61/48.84 (assume t145.a3 (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (assume t145.a4 (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (assume t145.a5 (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t145.a6 (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t145.a7 (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))
% 48.61/48.84 (assume t145.a8 (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (assume t145.a9 (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (assume t145.a10 (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t145.t1 (cl (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_neg)
% 48.61/48.84 (step t145.t2 (cl (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t145.t1 t145.a9 t145.a3 t145.a8 t145.a7 t145.a4 t145.a5 t145.a6 t145.a0 t145.a2 t145.a1 t145.a10))
% 48.61/48.84 (step t145 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t145.a0 t145.a1 t145.a2 t145.a3 t145.a4 t145.a5 t145.a6 t145.a7 t145.a8 t145.a9 t145.a10))
% 48.61/48.84 (step t146 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t147 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t148 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t149 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.61/48.84 (step t150 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t151 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t152 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t153 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule and_pos)
% 48.61/48.84 (step t154 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule and_pos)
% 48.61/48.84 (step t155 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t156 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t157 (cl (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t145 t146 t147 t148 t149 t150 t151 t152 t153 t154 t155 t156))
% 48.61/48.84 (step t158 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t157))
% 48.61/48.84 (step t159 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t158))
% 48.61/48.84 (step t160 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t144 t159))
% 48.61/48.84 (step t161 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t162 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t160 t161))
% 48.61/48.84 (step t163 (cl (=> (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t162))
% 48.61/48.84 (step t164 (cl (not (and (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.sk5 tptp.sk6) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t111 t143 t163))
% 48.61/48.84 (step t165 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule not_and :premises (t164))
% 48.61/48.84 (step t166 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))))) :rule or_neg)
% 48.61/48.84 (step t167 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.61/48.84 (step t168 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t169 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule or_neg)
% 48.61/48.84 (step t170 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t171 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t172 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t173 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule or_neg)
% 48.61/48.84 (step t174 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule or_neg)
% 48.61/48.84 (step t175 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t176 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t177 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t165 t166 t167 t168 t169 t170 t171 t172 t173 t174 t175 t176))
% 48.61/48.84 (step t178 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t177))
% 48.61/48.84 (step t179 (cl (or (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t94 t110 t178))
% 48.61/48.84 (step t180 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t179))
% 48.61/48.84 (step t181 (cl (not (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) (not (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t180))
% 48.61/48.84 (step t182 (cl (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t183 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t182))
% 48.61/48.84 (step t184 (cl (not (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (tptp.ssList tptp.sk1)) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule equiv_pos2)
% 48.61/48.84 (step t185 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 48.61/48.84 (step t186 (cl (not (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) (not (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule equiv_pos2)
% 48.61/48.84 (step t187 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 48.61/48.84 (step t188 (cl (and (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t187 a190 a189))
% 48.61/48.84 (step t189 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t188))
% 48.61/48.84 (step t190 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule refl)
% 48.61/48.84 (step t191 (cl (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t189 t190))
% 48.61/48.84 (step t192 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule symm :premises (a195))
% 48.61/48.84 (step t193 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule resolution :premises (t186 t191 t192))
% 48.61/48.84 (step t194 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t185 t193 a190 a189))
% 48.61/48.84 (step t195 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t194))
% 48.61/48.84 (step t196 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and :premises (t194))
% 48.61/48.84 (step t197 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule trans :premises (t195 t196))
% 48.61/48.84 (step t198 (cl (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t197))
% 48.61/48.84 (step t199 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule resolution :premises (t184 t198 a185))
% 48.61/48.84 (step t200 (cl (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_neg)
% 48.61/48.84 (step t201 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t202)
% 48.61/48.84 (assume t202.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t202.a1 (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.61/48.84 (step t202.t1 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t202.t2)
% 48.61/48.84 (assume t202.t2.a0 (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.61/48.84 (assume t202.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (step t202.t2.t1 (cl (= (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t202.t2.t2 (cl (not (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t202.t2.t1))
% 48.61/48.84 (step t202.t2.t3 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.61/48.84 (step t202.t2.t4 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t202.t2.a1))
% 48.61/48.84 (step t202.t2.t5 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t202.t2.t6 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t202.t2.t4 t202.t2.t5))
% 48.61/48.84 (step t202.t2.t7 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t202.t2.t3 t202.t2.t6))
% 48.61/48.84 (step t202.t2.t8 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t202.t2.t7))
% 48.61/48.84 (step t202.t2.t9 (cl (= (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t202.t2.t10 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t202.t2.t9))
% 48.61/48.84 (step t202.t2.t11 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true)) :rule resolution :premises (t202.t2.t10 t202.t2.a0))
% 48.61/48.84 (step t202.t2.t12 (cl (= (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t202.t2.t8 t202.t2.t11))
% 48.61/48.84 (step t202.t2.t13 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t202.t2.t2 t202.t2.t12))
% 48.61/48.84 (step t202.t2 (cl (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t202.t2.a0 t202.t2.a1))
% 48.61/48.84 (step t202.t3 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t202.t4 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t202.t5 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t202.t2 t202.t3 t202.t4))
% 48.61/48.84 (step t202.t6 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t202.t5))
% 48.61/48.84 (step t202.t7 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t202.t6))
% 48.61/48.84 (step t202.t8 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t202.t1 t202.t7))
% 48.61/48.84 (step t202.t9 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t202.t10 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t202.t8 t202.t9))
% 48.61/48.84 (step t202.t11 (cl (=> (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t202.t10))
% 48.61/48.84 (step t202.t12 (cl (not (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t202.t11))
% 48.61/48.84 (step t202.t13 (cl (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.61/48.84 (step t202.t14 (cl (and (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t202.t13 t202.a1 t202.a0))
% 48.61/48.84 (step t202.t15 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t202.t12 t202.t14))
% 48.61/48.84 (step t202 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t202.a0 t202.a1))
% 48.61/48.84 (step t203 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t204 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t205 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t202 t203 t204))
% 48.61/48.84 (step t206 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t205))
% 48.61/48.84 (step t207 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t206))
% 48.61/48.84 (step t208 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t201 t207))
% 48.61/48.84 (step t209 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t210 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t208 t209))
% 48.61/48.84 (step t211 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t210))
% 48.61/48.84 (step t212 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t211))
% 48.61/48.84 (step t213 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t200 t212))
% 48.61/48.84 (step t214 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)) :rule or_pos)
% 48.61/48.84 (step t215 (cl (tptp.neq tptp.sk5 tptp.sk6) (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk6)) (= tptp.sk5 tptp.sk6) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule reordering :premises (t214))
% 48.61/48.84 (step t216 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule equiv_pos2)
% 48.61/48.84 (step t217 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) :rule refl)
% 48.61/48.84 (step t218 (cl (= (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk6)))) :rule refl)
% 48.61/48.84 (step t219 (cl (= (not (tptp.ssItem tptp.sk5)) (not (tptp.ssItem tptp.sk5)))) :rule refl)
% 48.61/48.84 (step t220 (cl (= (tptp.neq tptp.sk5 tptp.sk6) (tptp.neq tptp.sk5 tptp.sk6))) :rule refl)
% 48.61/48.84 (step t221 (cl (= (= tptp.sk6 tptp.sk5) (= tptp.sk5 tptp.sk6))) :rule all_simplify)
% 48.61/48.84 (step t222 (cl (= (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule cong :premises (t218 t219 t220 t221))
% 48.61/48.84 (step t223 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))))) :rule cong :premises (t217 t222))
% 48.61/48.84 (step t224 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t225)
% 48.61/48.84 (assume t225.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))
% 48.61/48.84 (step t225.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.sk5)))
% 48.61/48.84 (step t225.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule or :premises (t225.t1))
% 48.61/48.84 (step t225.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t225.t2 t225.a0))
% 48.61/48.84 (step t225 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule subproof :discharge (t225.a0))
% 48.61/48.84 (step t226 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) :rule resolution :premises (t224 t225))
% 48.61/48.84 (step t227 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule implies_neg2)
% 48.61/48.84 (step t228 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule resolution :premises (t226 t227))
% 48.61/48.84 (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk6 tptp.sk5)))) :rule contraction :premises (t228))
% 48.61/48.84 (step t230 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t216 t223 t229))
% 48.61/48.84 (step t231 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))) :rule implies :premises (t230))
% 48.61/48.84 (step t232 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t233 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t233.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t233.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t233.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.61/48.84 (step t233.t4 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 48.61/48.84 (step t233.t5 (cl (= (tptp.neq V U) (tptp.neq V U))) :rule refl)
% 48.61/48.84 (step t233.t6 (cl (= (= V U) (= U V))) :rule all_simplify)
% 48.61/48.84 (step t233.t7 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule cong :premises (t233.t3 t233.t4 t233.t5 t233.t6))
% 48.61/48.84 (step t233 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) :rule bind)
% 48.61/48.84 (step t234 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V)))) :rule resolution :premises (t232 t233 a101))
% 48.61/48.84 (step t235 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssItem tptp.sk5)) (tptp.neq tptp.sk5 tptp.sk6) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t231 t234))
% 48.61/48.84 (step t236 (cl (= tptp.sk5 tptp.sk6)) :rule resolution :premises (t215 a196 a191 a192 t235))
% 48.61/48.84 (step t237 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t238 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t237))
% 48.61/48.84 (step t239 (cl (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule and_neg)
% 48.61/48.84 (step t240 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t241)
% 48.61/48.84 (assume t241.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t241.a1 (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))
% 48.61/48.84 (step t241.t1 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t241.t2)
% 48.61/48.84 (assume t241.t2.a0 (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))
% 48.61/48.84 (assume t241.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (step t241.t2.t1 (cl (= (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) true) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv_simplify)
% 48.61/48.84 (step t241.t2.t2 (cl (not (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) true)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule equiv1 :premises (t241.t2.t1))
% 48.61/48.84 (step t241.t2.t3 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t241.t2.a1))
% 48.61/48.84 (step t241.t2.t4 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t241.t2.t3))
% 48.61/48.84 (step t241.t2.t5 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t241.t2.t6 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t241.t2.t4 t241.t2.t5))
% 48.61/48.84 (step t241.t2.t7 (cl (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t241.t2.t6))
% 48.61/48.84 (step t241.t2.t8 (cl (= (= (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) true) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv_simplify)
% 48.61/48.84 (step t241.t2.t9 (cl (= (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) true) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv2 :premises (t241.t2.t8))
% 48.61/48.84 (step t241.t2.t10 (cl (= (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) true)) :rule resolution :premises (t241.t2.t9 t241.t2.a0))
% 48.61/48.84 (step t241.t2.t11 (cl (= (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) true)) :rule trans :premises (t241.t2.t7 t241.t2.t10))
% 48.61/48.84 (step t241.t2.t12 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t241.t2.t2 t241.t2.t11))
% 48.61/48.84 (step t241.t2 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule subproof :discharge (t241.t2.a0 t241.t2.a1))
% 48.61/48.84 (step t241.t3 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t241.t4 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t241.t5 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t241.t2 t241.t3 t241.t4))
% 48.61/48.84 (step t241.t6 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t241.t5))
% 48.61/48.84 (step t241.t7 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule contraction :premises (t241.t6))
% 48.61/48.84 (step t241.t8 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t241.t1 t241.t7))
% 48.61/48.84 (step t241.t9 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg2)
% 48.61/48.84 (step t241.t10 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t241.t8 t241.t9))
% 48.61/48.84 (step t241.t11 (cl (=> (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t241.t10))
% 48.61/48.84 (step t241.t12 (cl (not (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule implies :premises (t241.t11))
% 48.61/48.84 (step t241.t13 (cl (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.61/48.84 (step t241.t14 (cl (and (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t241.t13 t241.a1 t241.a0))
% 48.61/48.84 (step t241.t15 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t241.t12 t241.t14))
% 48.61/48.84 (step t241 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule subproof :discharge (t241.a0 t241.a1))
% 48.61/48.84 (step t242 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t243 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t244 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t241 t242 t243))
% 48.61/48.84 (step t245 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule reordering :premises (t244))
% 48.61/48.84 (step t246 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule contraction :premises (t245))
% 48.61/48.84 (step t247 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t240 t246))
% 48.61/48.84 (step t248 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule implies_neg2)
% 48.61/48.84 (step t249 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t247 t248))
% 48.61/48.84 (step t250 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t249))
% 48.61/48.84 (step t251 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule implies :premises (t250))
% 48.61/48.84 (step t252 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t239 t251))
% 48.61/48.84 (step t253 (cl (not (= tptp.sk5 tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk5 tptp.nil)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t252))
% 48.61/48.84 (step t254 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 48.61/48.84 (step t255 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t254))
% 48.61/48.84 (step t256 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 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)
% 48.61/48.84 (anchor :step t257)
% 48.61/48.84 (assume t257.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 48.61/48.84 (step t257.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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 48.61/48.84 (step t257.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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t257.t1))
% 48.61/48.84 (step t257.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t257.t2 t257.a0))
% 48.61/48.84 (step t257 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t257.a0))
% 48.61/48.84 (step t258 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t256 t257))
% 48.61/48.84 (step t259 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t260 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t258 t259))
% 48.61/48.84 (step t261 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t260))
% 48.61/48.84 (step t262 (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.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t261))
% 48.61/48.84 (step t263 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t262 a85))
% 48.61/48.84 (step t264 (cl (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t255 a7 a192 t263))
% 48.61/48.84 (step t265 (cl (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) :rule resolution :premises (t253 t236 t264))
% 48.61/48.84 (step t266 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t267)
% 48.61/48.84 (assume t267.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 48.61/48.84 (step t267.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil)) (:= V tptp.sk7)))
% 48.61/48.84 (step t267.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t267.t1))
% 48.61/48.84 (step t267.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t267.t2 t267.a0))
% 48.61/48.84 (step t267 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t267.a0))
% 48.61/48.84 (step t268 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t266 t267))
% 48.61/48.84 (step t269 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t270 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t268 t269))
% 48.61/48.84 (step t271 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t270))
% 48.61/48.84 (step t272 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t271))
% 48.61/48.84 (step t273 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t272 a84))
% 48.61/48.84 (step t274 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t238 a193 t265 t273))
% 48.61/48.84 (step t275 (cl (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t213 t236 t274))
% 48.61/48.84 (step t276 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t277)
% 48.61/48.84 (assume t277.a0 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 48.61/48.84 (step t277.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.61/48.84 (step t277.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule or :premises (t277.t1))
% 48.61/48.84 (step t277.t3 (cl (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t277.t2 t277.a0))
% 48.61/48.84 (step t277 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule subproof :discharge (t277.a0))
% 48.61/48.84 (step t278 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t276 t277))
% 48.61/48.84 (step t279 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule implies_neg2)
% 48.61/48.84 (step t280 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7))) (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule resolution :premises (t278 t279))
% 48.61/48.84 (step t281 (cl (=> (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (tptp.ssList (tptp.skaf82 tptp.sk7)))) :rule contraction :premises (t280))
% 48.61/48.84 (step t282 (cl (not (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U)))) (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule implies :premises (t281))
% 48.61/48.84 (step t283 (cl (tptp.ssList (tptp.skaf82 tptp.sk7))) :rule resolution :premises (t282 a12))
% 48.61/48.84 (step t284 (cl (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule and_neg)
% 48.61/48.84 (step t285 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t286)
% 48.61/48.84 (assume t286.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t286.a1 (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.61/48.84 (step t286.t1 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t286.t2)
% 48.61/48.84 (assume t286.t2.a0 (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))
% 48.61/48.84 (assume t286.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (step t286.t2.t1 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t286.t2.t2 (cl (not (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t286.t2.t1))
% 48.61/48.84 (step t286.t2.t3 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule refl)
% 48.61/48.84 (step t286.t2.t4 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.61/48.84 (step t286.t2.t5 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t286.t2.a1))
% 48.61/48.84 (step t286.t2.t6 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t286.t2.t7 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule cong :premises (t286.t2.t5 t286.t2.t6))
% 48.61/48.84 (step t286.t2.t8 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule cong :premises (t286.t2.t4 t286.t2.t7))
% 48.61/48.84 (step t286.t2.t9 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule cong :premises (t286.t2.t3 t286.t2.t8))
% 48.61/48.84 (step t286.t2.t10 (cl (= (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t286.t2.t11 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv2 :premises (t286.t2.t10))
% 48.61/48.84 (step t286.t2.t12 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) true)) :rule resolution :premises (t286.t2.t11 t286.t2.a0))
% 48.61/48.84 (step t286.t2.t13 (cl (= (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t286.t2.t9 t286.t2.t12))
% 48.61/48.84 (step t286.t2.t14 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t286.t2.t2 t286.t2.t13))
% 48.61/48.84 (step t286.t2 (cl (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t286.t2.a0 t286.t2.a1))
% 48.61/48.84 (step t286.t3 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t286.t4 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t286.t5 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t286.t2 t286.t3 t286.t4))
% 48.61/48.84 (step t286.t6 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t286.t5))
% 48.61/48.84 (step t286.t7 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t286.t6))
% 48.61/48.84 (step t286.t8 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t286.t1 t286.t7))
% 48.61/48.84 (step t286.t9 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t286.t10 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t286.t8 t286.t9))
% 48.61/48.84 (step t286.t11 (cl (=> (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t286.t10))
% 48.61/48.84 (step t286.t12 (cl (not (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t286.t11))
% 48.61/48.84 (step t286.t13 (cl (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.61/48.84 (step t286.t14 (cl (and (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t286.t13 t286.a1 t286.a0))
% 48.61/48.84 (step t286.t15 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t286.t12 t286.t14))
% 48.61/48.84 (step t286 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t286.a0 t286.a1))
% 48.61/48.84 (step t287 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t288 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t289 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t286 t287 t288))
% 48.61/48.84 (step t290 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t289))
% 48.61/48.84 (step t291 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t290))
% 48.61/48.84 (step t292 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t285 t291))
% 48.61/48.84 (step t293 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t294 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t292 t293))
% 48.61/48.84 (step t295 (cl (=> (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t294))
% 48.61/48.84 (step t296 (cl (not (and (= tptp.sk5 tptp.sk6) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t295))
% 48.61/48.84 (step t297 (cl (not (= tptp.sk5 tptp.sk6)) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t284 t296))
% 48.61/48.84 (step t298 (cl (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t299 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t298))
% 48.61/48.84 (step t300 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t301 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t300))
% 48.61/48.84 (step t302 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t303)
% 48.61/48.84 (assume t303.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 48.61/48.84 (step t303.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (step t303.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t303.t1))
% 48.61/48.84 (step t303.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t303.t2 t303.a0))
% 48.61/48.84 (step t303 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t303.a0))
% 48.61/48.84 (step t304 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t302 t303))
% 48.61/48.84 (step t305 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t306 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t304 t305))
% 48.61/48.84 (step t307 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t306))
% 48.61/48.84 (step t308 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t307))
% 48.61/48.84 (step t309 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t308 a84))
% 48.61/48.84 (step t310 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t301 t264 t274 t309))
% 48.61/48.84 (step t311 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t312 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t311))
% 48.61/48.84 (step t313 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t314)
% 48.61/48.84 (assume t314.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 48.61/48.84 (step t314.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t314.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t314.t1))
% 48.61/48.84 (step t314.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t314.t2 t314.a0))
% 48.61/48.84 (step t314 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t314.a0))
% 48.61/48.84 (step t315 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t313 t314))
% 48.61/48.84 (step t316 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t317 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t315 t316))
% 48.61/48.84 (step t318 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t317))
% 48.61/48.84 (step t319 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t318))
% 48.61/48.84 (step t320 (cl (not (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t321 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W)))
% 48.61/48.84 (step t321.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t321.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t321.t3 (cl (= W W)) :rule refl)
% 48.61/48.84 (step t321.t4 (cl (= (= (tptp.app U V) W) (= W (tptp.app U V)))) :rule all_simplify)
% 48.61/48.84 (step t321.t5 (cl (= (not (= (tptp.app U V) W)) (not (= W (tptp.app U V))))) :rule cong :premises (t321.t4))
% 48.61/48.84 (step t321.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t321.t7 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.84 (step t321.t8 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 48.61/48.84 (step t321.t9 (cl (= (tptp.frontsegP W U) (tptp.frontsegP W U))) :rule refl)
% 48.61/48.84 (step t321.t10 (cl (= (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U)))) :rule cong :premises (t321.t5 t321.t6 t321.t7 t321.t8 t321.t9))
% 48.61/48.84 (step t321 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))))) :rule bind)
% 48.61/48.84 (step t322 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule all_simplify)
% 48.61/48.84 (anchor :step t323 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t323.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t323.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t323.t3 (cl (= (= (tptp.app U V) (tptp.app U V)) true)) :rule all_simplify)
% 48.61/48.84 (step t323.t4 (cl (= (not (= (tptp.app U V) (tptp.app U V))) (not true))) :rule cong :premises (t323.t3))
% 48.61/48.84 (step t323.t5 (cl (= (not true) false)) :rule all_simplify)
% 48.61/48.84 (step t323.t6 (cl (= (not (= (tptp.app U V) (tptp.app U V))) false)) :rule trans :premises (t323.t4 t323.t5))
% 48.61/48.84 (step t323.t7 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t323.t8 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.84 (step t323.t9 (cl (= (not (tptp.ssList (tptp.app U V))) (not (tptp.ssList (tptp.app U V))))) :rule refl)
% 48.61/48.84 (step t323.t10 (cl (= (tptp.frontsegP (tptp.app U V) U) (tptp.frontsegP (tptp.app U V) U))) :rule refl)
% 48.61/48.84 (step t323.t11 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule cong :premises (t323.t6 t323.t7 t323.t8 t323.t9 t323.t10))
% 48.61/48.84 (step t323.t12 (cl (= (or false (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule all_simplify)
% 48.61/48.84 (step t323.t13 (cl (= (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule trans :premises (t323.t11 t323.t12))
% 48.61/48.84 (step t323 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule bind)
% 48.61/48.84 (step t324 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= W (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t322 t323))
% 48.61/48.84 (step t325 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))) :rule trans :premises (t321 t324))
% 48.61/48.84 (step t326 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule resolution :premises (t320 t325 a143))
% 48.61/48.84 (step t327 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t319 t326))
% 48.61/48.84 (step t328 (cl (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t312 t264 t274 t310 t327))
% 48.61/48.84 (step t329 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t330 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t329))
% 48.61/48.84 (step t331 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t332)
% 48.61/48.84 (assume t332.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 48.61/48.84 (step t332.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk8)))
% 48.61/48.84 (step t332.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t332.t1))
% 48.61/48.84 (step t332.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t332.t2 t332.a0))
% 48.61/48.84 (step t332 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t332.a0))
% 48.61/48.84 (step t333 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t331 t332))
% 48.61/48.84 (step t334 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t335 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t333 t334))
% 48.61/48.84 (step t336 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t335))
% 48.61/48.84 (step t337 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t336))
% 48.61/48.84 (step t338 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t337 t326))
% 48.61/48.84 (step t339 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t330 t199 a194 t310 t338))
% 48.61/48.84 (step t340 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$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)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t341)
% 48.61/48.84 (assume t341.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 48.61/48.84 (step t341.t1 (cl (or (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (:= V (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= W (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (step t341.t2 (cl (not (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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t341.t1))
% 48.61/48.84 (step t341.t3 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t341.t2 t341.a0))
% 48.61/48.84 (step t341 (cl (not (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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t341.a0))
% 48.61/48.84 (step t342 (cl (=> (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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t340 t341))
% 48.61/48.84 (step t343 (cl (=> (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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t344 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t342 t343))
% 48.61/48.84 (step t345 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t344))
% 48.61/48.84 (step t346 (cl (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t345))
% 48.61/48.84 (step t347 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t346 a153))
% 48.61/48.84 (step t348 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t299 t199 t274 t310 t328 t339 t347))
% 48.61/48.84 (step t349 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t297 t236 t348))
% 48.61/48.84 (step t350 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$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)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t351)
% 48.61/48.84 (assume t351.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 48.61/48.84 (step t351.t1 (cl (or (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (:= W (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (step t351.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t351.t1))
% 48.61/48.84 (step t351.t3 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t351.t2 t351.a0))
% 48.61/48.84 (step t351 (cl (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t351.a0))
% 48.61/48.84 (step t352 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t350 t351))
% 48.61/48.84 (step t353 (cl (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t354 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$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))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t352 t353))
% 48.61/48.84 (step t355 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t354))
% 48.61/48.84 (step t356 (cl (not (forall ((U $$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)))) (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t355))
% 48.61/48.84 (step t357 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t356 a136))
% 48.61/48.84 (step t358 (cl (tptp.frontsegP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.skaf82 tptp.sk7)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t183 t199 t275 t283 t349 t357))
% 48.61/48.84 (step t359 (cl (not (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t360 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t359))
% 48.61/48.84 (step t361 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.84 (step t362 (cl (= (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t363 (cl (= (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true) (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t364 (cl (not (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t363))
% 48.61/48.84 (step t365 (cl (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.61/48.84 (step t366 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t367 (cl (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.61/48.84 (step t368 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t366 t367))
% 48.61/48.84 (step t369 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule all_simplify)
% 48.61/48.84 (step t370 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) true)) :rule trans :premises (t368 t369))
% 48.61/48.84 (step t371 (cl (= (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t365 t370))
% 48.61/48.84 (step t372 (cl (= (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t364 t371))
% 48.61/48.84 (step t373 (cl (= (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t374 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t3 t362 t372 t373))
% 48.61/48.84 (step t375 (cl (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 48.61/48.84 (step t376 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t377)
% 48.61/48.84 (assume t377.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t377.a1 (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))
% 48.61/48.84 (assume t377.a2 (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (step t377.t1 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t377.t2)
% 48.61/48.84 (assume t377.t2.a0 (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (assume t377.t2.a1 (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))
% 48.61/48.84 (assume t377.t2.a2 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (step t377.t2.t1 (cl (= (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t377.t2.t2 (cl (not (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv1 :premises (t377.t2.t1))
% 48.61/48.84 (step t377.t2.t3 (cl (= (tptp.app tptp.sk7 tptp.nil) tptp.sk7)) :rule symm :premises (t377.t2.a1))
% 48.61/48.84 (step t377.t2.t4 (cl (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule symm :premises (t377.t2.t3))
% 48.61/48.84 (step t377.t2.t5 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.61/48.84 (step t377.t2.t6 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t377.t2.a2))
% 48.61/48.84 (step t377.t2.t7 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t377.t2.t6))
% 48.61/48.84 (step t377.t2.t8 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t377.t2.t9 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t377.t2.t7 t377.t2.t8))
% 48.61/48.84 (step t377.t2.t10 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t377.t2.t5 t377.t2.t9))
% 48.61/48.84 (step t377.t2.t11 (cl (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t377.t2.t4 t377.t2.t10))
% 48.61/48.84 (step t377.t2.t12 (cl (= (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.84 (step t377.t2.t13 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t377.t2.t12))
% 48.61/48.84 (step t377.t2.t14 (cl (not (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 48.61/48.84 (step t377.t2.t15 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t377.t2.t13 t377.t2.t14))
% 48.61/48.84 (step t377.t2.t16 (cl (= (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t377.t2.t15 t377.t2.a0))
% 48.61/48.84 (step t377.t2.t17 (cl (= (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule trans :premises (t377.t2.t11 t377.t2.t16))
% 48.61/48.84 (step t377.t2.t18 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t377.t2.t2 t377.t2.t17))
% 48.61/48.84 (step t377.t2 (cl (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t377.t2.a0 t377.t2.a1 t377.t2.a2))
% 48.61/48.84 (step t377.t3 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t377.t4 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t377.t5 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t377.t6 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t377.t2 t377.t3 t377.t4 t377.t5))
% 48.61/48.84 (step t377.t7 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t377.t6))
% 48.61/48.84 (step t377.t8 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t377.t7))
% 48.61/48.84 (step t377.t9 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t377.t1 t377.t8))
% 48.61/48.84 (step t377.t10 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t377.t11 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t377.t9 t377.t10))
% 48.61/48.84 (step t377.t12 (cl (=> (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t377.t11))
% 48.61/48.84 (step t377.t13 (cl (not (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t377.t12))
% 48.61/48.84 (step t377.t14 (cl (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.61/48.84 (step t377.t15 (cl (and (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t377.t14 t377.a2 t377.a1 t377.a0))
% 48.61/48.84 (step t377.t16 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t377.t13 t377.t15))
% 48.61/48.84 (step t377 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t377.a0 t377.a1 t377.a2))
% 48.61/48.84 (step t378 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t379 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t380 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.84 (step t381 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t377 t378 t379 t380))
% 48.61/48.84 (step t382 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t381))
% 48.61/48.84 (step t383 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t382))
% 48.61/48.84 (step t384 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t376 t383))
% 48.61/48.84 (step t385 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t386 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t384 t385))
% 48.61/48.84 (step t387 (cl (=> (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t386))
% 48.61/48.84 (step t388 (cl (not (and (= tptp.sk5 tptp.sk6) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t387))
% 48.61/48.84 (step t389 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t375 t388))
% 48.61/48.84 (step t390 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.61/48.84 (step t391 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule or_neg)
% 48.61/48.84 (step t392 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.84 (step t393 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t394 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t389 t390 t391 t392 t393))
% 48.61/48.84 (step t395 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t394))
% 48.61/48.84 (step t396 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t361 t374 t395))
% 48.61/48.84 (step t397 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t396))
% 48.61/48.84 (step t398 (cl (not (= tptp.sk5 tptp.sk6)) (not (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule reordering :premises (t397))
% 48.61/48.84 (step t399 (cl (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule or_pos)
% 48.61/48.84 (step t400 (cl (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule reordering :premises (t399))
% 48.61/48.84 (step t401 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t402)
% 48.61/48.84 (assume t402.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))
% 48.61/48.84 (step t402.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.61/48.84 (step t402.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule or :premises (t402.t1))
% 48.61/48.84 (step t402.t3 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule resolution :premises (t402.t2 t402.a0))
% 48.61/48.84 (step t402 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule subproof :discharge (t402.a0))
% 48.61/48.84 (step t403 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule resolution :premises (t401 t402))
% 48.61/48.84 (step t404 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t405 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule resolution :premises (t403 t404))
% 48.61/48.84 (step t406 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))))) :rule contraction :premises (t405))
% 48.61/48.84 (step t407 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule implies :premises (t406))
% 48.61/48.84 (step t408 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t409 :args ((U $$unsorted) (:= U U)))
% 48.61/48.84 (step t409.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t409.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.84 (step t409.t3 (cl (= (= (tptp.app U tptp.nil) U) (= U (tptp.app U tptp.nil)))) :rule all_simplify)
% 48.61/48.84 (step t409.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule cong :premises (t409.t2 t409.t3))
% 48.61/48.84 (step t409 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) :rule bind)
% 48.61/48.84 (step t410 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil))))) :rule resolution :premises (t408 t409 a72))
% 48.61/48.84 (step t411 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil)))) :rule resolution :premises (t407 t410))
% 48.61/48.84 (step t412 (cl (= tptp.sk7 (tptp.app tptp.sk7 tptp.nil))) :rule resolution :premises (t400 a193 t411))
% 48.61/48.84 (step t413 (cl (not (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 48.61/48.84 (step t414 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t413))
% 48.61/48.84 (step t415 (cl (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))) :rule or_pos)
% 48.61/48.84 (step t416 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule reordering :premises (t415))
% 48.61/48.84 (step t417 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t418)
% 48.61/48.84 (assume t418.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 48.61/48.84 (step t418.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 48.61/48.84 (step t418.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule or :premises (t418.t1))
% 48.61/48.84 (step t418.t3 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t418.t2 t418.a0))
% 48.61/48.84 (step t418 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule subproof :discharge (t418.a0))
% 48.61/48.84 (step t419 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t417 t418))
% 48.61/48.84 (step t420 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (not (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t421 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule resolution :premises (t419 t420))
% 48.61/48.84 (step t422 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil))))) :rule contraction :premises (t421))
% 48.61/48.84 (step t423 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule implies :premises (t422))
% 48.61/48.84 (step t424 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t425 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t425.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t425.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t425.t3 (cl (= (= (tptp.cons U V) tptp.nil) (= tptp.nil (tptp.cons U V)))) :rule all_simplify)
% 48.61/48.84 (step t425.t4 (cl (= (not (= (tptp.cons U V) tptp.nil)) (not (= tptp.nil (tptp.cons U V))))) :rule cong :premises (t425.t3))
% 48.61/48.84 (step t425.t5 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.61/48.84 (step t425.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t425.t7 (cl (= (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V))) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule cong :premises (t425.t4 t425.t5 t425.t6))
% 48.61/48.84 (step t425 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) :rule bind)
% 48.61/48.84 (step t426 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V))))) :rule resolution :premises (t424 t425 a97))
% 48.61/48.84 (step t427 (cl (or (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)))) :rule resolution :premises (t423 t426))
% 48.61/48.84 (step t428 (cl (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t416 a7 a192 t427))
% 48.61/48.84 (step t429 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$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)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t430)
% 48.61/48.84 (assume t430.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 48.61/48.84 (step t430.t1 (cl (or (not (forall ((U $$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)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.nil) (:= W (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t430.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t430.t1))
% 48.61/48.84 (step t430.t3 (cl (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t430.t2 t430.a0))
% 48.61/48.84 (step t430 (cl (not (forall ((U $$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)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t430.a0))
% 48.61/48.84 (step t431 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t429 t430))
% 48.61/48.84 (step t432 (cl (=> (forall ((U $$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))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t433 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$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))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t431 t432))
% 48.61/48.84 (step t434 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t433))
% 48.61/48.84 (step t435 (cl (not (forall ((U $$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)))) (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t434))
% 48.61/48.84 (step t436 (cl (or (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t435 a149))
% 48.61/48.84 (step t437 (cl (not (= (tptp.app tptp.sk7 tptp.nil) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t414 a7 a193 t264 t428 t436))
% 48.61/48.84 (step t438 (cl (not (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t398 t236 t412 t437))
% 48.61/48.84 (step t439 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) :rule or_pos)
% 48.61/48.84 (step t440 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule reordering :premises (t439))
% 48.61/48.84 (step t441 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t442)
% 48.61/48.84 (assume t442.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))))
% 48.61/48.84 (step t442.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7) (:= V (tptp.cons tptp.sk5 tptp.nil))))
% 48.61/48.84 (step t442.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or :premises (t442.t1))
% 48.61/48.84 (step t442.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t442.t2 t442.a0))
% 48.61/48.84 (step t442 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t442.a0))
% 48.61/48.84 (step t443 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t441 t442))
% 48.61/48.84 (step t444 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 48.61/48.84 (step t445 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t443 t444))
% 48.61/48.84 (step t446 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t445))
% 48.61/48.84 (step t447 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList (tptp.app U V))) (tptp.frontsegP (tptp.app U V) U)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule implies :premises (t446))
% 48.61/48.84 (step t448 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t447 t326))
% 48.61/48.84 (step t449 (cl (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) :rule resolution :premises (t440 a193 t265 t274 t448))
% 48.61/48.84 (step t450 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.84 (step t451 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) :rule refl)
% 48.61/48.84 (step t452 (cl (= (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule refl)
% 48.61/48.84 (step t453 (cl (= (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t454 (cl (= (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.61/48.84 (step t455 (cl (= (not (tptp.ssList tptp.sk7)) (not (tptp.ssList tptp.sk7)))) :rule refl)
% 48.61/48.84 (step t456 (cl (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule all_simplify)
% 48.61/48.84 (step t457 (cl (= (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t452 t453 t454 t455 t456))
% 48.61/48.84 (step t458 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t451 t457))
% 48.61/48.84 (step t459 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t460)
% 48.61/48.84 (assume t460.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))
% 48.61/48.84 (step t460.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V tptp.sk7)))
% 48.61/48.84 (step t460.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or :premises (t460.t1))
% 48.61/48.84 (step t460.t3 (cl (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t460.t2 t460.a0))
% 48.61/48.84 (step t460 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t460.a0))
% 48.61/48.84 (step t461 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t459 t460))
% 48.61/48.84 (step t462 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 48.61/48.84 (step t463 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t461 t462))
% 48.61/48.84 (step t464 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t463))
% 48.61/48.84 (step t465 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t450 t458 t464))
% 48.61/48.84 (step t466 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t465))
% 48.61/48.84 (step t467 (cl (not (= (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) (not (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)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t468 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t468.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t468.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t468.t3 (cl (= (not (tptp.frontsegP U V)) (not (tptp.frontsegP U V)))) :rule refl)
% 48.61/48.84 (step t468.t4 (cl (= (not (tptp.frontsegP V U)) (not (tptp.frontsegP V U)))) :rule refl)
% 48.61/48.84 (step t468.t5 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.84 (step t468.t6 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t468.t7 (cl (= (= V U) (= U V))) :rule all_simplify)
% 48.61/48.84 (step t468.t8 (cl (= (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule cong :premises (t468.t3 t468.t4 t468.t5 t468.t6 t468.t7))
% 48.61/48.84 (step t468 (cl (= (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) :rule bind)
% 48.61/48.84 (step t469 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule resolution :premises (t467 t468 a128))
% 48.61/48.84 (step t470 (cl (or (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t466 t469))
% 48.61/48.84 (step t471 (cl (not (tptp.frontsegP tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t360 a193 t274 t438 t449 t470))
% 48.61/48.84 (step t472 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule or_pos)
% 48.61/48.84 (step t473 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule reordering :premises (t472))
% 48.61/48.84 (step t474 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t475)
% 48.61/48.84 (assume t475.a0 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 48.61/48.84 (step t475.t1 (cl (or (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.61/48.84 (step t475.t2 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule or :premises (t475.t1))
% 48.61/48.84 (step t475.t3 (cl (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t475.t2 t475.a0))
% 48.61/48.84 (step t475 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule subproof :discharge (t475.a0))
% 48.61/48.84 (step t476 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t474 t475))
% 48.61/48.84 (step t477 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule implies_neg2)
% 48.61/48.84 (step t478 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule resolution :premises (t476 t477))
% 48.61/48.84 (step t479 (cl (=> (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (tptp.ssItem (tptp.skaf83 tptp.sk7)))) :rule contraction :premises (t478))
% 48.61/48.84 (step t480 (cl (not (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U)))) (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule implies :premises (t479))
% 48.61/48.84 (step t481 (cl (tptp.ssItem (tptp.skaf83 tptp.sk7))) :rule resolution :premises (t480 a11))
% 48.61/48.84 (step t482 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))))) (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (=> (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule equiv_pos2)
% 48.61/48.84 (step t483 (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)
% 48.61/48.84 (step t484 (cl (= (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))))) :rule refl)
% 48.61/48.84 (step t485 (cl (= (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))))) :rule refl)
% 48.61/48.84 (step t486 (cl (= (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) :rule all_simplify)
% 48.61/48.84 (step t487 (cl (= (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule cong :premises (t484 t485 t486))
% 48.61/48.84 (step t488 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))))) :rule cong :premises (t483 t487))
% 48.61/48.84 (step t489 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (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)
% 48.61/48.84 (anchor :step t490)
% 48.61/48.84 (assume t490.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)))))
% 48.61/48.84 (step t490.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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk7)) (:= V (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (step t490.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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule or :premises (t490.t1))
% 48.61/48.84 (step t490.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t490.t2 t490.a0))
% 48.61/48.84 (step t490 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule subproof :discharge (t490.a0))
% 48.61/48.84 (step t491 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t489 t490))
% 48.61/48.84 (step t492 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies_neg2)
% 48.61/48.84 (step t493 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) (=> (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t491 t492))
% 48.61/48.84 (step t494 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)) (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule contraction :premises (t493))
% 48.61/48.84 (step t495 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t482 t488 t494))
% 48.61/48.84 (step t496 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) :rule implies :premises (t495))
% 48.61/48.84 (step t497 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t496 a119))
% 48.61/48.84 (step t498 (cl (= (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)) (tptp.app (tptp.cons (tptp.skaf83 tptp.sk7) tptp.nil) (tptp.skaf82 tptp.sk7)))) :rule resolution :premises (t473 t481 t283 t497))
% 48.61/48.84 (step t499 (cl (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule or_pos)
% 48.61/48.84 (step t500 (cl (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule reordering :premises (t499))
% 48.61/48.84 (step t501 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V)))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t502)
% 48.61/48.84 (assume t502.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 48.61/48.84 (step t502.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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule forall_inst :args ((:= U (tptp.skaf83 tptp.sk7)) (:= V (tptp.skaf82 tptp.sk7))))
% 48.61/48.84 (step t502.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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule or :premises (t502.t1))
% 48.61/48.84 (step t502.t3 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t502.t2 t502.a0))
% 48.61/48.84 (step t502 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule subproof :discharge (t502.a0))
% 48.61/48.84 (step t503 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t501 t502))
% 48.61/48.84 (step t504 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (not (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule implies_neg2)
% 48.61/48.84 (step t505 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) (=> (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule resolution :premises (t503 t504))
% 48.61/48.84 (step t506 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))))) :rule contraction :premises (t505))
% 48.61/48.84 (step t507 (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.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule implies :premises (t506))
% 48.61/48.84 (step t508 (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)
% 48.61/48.84 (anchor :step t509 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t509.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t509.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t509.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.61/48.84 (step t509.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t509.t5 (cl (= (= (tptp.hd (tptp.cons U V)) U) (= U (tptp.hd (tptp.cons U V))))) :rule all_simplify)
% 48.61/48.84 (step t509.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 (t509.t3 t509.t4 t509.t5))
% 48.61/48.84 (step t509 (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)
% 48.61/48.84 (step t510 (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 (t508 t509 a96))
% 48.61/48.84 (step t511 (cl (or (not (tptp.ssItem (tptp.skaf83 tptp.sk7))) (not (tptp.ssList (tptp.skaf82 tptp.sk7))) (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7)))))) :rule resolution :premises (t507 t510))
% 48.61/48.84 (step t512 (cl (= (tptp.skaf83 tptp.sk7) (tptp.hd (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))))) :rule resolution :premises (t500 t481 t283 t511))
% 48.61/48.84 (step t513 (cl (not (or (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t514 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk9)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))) (not (or (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule reordering :premises (t513))
% 48.61/48.84 (step t515 (cl (not (= (or (tptp.ssItem tptp.sk9) (= tptp.nil tptp.sk3)) (or (tptp.ssItem tptp.sk9) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (or (tptp.ssItem tptp.sk9) (= tptp.nil tptp.sk3))) (or (tptp.ssItem tptp.sk9) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule equiv_pos2)
% 48.61/48.84 (step t516 (cl (= (tptp.ssItem tptp.sk9) (tptp.ssItem tptp.sk9))) :rule refl)
% 48.61/48.84 (step t517 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t518 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and :premises (t194))
% 48.61/48.84 (step t519 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t517 t518))
% 48.61/48.84 (step t520 (cl (= (or (tptp.ssItem tptp.sk9) (= tptp.nil tptp.sk3)) (or (tptp.ssItem tptp.sk9) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule cong :premises (t516 t519))
% 48.61/48.84 (step t521 (cl (or (tptp.ssItem tptp.sk9) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t515 t520 a198))
% 48.61/48.84 (step t522 (cl (tptp.ssItem tptp.sk9) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule or :premises (t521))
% 48.61/48.84 (step t523 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.84 (step t524 (cl (not (tptp.ssList tptp.sk8)) (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t523))
% 48.61/48.84 (step t525 (cl (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule or_pos)
% 48.61/48.84 (step t526 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t525))
% 48.61/48.84 (step t527 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t528)
% 48.61/48.84 (assume t528.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 48.61/48.84 (step t528.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t528.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or :premises (t528.t1))
% 48.61/48.84 (step t528.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t528.t2 t528.a0))
% 48.61/48.84 (step t528 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule subproof :discharge (t528.a0))
% 48.61/48.84 (step t529 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t527 t528))
% 48.61/48.84 (step t530 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t531 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t529 t530))
% 48.61/48.84 (step t532 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t531))
% 48.61/48.84 (step t533 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule implies :premises (t532))
% 48.61/48.84 (step t534 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t535 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t535.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t535.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t535.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 48.61/48.84 (step t535.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t535.t3))
% 48.61/48.84 (step t535.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t535.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.84 (step t535.t7 (cl (= (= tptp.nil V) (= tptp.nil V))) :rule refl)
% 48.61/48.84 (step t535.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule cong :premises (t535.t4 t535.t5 t535.t6 t535.t7))
% 48.61/48.84 (step t535 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) :rule bind)
% 48.61/48.84 (step t536 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule resolution :premises (t534 t535 a118))
% 48.61/48.84 (step t537 (cl (or (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t533 t536))
% 48.61/48.84 (step t538 (cl (not (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t526 t264 t274 t428 t537))
% 48.61/48.84 (step t539 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t540)
% 48.61/48.84 (assume t540.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 48.61/48.84 (step t540.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V tptp.sk8)))
% 48.61/48.84 (step t540.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t540.t1))
% 48.61/48.84 (step t540.t3 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t540.t2 t540.a0))
% 48.61/48.84 (step t540 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t540.a0))
% 48.61/48.84 (step t541 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t539 t540))
% 48.61/48.84 (step t542 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t543 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t541 t542))
% 48.61/48.84 (step t544 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t543))
% 48.61/48.84 (step t545 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t544))
% 48.61/48.84 (step t546 (cl (not (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule equiv_pos2)
% 48.61/48.84 (anchor :step t547 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.84 (step t547.t1 (cl (= U U)) :rule refl)
% 48.61/48.84 (step t547.t2 (cl (= V V)) :rule refl)
% 48.61/48.84 (step t547.t3 (cl (= (= (tptp.app U V) tptp.nil) (= tptp.nil (tptp.app U V)))) :rule all_simplify)
% 48.61/48.84 (step t547.t4 (cl (= (not (= (tptp.app U V) tptp.nil)) (not (= tptp.nil (tptp.app U V))))) :rule cong :premises (t547.t3))
% 48.61/48.84 (step t547.t5 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.84 (step t547.t6 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.84 (step t547.t7 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 48.61/48.84 (step t547.t8 (cl (= (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule cong :premises (t547.t4 t547.t5 t547.t6 t547.t7))
% 48.61/48.84 (step t547 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) :rule bind)
% 48.61/48.84 (step t548 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U)))) :rule resolution :premises (t546 t547 a117))
% 48.61/48.84 (step t549 (cl (or (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t545 t548))
% 48.61/48.84 (step t550 (cl (not (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t524 a194 t538 t310 t549))
% 48.61/48.84 (step t551 (cl (tptp.ssItem tptp.sk9)) :rule resolution :premises (t522 t550))
% 48.61/48.84 (step t552 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 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)
% 48.61/48.84 (anchor :step t553)
% 48.61/48.84 (assume t553.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))
% 48.61/48.84 (step t553.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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule forall_inst :args ((:= U tptp.sk9) (:= V tptp.nil)))
% 48.61/48.84 (step t553.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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) :rule or :premises (t553.t1))
% 48.61/48.84 (step t553.t3 (cl (or (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) :rule resolution :premises (t553.t2 t553.a0))
% 48.61/48.84 (step t553 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) :rule subproof :discharge (t553.a0))
% 48.61/48.84 (step t554 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) (or (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) :rule resolution :premises (t552 t553))
% 48.61/48.84 (step t555 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) (not (or (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.84 (step t556 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule resolution :premises (t554 t555))
% 48.61/48.84 (step t557 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))))) :rule contraction :premises (t556))
% 48.61/48.84 (step t558 (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.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) :rule implies :premises (t557))
% 48.61/48.84 (step t559 (cl (or (not (tptp.ssItem tptp.sk9)) (not (tptp.ssList tptp.nil)) (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil))))) :rule resolution :premises (t558 t510))
% 48.61/48.84 (step t560 (cl (= tptp.sk9 (tptp.hd (tptp.cons tptp.sk9 tptp.nil)))) :rule resolution :premises (t514 a7 t551 t559))
% 48.61/48.84 (step t561 (cl (not (= (or (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) (not (or (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3))) (or (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule equiv_pos2)
% 48.61/48.84 (step t562 (cl (= (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.sk3 (tptp.cons tptp.sk9 tptp.nil)))) :rule all_simplify)
% 48.61/48.84 (step t563 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil tptp.sk3))) :rule refl)
% 48.61/48.84 (step t564 (cl (= (or (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= tptp.sk3 (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil tptp.sk3)))) :rule cong :premises (t562 t563))
% 48.61/48.84 (step t565 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule and :premises (t194))
% 48.61/48.84 (step t566 (cl (= (tptp.cons tptp.sk9 tptp.nil) (tptp.cons tptp.sk9 tptp.nil))) :rule refl)
% 48.61/48.84 (step t567 (cl (= (= tptp.sk3 (tptp.cons tptp.sk9 tptp.nil)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)))) :rule cong :premises (t565 t566))
% 48.61/48.84 (step t568 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t569 (cl (= (= tptp.nil tptp.sk3) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule cong :premises (t568 t565))
% 48.61/48.84 (step t570 (cl (= (or (= tptp.sk3 (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil tptp.sk3)) (or (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule cong :premises (t567 t569))
% 48.61/48.84 (step t571 (cl (= (or (= (tptp.cons tptp.sk9 tptp.nil) tptp.sk3) (= tptp.nil tptp.sk3)) (or (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))))) :rule trans :premises (t564 t570))
% 48.61/48.84 (step t572 (cl (or (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)))) :rule resolution :premises (t561 t571 a202))
% 48.61/48.84 (step t573 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil)) (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8))) :rule or :premises (t572))
% 48.61/48.84 (step t574 (cl (= tptp.nil (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) :rule reordering :premises (t573))
% 48.61/48.84 (step t575 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8) (tptp.cons tptp.sk9 tptp.nil))) :rule resolution :premises (t574 t550))
% 48.61/48.84 (step t576 (cl (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 48.61/48.84 (step t577 (cl (not (tptp.ssList tptp.sk8)) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t576))
% 48.61/48.84 (step t578 (cl (=> (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)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (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))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t579)
% 48.61/48.84 (assume t579.a0 (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)))))
% 48.61/48.84 (step t579.t1 (cl (or (not (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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.84 (step t579.t2 (cl (not (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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or :premises (t579.t1))
% 48.61/48.84 (step t579.t3 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t579.t2 t579.a0))
% 48.61/48.84 (step t579 (cl (not (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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule subproof :discharge (t579.a0))
% 48.61/48.84 (step t580 (cl (=> (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)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t578 t579))
% 48.61/48.84 (step t581 (cl (=> (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)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule implies_neg2)
% 48.61/48.84 (step t582 (cl (=> (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)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (=> (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)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t580 t581))
% 48.61/48.84 (step t583 (cl (=> (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)))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule contraction :premises (t582))
% 48.61/48.84 (step t584 (cl (not (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))))) (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t583))
% 48.61/48.84 (step t585 (cl (or (not (tptp.ssList tptp.sk8)) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t584 a122))
% 48.61/48.84 (step t586 (cl (= (tptp.hd (tptp.app (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk8)) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t577 a194 t538 t310 t585))
% 48.61/48.84 (step t587 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or_pos)
% 48.61/48.84 (step t588 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule reordering :premises (t587))
% 48.61/48.84 (step t589 (cl (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) :rule or_pos)
% 48.61/48.84 (step t590 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule reordering :premises (t589))
% 48.61/48.84 (step t591 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_pos2)
% 48.61/48.84 (step t592 (cl (= (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true) (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t593 (cl (not (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule equiv1 :premises (t592))
% 48.61/48.84 (step t594 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))))) :rule all_simplify)
% 48.61/48.84 (step t595 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 48.61/48.84 (step t596 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule all_simplify)
% 48.61/48.84 (step t597 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t595 t596))
% 48.61/48.84 (step t598 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) :rule all_simplify)
% 48.61/48.84 (step t599 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) true)) :rule trans :premises (t597 t598))
% 48.61/48.84 (step t600 (cl (= (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) true)) :rule trans :premises (t594 t599))
% 48.61/48.84 (step t601 (cl (= (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t593 t600))
% 48.61/48.84 (step t602 (cl (= (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t603 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t3 t601 t602))
% 48.61/48.84 (step t604 (cl (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule and_neg)
% 48.61/48.84 (step t605 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t606)
% 48.61/48.84 (assume t606.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (assume t606.a1 (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (step t606.t1 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t606.t2)
% 48.61/48.84 (assume t606.t2.a0 (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.84 (assume t606.t2.a1 (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))
% 48.61/48.84 (step t606.t2.t1 (cl (= (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t606.t2.t2 (cl (not (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule equiv1 :premises (t606.t2.t1))
% 48.61/48.84 (step t606.t2.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t606.t2.t4 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.cons tptp.sk5 tptp.nil))) :rule symm :premises (t606.t2.a1))
% 48.61/48.84 (step t606.t2.t5 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule symm :premises (t606.t2.t4))
% 48.61/48.84 (step t606.t2.t6 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t606.t2.t3 t606.t2.t5))
% 48.61/48.84 (step t606.t2.t7 (cl (= (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv_simplify)
% 48.61/48.84 (step t606.t2.t8 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv2 :premises (t606.t2.t7))
% 48.61/48.84 (step t606.t2.t9 (cl (not (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule not_not)
% 48.61/48.84 (step t606.t2.t10 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t606.t2.t8 t606.t2.t9))
% 48.61/48.84 (step t606.t2.t11 (cl (= (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) false)) :rule resolution :premises (t606.t2.t10 t606.t2.a0))
% 48.61/48.84 (step t606.t2.t12 (cl (= (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)) false)) :rule trans :premises (t606.t2.t6 t606.t2.t11))
% 48.61/48.84 (step t606.t2.t13 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t606.t2.t2 t606.t2.t12))
% 48.61/48.84 (step t606.t2 (cl (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t606.t2.a0 t606.t2.a1))
% 48.61/48.84 (step t606.t3 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t606.t4 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule and_pos)
% 48.61/48.84 (step t606.t5 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t606.t2 t606.t3 t606.t4))
% 48.61/48.84 (step t606.t6 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t606.t5))
% 48.61/48.84 (step t606.t7 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t606.t6))
% 48.61/48.84 (step t606.t8 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t606.t1 t606.t7))
% 48.61/48.84 (step t606.t9 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t606.t10 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t606.t8 t606.t9))
% 48.61/48.84 (step t606.t11 (cl (=> (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t606.t10))
% 48.61/48.84 (step t606.t12 (cl (not (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t606.t11))
% 48.61/48.84 (step t606.t13 (cl (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule and_neg)
% 48.61/48.84 (step t606.t14 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (= tptp.sk5 tptp.sk6)) :rule implies_neg1)
% 48.61/48.84 (anchor :step t606.t15)
% 48.61/48.84 (assume t606.t15.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.84 (step t606.t15.t1 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t606.t15.a0))
% 48.61/48.84 (step t606.t15.t2 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t606.t15.t1))
% 48.61/48.84 (step t606.t15.t3 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.84 (step t606.t15.t4 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t606.t15.t2 t606.t15.t3))
% 48.61/48.84 (step t606.t15 (cl (not (= tptp.sk5 tptp.sk6)) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule subproof :discharge (t606.t15.a0))
% 48.61/48.84 (step t606.t16 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t606.t14 t606.t15))
% 48.61/48.84 (step t606.t17 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule implies_neg2)
% 48.61/48.84 (step t606.t18 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t606.t16 t606.t17))
% 48.61/48.84 (step t606.t19 (cl (=> (= tptp.sk5 tptp.sk6) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule contraction :premises (t606.t18))
% 48.61/48.84 (step t606.t20 (cl (not (= tptp.sk5 tptp.sk6)) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule implies :premises (t606.t19))
% 48.61/48.84 (step t606.t21 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule resolution :premises (t606.t20 t606.a0))
% 48.61/48.84 (step t606.t22 (cl (and (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t606.t13 t606.a1 t606.t21))
% 48.61/48.84 (step t606.t23 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t606.t12 t606.t22))
% 48.61/48.84 (step t606 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t606.a0 t606.a1))
% 48.61/48.84 (step t607 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.84 (step t608 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule and_pos)
% 48.61/48.84 (step t609 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))) (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t606 t607 t608))
% 48.61/48.84 (step t610 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule reordering :premises (t609))
% 48.61/48.84 (step t611 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule contraction :premises (t610))
% 48.61/48.84 (step t612 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t605 t611))
% 48.61/48.84 (step t613 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t614 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t612 t613))
% 48.61/48.84 (step t615 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t614))
% 48.61/48.84 (step t616 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t615))
% 48.61/48.84 (step t617 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t604 t616))
% 48.61/48.84 (step t618 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.61/48.84 (step t619 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.61/48.84 (step t620 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule or_neg)
% 48.61/48.84 (step t621 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t617 t618 t619 t620))
% 48.61/48.84 (step t622 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t621))
% 48.61/48.84 (step t623 (cl (or (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t591 t603 t622))
% 48.61/48.84 (step t624 (cl (not (= tptp.sk5 tptp.sk6)) (= tptp.nil (tptp.cons tptp.sk6 tptp.nil)) (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t623))
% 48.61/48.84 (step t625 (cl (not (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t624 t236 t428))
% 48.61/48.84 (step t626 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t627)
% 48.61/48.84 (assume t627.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 48.61/48.84 (step t627.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V (tptp.cons tptp.sk5 tptp.nil))))
% 48.61/48.84 (step t627.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule or :premises (t627.t1))
% 48.61/48.84 (step t627.t3 (cl (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t627.t2 t627.a0))
% 48.61/48.84 (step t627 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule subproof :discharge (t627.a0))
% 48.61/48.84 (step t628 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t626 t627))
% 48.61/48.84 (step t629 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule implies_neg2)
% 48.61/48.84 (step t630 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t628 t629))
% 48.61/48.84 (step t631 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil))))) :rule contraction :premises (t630))
% 48.61/48.84 (step t632 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V)))) (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule implies :premises (t631))
% 48.61/48.84 (step t633 (cl (or (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil (tptp.cons tptp.sk5 tptp.nil)))) :rule resolution :premises (t632 t536))
% 48.61/48.84 (step t634 (cl (not (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t590 a193 t265 t625 t633))
% 48.61/48.84 (step t635 (cl (not (= (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) (not (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule equiv_pos2)
% 48.61/48.84 (step t636 (cl (= (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)))) (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)))))) :rule refl)
% 48.61/48.84 (step t637 (cl (= (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t638 (cl (= (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t639 (cl (= (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 48.61/48.84 (step t640 (cl (= (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t637 t454 t638 t639))
% 48.61/48.84 (step t641 (cl (= (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))))) :rule cong :premises (t636 t640))
% 48.61/48.84 (step t642 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (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))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t643)
% 48.61/48.84 (assume t643.a0 (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)))))
% 48.61/48.84 (step t643.t1 (cl (or (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil)) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.84 (step t643.t2 (cl (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule or :premises (t643.t1))
% 48.61/48.84 (step t643.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t643.t2 t643.a0))
% 48.61/48.84 (step t643 (cl (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule subproof :discharge (t643.a0))
% 48.61/48.84 (step t644 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t642 t643))
% 48.61/48.84 (step t645 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule implies_neg2)
% 48.61/48.84 (step t646 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t644 t645))
% 48.61/48.84 (step t647 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule contraction :premises (t646))
% 48.61/48.84 (step t648 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t635 t641 t647))
% 48.61/48.84 (step t649 (cl (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies :premises (t648))
% 48.61/48.84 (step t650 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t649 a122))
% 48.61/48.84 (step t651 (cl (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t588 t264 t274 t634 t650))
% 48.61/48.84 (step t652 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or_pos)
% 48.61/48.84 (step t653 (cl (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule reordering :premises (t652))
% 48.61/48.84 (step t654 (cl (not (= (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) (not (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule equiv_pos2)
% 48.61/48.84 (step t655 (cl (= (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))))) :rule refl)
% 48.61/48.84 (step t656 (cl (= (= tptp.nil tptp.sk7) (= tptp.nil tptp.sk7))) :rule refl)
% 48.61/48.84 (step t657 (cl (= (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule all_simplify)
% 48.61/48.84 (step t658 (cl (= (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t655 t455 t656 t657))
% 48.61/48.84 (step t659 (cl (= (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))))) :rule cong :premises (t636 t658))
% 48.61/48.84 (step t660 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (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))))) :rule implies_neg1)
% 48.61/48.84 (anchor :step t661)
% 48.61/48.84 (assume t661.a0 (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)))))
% 48.61/48.84 (step t661.t1 (cl (or (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk5 tptp.nil)) (:= V tptp.sk7)))
% 48.61/48.85 (step t661.t2 (cl (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule or :premises (t661.t1))
% 48.61/48.85 (step t661.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule resolution :premises (t661.t2 t661.a0))
% 48.61/48.85 (step t661 (cl (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule subproof :discharge (t661.a0))
% 48.61/48.85 (step t662 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) :rule resolution :premises (t660 t661))
% 48.61/48.85 (step t663 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (not (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule implies_neg2)
% 48.61/48.85 (step t664 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7)))) (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule resolution :premises (t662 t663))
% 48.61/48.85 (step t665 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.hd tptp.sk7))))) :rule contraction :premises (t664))
% 48.61/48.85 (step t666 (cl (=> (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)))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule resolution :premises (t654 t659 t665))
% 48.61/48.85 (step t667 (cl (not (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))))) (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies :premises (t666))
% 48.61/48.85 (step t668 (cl (or (not (tptp.ssList (tptp.cons tptp.sk5 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= (tptp.hd tptp.sk7) (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t667 a122))
% 48.61/48.85 (step t669 (cl (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)) :rule or_pos)
% 48.61/48.85 (step t670 (cl (not (tptp.ssList tptp.sk7)) (= tptp.nil tptp.sk7) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule reordering :premises (t669))
% 48.61/48.85 (step t671 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t672)
% 48.61/48.85 (assume t672.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))
% 48.61/48.85 (step t672.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule forall_inst :args ((:= U tptp.sk7)))
% 48.61/48.85 (step t672.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule or :premises (t672.t1))
% 48.61/48.85 (step t672.t3 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t672.t2 t672.a0))
% 48.61/48.85 (step t672 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule subproof :discharge (t672.a0))
% 48.61/48.85 (step t673 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t671 t672))
% 48.61/48.85 (step t674 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (not (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule implies_neg2)
% 48.61/48.85 (step t675 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule resolution :premises (t673 t674))
% 48.61/48.85 (step t676 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7)))) :rule contraction :premises (t675))
% 48.61/48.85 (step t677 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule implies :premises (t676))
% 48.61/48.85 (step t678 (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)
% 48.61/48.85 (anchor :step t679 :args ((U $$unsorted) (:= U U)))
% 48.61/48.85 (step t679.t1 (cl (= U U)) :rule refl)
% 48.61/48.85 (step t679.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.85 (step t679.t3 (cl (= (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))))) :rule all_simplify)
% 48.61/48.85 (step t679.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 48.61/48.85 (step t679.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule cong :premises (t679.t2 t679.t3 t679.t4))
% 48.61/48.85 (step t679 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) :rule bind)
% 48.61/48.85 (step t680 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U)))) :rule resolution :premises (t678 t679 a108))
% 48.61/48.85 (step t681 (cl (or (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.cons (tptp.skaf83 tptp.sk7) (tptp.skaf82 tptp.sk7))) (= tptp.nil tptp.sk7))) :rule resolution :premises (t677 t680))
% 48.61/48.85 (step t682 (cl (= tptp.nil tptp.sk7) (= tptp.nil tptp.sk7)) :rule resolution :premises (t181 t358 t471 t498 t512 t560 t575 t586 t651 t236 t653 t265 t668 a193 t670 t681 a193))
% 48.61/48.85 (step t683 (cl (= tptp.nil tptp.sk7)) :rule contraction :premises (t682))
% 48.61/48.85 (step t684 (cl (not (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.85 (step t685 (cl (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t684))
% 48.61/48.85 (step t686 (cl (not (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (not (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.85 (step t687 (cl (= (= (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true) (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.85 (step t688 (cl (not (= (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t687))
% 48.61/48.85 (step t689 (cl (= (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))))) :rule all_simplify)
% 48.61/48.85 (step t690 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule refl)
% 48.61/48.85 (step t691 (cl (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.61/48.85 (step t692 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t690 t691))
% 48.61/48.85 (step t693 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule all_simplify)
% 48.61/48.85 (step t694 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) true)) :rule trans :premises (t692 t693))
% 48.61/48.85 (step t695 (cl (= (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) true)) :rule trans :premises (t689 t694))
% 48.61/48.85 (step t696 (cl (= (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t688 t695))
% 48.61/48.85 (step t697 (cl (= (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.85 (step t698 (cl (= (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t3 t696 t697))
% 48.61/48.85 (step t699 (cl (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule and_neg)
% 48.61/48.85 (step t700 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t701)
% 48.61/48.85 (assume t701.a0 (= tptp.sk5 tptp.sk6))
% 48.61/48.85 (assume t701.a1 (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.85 (step t701.t1 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t701.t2)
% 48.61/48.85 (assume t701.t2.a0 (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))
% 48.61/48.85 (assume t701.t2.a1 (= tptp.sk5 tptp.sk6))
% 48.61/48.85 (step t701.t2.t1 (cl (= (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.85 (step t701.t2.t2 (cl (not (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule equiv1 :premises (t701.t2.t1))
% 48.61/48.85 (step t701.t2.t3 (cl (not (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false))) (not (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) :rule equiv_pos2)
% 48.61/48.85 (step t701.t2.t4 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule all_simplify)
% 48.61/48.85 (step t701.t2.t5 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.61/48.85 (step t701.t2.t6 (cl (= (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t701.t2.t5))
% 48.61/48.85 (step t701.t2.t7 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule trans :premises (t701.t2.t4 t701.t2.t6))
% 48.61/48.85 (step t701.t2.t8 (cl (= (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule all_simplify)
% 48.61/48.85 (step t701.t2.t9 (cl (= (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false))) :rule symm :premises (t701.t2.t8))
% 48.61/48.85 (step t701.t2.t10 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false) (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false))) :rule trans :premises (t701.t2.t7 t701.t2.t9))
% 48.61/48.85 (step t701.t2.t11 (cl (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) :rule refl)
% 48.61/48.85 (step t701.t2.t12 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 48.61/48.85 (step t701.t2.t13 (cl (= tptp.sk6 tptp.sk5)) :rule symm :premises (t701.t2.a1))
% 48.61/48.85 (step t701.t2.t14 (cl (= tptp.sk5 tptp.sk6)) :rule symm :premises (t701.t2.t13))
% 48.61/48.85 (step t701.t2.t15 (cl (= tptp.nil tptp.nil)) :rule refl)
% 48.61/48.85 (step t701.t2.t16 (cl (= (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil))) :rule cong :premises (t701.t2.t14 t701.t2.t15))
% 48.61/48.85 (step t701.t2.t17 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule cong :premises (t701.t2.t12 t701.t2.t16))
% 48.61/48.85 (step t701.t2.t18 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule cong :premises (t701.t2.t11 t701.t2.t17))
% 48.61/48.85 (step t701.t2.t19 (cl (= (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_simplify)
% 48.61/48.85 (step t701.t2.t20 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv2 :premises (t701.t2.t19))
% 48.61/48.85 (step t701.t2.t21 (cl (not (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule not_not)
% 48.61/48.85 (step t701.t2.t22 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t701.t2.t20 t701.t2.t21))
% 48.61/48.85 (step t701.t2.t23 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t701.t2.t22 t701.t2.a0))
% 48.61/48.85 (step t701.t2.t24 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) false)) :rule trans :premises (t701.t2.t18 t701.t2.t23))
% 48.61/48.85 (step t701.t2.t25 (cl (= (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) false)) :rule resolution :premises (t701.t2.t3 t701.t2.t10 t701.t2.t24))
% 48.61/48.85 (step t701.t2.t26 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t701.t2.t2 t701.t2.t25))
% 48.61/48.85 (step t701.t2 (cl (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t701.t2.a0 t701.t2.a1))
% 48.61/48.85 (step t701.t3 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.85 (step t701.t4 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.85 (step t701.t5 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)))) :rule resolution :premises (t701.t2 t701.t3 t701.t4))
% 48.61/48.85 (step t701.t6 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t701.t5))
% 48.61/48.85 (step t701.t7 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t701.t6))
% 48.61/48.85 (step t701.t8 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t701.t1 t701.t7))
% 48.61/48.85 (step t701.t9 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.85 (step t701.t10 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t701.t8 t701.t9))
% 48.61/48.85 (step t701.t11 (cl (=> (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t701.t10))
% 48.61/48.85 (step t701.t12 (cl (not (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t701.t11))
% 48.61/48.85 (step t701.t13 (cl (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= tptp.sk5 tptp.sk6))) :rule and_neg)
% 48.61/48.85 (step t701.t14 (cl (and (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (= tptp.sk5 tptp.sk6))) :rule resolution :premises (t701.t13 t701.a1 t701.a0))
% 48.61/48.85 (step t701.t15 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t701.t12 t701.t14))
% 48.61/48.85 (step t701 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t701.a0 t701.a1))
% 48.61/48.85 (step t702 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (= tptp.sk5 tptp.sk6)) :rule and_pos)
% 48.61/48.85 (step t703 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule and_pos)
% 48.61/48.85 (step t704 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule resolution :premises (t701 t702 t703))
% 48.61/48.85 (step t705 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule reordering :premises (t704))
% 48.61/48.85 (step t706 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule contraction :premises (t705))
% 48.61/48.85 (step t707 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t700 t706))
% 48.61/48.85 (step t708 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.85 (step t709 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t707 t708))
% 48.61/48.85 (step t710 (cl (=> (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t709))
% 48.61/48.85 (step t711 (cl (not (and (= tptp.sk5 tptp.sk6) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t710))
% 48.61/48.85 (step t712 (cl (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t699 t711))
% 48.61/48.85 (step t713 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= tptp.sk5 tptp.sk6)))) :rule or_neg)
% 48.61/48.85 (step t714 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))))) :rule or_neg)
% 48.61/48.85 (step t715 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (not (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule or_neg)
% 48.61/48.85 (step t716 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t712 t713 t714 t715))
% 48.61/48.85 (step t717 (cl (or (not (= tptp.sk5 tptp.sk6)) (not (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t716))
% 48.61/48.85 (step t718 (cl (or (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t686 t698 t717))
% 48.61/48.85 (step t719 (cl (not (= tptp.sk5 tptp.sk6)) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))) (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t718))
% 48.61/48.85 (step t720 (cl (not (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.61/48.85 (step t721 (cl (not (tptp.ssList tptp.sk7)) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t720))
% 48.61/48.85 (step t722 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.85 (step t723 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$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))))) :rule refl)
% 48.61/48.85 (step t724 (cl (= (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.85 (step t725 (cl (= (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule cong :premises (t724 t454 t637 t455 t456))
% 48.61/48.85 (step t726 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))))) :rule cong :premises (t723 t725))
% 48.61/48.85 (step t727 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (forall ((U $$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)))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t728)
% 48.61/48.85 (assume t728.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))
% 48.61/48.85 (step t728.t1 (cl (or (not (forall ((U $$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)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (:= V (tptp.cons tptp.sk6 tptp.nil)) (:= W tptp.sk7)))
% 48.61/48.85 (step t728.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule or :premises (t728.t1))
% 48.61/48.85 (step t728.t3 (cl (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t728.t2 t728.a0))
% 48.61/48.85 (step t728 (cl (not (forall ((U $$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)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule subproof :discharge (t728.a0))
% 48.61/48.85 (step t729 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) :rule resolution :premises (t727 t728))
% 48.61/48.85 (step t730 (cl (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (not (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule implies_neg2)
% 48.61/48.85 (step t731 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7))) (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule resolution :premises (t729 t730))
% 48.61/48.85 (step t732 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) tptp.sk7)))) :rule contraction :premises (t731))
% 48.61/48.85 (step t733 (cl (=> (forall ((U $$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))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t722 t726 t732))
% 48.61/48.85 (step t734 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W)))) (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t733))
% 48.61/48.85 (step t735 (cl (or (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (not (tptp.ssList tptp.sk7)) (= tptp.sk7 (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t734 a150))
% 48.61/48.85 (step t736 (cl (not (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t721 a193 t264 t274 t438 t735))
% 48.61/48.85 (step t737 (cl (not (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t719 t236 t736))
% 48.61/48.85 (step t738 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule equiv_pos2)
% 48.61/48.85 (step t739 (cl (= (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule refl)
% 48.61/48.85 (step t740 (cl (= (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.85 (step t741 (cl (= (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule refl)
% 48.61/48.85 (step t742 (cl (= (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule all_simplify)
% 48.61/48.85 (step t743 (cl (= (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule cong :premises (t739 t740 t741 t454 t742))
% 48.61/48.85 (step t744 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))))) :rule cong :premises (t451 t743))
% 48.61/48.85 (step t745 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t746)
% 48.61/48.85 (assume t746.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))
% 48.61/48.85 (step t746.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))) (:= V (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.85 (step t746.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t746.t1))
% 48.61/48.85 (step t746.t3 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t746.t2 t746.a0))
% 48.61/48.85 (step t746 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t746.a0))
% 48.61/48.85 (step t747 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t745 t746))
% 48.61/48.85 (step t748 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.85 (step t749 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t747 t748))
% 48.61/48.85 (step t750 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t749))
% 48.61/48.85 (step t751 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t738 t744 t750))
% 48.61/48.85 (step t752 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V)))) (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t751))
% 48.61/48.85 (step t753 (cl (or (not (tptp.frontsegP (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)) (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil)))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t752 t469))
% 48.61/48.85 (step t754 (cl (not (tptp.frontsegP (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t685 t274 t310 t328 t737 t753))
% 48.61/48.85 (step t755 (cl (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) :rule or_pos)
% 48.61/48.85 (step t756 (cl (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule reordering :premises (t755))
% 48.61/48.85 (step t757 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t758)
% 48.61/48.85 (assume t758.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))
% 48.61/48.85 (step t758.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))
% 48.61/48.85 (step t758.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule or :premises (t758.t1))
% 48.61/48.85 (step t758.t3 (cl (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t758.t2 t758.a0))
% 48.61/48.85 (step t758 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule subproof :discharge (t758.a0))
% 48.61/48.85 (step t759 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t757 t758))
% 48.61/48.85 (step t760 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (not (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.85 (step t761 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t759 t760))
% 48.61/48.85 (step t762 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule contraction :premises (t761))
% 48.61/48.85 (step t763 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule implies :premises (t762))
% 48.61/48.85 (step t764 (cl (not (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))) (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule equiv_pos2)
% 48.61/48.85 (anchor :step t765 :args ((U $$unsorted) (:= U U)))
% 48.61/48.85 (step t765.t1 (cl (= U U)) :rule refl)
% 48.61/48.85 (step t765.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.85 (step t765.t3 (cl (= (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= U (tptp.cons (tptp.hd U) (tptp.tl U))))) :rule all_simplify)
% 48.61/48.85 (step t765.t4 (cl (= (= tptp.nil U) (= tptp.nil U))) :rule refl)
% 48.61/48.85 (step t765.t5 (cl (= (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule cong :premises (t765.t2 t765.t3 t765.t4))
% 48.61/48.85 (step t765 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))) :rule bind)
% 48.61/48.85 (step t766 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U)))) :rule resolution :premises (t764 t765 a103))
% 48.61/48.85 (step t767 (cl (or (not (tptp.ssList (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))) (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) (= tptp.nil (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))))) :rule resolution :premises (t763 t766))
% 48.61/48.85 (step t768 (cl (= (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)) (tptp.cons (tptp.hd (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil))) (tptp.tl (tptp.app tptp.sk7 (tptp.cons tptp.sk5 tptp.nil)))))) :rule resolution :premises (t756 t274 t634 t767))
% 48.61/48.85 (step t769 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.85 (step t770 (cl (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t769))
% 48.61/48.85 (step t771 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t772)
% 48.61/48.85 (assume t772.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 48.61/48.85 (step t772.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk6 tptp.nil))))
% 48.61/48.85 (step t772.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t772.t1))
% 48.61/48.85 (step t772.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t772.t2 t772.a0))
% 48.61/48.85 (step t772 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t772.a0))
% 48.61/48.85 (step t773 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t771 t772))
% 48.61/48.85 (step t774 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.85 (step t775 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t773 t774))
% 48.61/48.85 (step t776 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t775))
% 48.61/48.85 (step t777 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t776))
% 48.61/48.85 (step t778 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule equiv_pos2)
% 48.61/48.85 (anchor :step t779 :args ((U $$unsorted) (:= U U)))
% 48.61/48.85 (step t779.t1 (cl (= U U)) :rule refl)
% 48.61/48.85 (step t779.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 48.61/48.85 (step t779.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 48.61/48.85 (step t779.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 (t779.t2 t779.t3))
% 48.61/48.85 (step t779 (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)
% 48.61/48.85 (step t780 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t778 t779 a73))
% 48.61/48.85 (step t781 (cl (or (not (tptp.ssList (tptp.cons tptp.sk6 tptp.nil))) (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t777 t780))
% 48.61/48.85 (step t782 (cl (= (tptp.cons tptp.sk6 tptp.nil) (tptp.app tptp.nil (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t770 t264 t781))
% 48.61/48.85 (step t783 (cl (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule or_pos)
% 48.61/48.85 (step t784 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk6)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule reordering :premises (t783))
% 48.61/48.85 (step t785 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule implies_neg1)
% 48.61/48.85 (anchor :step t786)
% 48.61/48.85 (assume t786.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))
% 48.61/48.85 (step t786.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule forall_inst :args ((:= U tptp.sk6) (:= V tptp.nil)))
% 48.61/48.85 (step t786.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule or :premises (t786.t1))
% 48.61/48.85 (step t786.t3 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t786.t2 t786.a0))
% 48.61/48.85 (step t786 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule subproof :discharge (t786.a0))
% 48.61/48.85 (step t787 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t785 t786))
% 48.61/48.85 (step t788 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (not (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule implies_neg2)
% 48.61/48.85 (step t789 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule resolution :premises (t787 t788))
% 48.61/48.85 (step t790 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))))) :rule contraction :premises (t789))
% 48.61/48.85 (step t791 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule implies :premises (t790))
% 48.61/48.85 (step t792 (cl (not (= (forall ((U $$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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule equiv_pos2)
% 48.61/48.85 (anchor :step t793 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V)))
% 48.61/48.85 (step t793.t1 (cl (= U U)) :rule refl)
% 48.61/48.85 (step t793.t2 (cl (= V V)) :rule refl)
% 48.61/48.85 (step t793.t3 (cl (= (not (tptp.ssItem U)) (not (tptp.ssItem U)))) :rule refl)
% 48.61/48.85 (step t793.t4 (cl (= (not (tptp.ssList V)) (not (tptp.ssList V)))) :rule refl)
% 48.61/48.85 (step t793.t5 (cl (= (= (tptp.tl (tptp.cons U V)) V) (= V (tptp.tl (tptp.cons U V))))) :rule all_simplify)
% 48.61/48.85 (step t793.t6 (cl (= (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule cong :premises (t793.t3 t793.t4 t793.t5))
% 48.61/48.85 (step t793 (cl (= (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) :rule bind)
% 48.61/48.85 (step t794 (cl (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V)))))) :rule resolution :premises (t792 t793 a95))
% 48.61/48.85 (step t795 (cl (or (not (tptp.ssItem tptp.sk6)) (not (tptp.ssList tptp.nil)) (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil))))) :rule resolution :premises (t791 t794))
% 48.61/48.85 (step t796 (cl (= tptp.nil (tptp.tl (tptp.cons tptp.sk6 tptp.nil)))) :rule resolution :premises (t784 a7 a192 t795))
% 48.61/48.85 (step t797 (cl) :rule resolution :premises (t93 t683 t754 t768 t782 t560 t575 t586 t339 t651 t796 t236))
% 48.61/48.85
% 48.61/48.85 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.vQNWQLdIJ3/cvc5---1.0.5_9280.smt2
% 48.61/48.85 % cvc5---1.0.5 exiting
% 48.61/48.85 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------