TSTP Solution File: SWC304-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC304-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:01:24 EDT 2024
% Result : Unsatisfiable 78.16s 78.44s
% Output : Proof 78.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC304-1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.11 % Command : do_cvc5 %s %d
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Sun May 26 16:03:53 EDT 2024
% 0.11/0.29 % CPUTime :
% 0.15/0.41 %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.42/10.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.45/15.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.50/20.68 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.52/25.76 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.69/30.89 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.71/35.93 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.84/41.04 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.98/46.27 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.10/51.36 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.11/56.39 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.18/61.47 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.34/66.58 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.36/76.65 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 78.16/78.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.RrFAVAXM8b/cvc5---1.0.5_1813.smt2
% 78.16/78.44 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.RrFAVAXM8b/cvc5---1.0.5_1813.smt2
% 78.16/78.47 (assume a0 (tptp.equalelemsP tptp.nil))
% 78.16/78.47 (assume a1 (tptp.duplicatefreeP tptp.nil))
% 78.16/78.47 (assume a2 (tptp.strictorderedP tptp.nil))
% 78.16/78.47 (assume a3 (tptp.totalorderedP tptp.nil))
% 78.16/78.47 (assume a4 (tptp.strictorderP tptp.nil))
% 78.16/78.47 (assume a5 (tptp.totalorderP tptp.nil))
% 78.16/78.47 (assume a6 (tptp.cyclefreeP tptp.nil))
% 78.16/78.47 (assume a7 (tptp.ssList tptp.nil))
% 78.16/78.47 (assume a8 (tptp.ssItem tptp.skac3))
% 78.16/78.47 (assume a9 (tptp.ssItem tptp.skac2))
% 78.16/78.47 (assume a10 (not (tptp.singletonP tptp.nil)))
% 78.16/78.47 (assume a11 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))
% 78.16/78.47 (assume a12 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))
% 78.16/78.47 (assume a13 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))))
% 78.16/78.47 (assume a14 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))))
% 78.16/78.47 (assume a15 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))))
% 78.16/78.47 (assume a16 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))))
% 78.16/78.47 (assume a17 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))
% 78.16/78.47 (assume a18 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))
% 78.16/78.47 (assume a19 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))
% 78.16/78.47 (assume a20 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))
% 78.16/78.47 (assume a21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))
% 78.16/78.47 (assume a22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))
% 78.16/78.47 (assume a23 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))
% 78.16/78.47 (assume a24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))
% 78.16/78.47 (assume a25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))
% 78.16/78.47 (assume a26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))
% 78.16/78.47 (assume a27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))
% 78.16/78.47 (assume a28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))
% 78.16/78.47 (assume a29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))
% 78.16/78.47 (assume a30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))
% 78.16/78.47 (assume a31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))))
% 78.16/78.47 (assume a32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))))
% 78.16/78.47 (assume a33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))))
% 78.16/78.47 (assume a34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))))
% 78.16/78.47 (assume a35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))))
% 78.16/78.47 (assume a36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))))
% 78.16/78.47 (assume a37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))))
% 78.16/78.47 (assume a38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))))
% 78.16/78.47 (assume a39 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))))
% 78.16/78.47 (assume a40 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))))
% 78.16/78.47 (assume a41 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))
% 78.16/78.47 (assume a42 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))
% 78.16/78.47 (assume a43 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))
% 78.16/78.47 (assume a44 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))
% 78.16/78.47 (assume a45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))
% 78.16/78.47 (assume a46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))
% 78.16/78.47 (assume a47 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))
% 78.16/78.47 (assume a48 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))
% 78.16/78.47 (assume a49 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))))
% 78.16/78.47 (assume a50 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))
% 78.16/78.47 (assume a51 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))
% 78.16/78.47 (assume a52 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))
% 78.16/78.47 (assume a53 (not (= tptp.skac3 tptp.skac2)))
% 78.16/78.47 (assume a54 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))))
% 78.16/78.47 (assume a55 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))
% 78.16/78.47 (assume a56 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))
% 78.16/78.47 (assume a57 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))))
% 78.16/78.47 (assume a58 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))))
% 78.16/78.47 (assume a59 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))
% 78.16/78.47 (assume a60 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))))
% 78.16/78.47 (assume a61 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))))
% 78.16/78.47 (assume a62 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 78.16/78.47 (assume a63 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a64 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a65 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a66 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a67 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a68 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a69 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))))
% 78.16/78.47 (assume a70 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))
% 78.16/78.47 (assume a71 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))
% 78.16/78.47 (assume a72 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))
% 78.16/78.47 (assume a73 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))
% 78.16/78.47 (assume a74 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 78.16/78.47 (assume a75 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.16/78.47 (assume a76 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))
% 78.16/78.47 (assume a77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))
% 78.16/78.47 (assume a78 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))
% 78.16/78.47 (assume a79 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.16/78.47 (assume a80 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))))
% 78.16/78.47 (assume a81 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.16/78.47 (assume a82 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))))
% 78.16/78.47 (assume a83 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.16/78.47 (assume a84 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.16/78.47 (assume a85 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.16/78.47 (assume a86 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))
% 78.16/78.47 (assume a87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))
% 78.16/78.47 (assume a88 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))))
% 78.16/78.47 (assume a89 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))
% 78.16/78.47 (assume a90 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))
% 78.16/78.47 (assume a91 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 78.16/78.47 (assume a92 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))))
% 78.16/78.47 (assume a93 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 78.16/78.47 (assume a94 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))))
% 78.16/78.47 (assume a95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))
% 78.16/78.47 (assume a96 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))
% 78.16/78.47 (assume a97 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.16/78.47 (assume a98 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))
% 78.16/78.47 (assume a99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))
% 78.16/78.47 (assume a100 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))
% 78.16/78.47 (assume a101 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))
% 78.16/78.47 (assume a102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))
% 78.16/78.47 (assume a103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (assume a108 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))
% 78.16/78.47 (assume a109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.16/78.47 (assume a110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 78.16/78.47 (assume a111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))))
% 78.16/78.47 (assume a112 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))))
% 78.16/78.47 (assume a113 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.16/78.47 (assume a114 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))
% 78.16/78.47 (assume a115 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))))
% 78.16/78.47 (assume a116 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))))
% 78.16/78.47 (assume a117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))
% 78.16/78.47 (assume a118 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))
% 78.16/78.47 (assume a119 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))
% 78.16/78.47 (assume a120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.16/78.47 (assume a121 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.16/78.47 (assume a122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))
% 78.16/78.47 (assume a123 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))))
% 78.16/78.47 (assume a124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))))
% 78.16/78.47 (assume a125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 78.16/78.47 (assume a126 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.16/78.47 (assume a127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.16/78.47 (assume a128 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))
% 78.16/78.47 (assume a129 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))
% 78.16/78.47 (assume a130 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))))
% 78.16/78.47 (assume a131 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))
% 78.16/78.47 (assume a132 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))
% 78.16/78.47 (assume a133 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))))
% 78.16/78.47 (assume a134 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))))
% 78.16/78.47 (assume a135 (forall ((U $$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))))
% 78.16/78.47 (assume a136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))
% 78.16/78.47 (assume a137 (forall ((U $$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))))
% 78.16/78.47 (assume a138 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))))
% 78.16/78.47 (assume a139 (forall ((U $$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))))
% 78.16/78.47 (assume a140 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))))
% 78.16/78.47 (assume a141 (forall ((U $$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))))
% 78.16/78.47 (assume a142 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))
% 78.16/78.47 (assume a143 (forall ((U $$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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (assume a145 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))))
% 78.16/78.47 (assume a146 (forall ((U $$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))))
% 78.16/78.47 (assume a147 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))))
% 78.16/78.47 (assume a148 (forall ((U $$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))))))
% 78.16/78.47 (assume a149 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))
% 78.16/78.47 (assume a150 (forall ((U $$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))))
% 78.16/78.47 (assume a151 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))))
% 78.16/78.47 (assume a152 (forall ((U $$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))))
% 78.16/78.47 (assume a153 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))
% 78.16/78.47 (assume a154 (forall ((U $$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))))
% 78.16/78.47 (assume a155 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))))
% 78.16/78.47 (assume a156 (forall ((U $$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)))))
% 78.16/78.47 (assume a157 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))))
% 78.16/78.47 (assume a158 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))))
% 78.16/78.47 (assume a159 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))))
% 78.16/78.47 (assume a160 (forall ((U $$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))))
% 78.16/78.47 (assume a161 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons (tptp.skaf74 U) (tptp.skaf76 U))) (tptp.cons (tptp.skaf74 U) (tptp.skaf77 U))) U))))
% 78.16/78.47 (assume a162 (forall ((U $$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))))
% 78.16/78.47 (assume a163 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))))
% 78.16/78.47 (assume a164 (forall ((U $$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))))
% 78.16/78.47 (assume a165 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))))
% 78.16/78.47 (assume a166 (forall ((U $$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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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)))))
% 78.16/78.47 (assume a178 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))
% 78.16/78.47 (assume a179 (forall ((U $$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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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))))
% 78.16/78.47 (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)))))
% 78.16/78.47 (assume a185 (tptp.ssList tptp.sk1))
% 78.16/78.47 (assume a186 (tptp.ssList tptp.sk2))
% 78.16/78.47 (assume a187 (tptp.ssList tptp.sk3))
% 78.16/78.47 (assume a188 (tptp.ssList tptp.sk4))
% 78.16/78.47 (assume a189 (= tptp.sk2 tptp.sk4))
% 78.16/78.47 (assume a190 (= tptp.sk1 tptp.sk3))
% 78.16/78.47 (assume a191 (tptp.ssList tptp.sk5))
% 78.16/78.47 (assume a192 (tptp.ssList tptp.sk6))
% 78.16/78.47 (assume a193 (= (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6) tptp.sk4))
% 78.16/78.47 (assume a194 (tptp.totalorderedP tptp.sk3))
% 78.16/78.47 (assume a195 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (= (tptp.app B (tptp.cons A tptp.nil)) tptp.sk5)) (not (tptp.ssItem C)) (not (tptp.ssList D)) (not (= (tptp.app (tptp.cons C tptp.nil) D) tptp.sk3)) (not (tptp.leq A C)))))
% 78.16/78.47 (assume a196 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (= (tptp.app (tptp.cons A tptp.nil) B) tptp.sk6)) (not (tptp.ssItem C)) (not (tptp.ssList D)) (not (= (tptp.app D (tptp.cons C tptp.nil)) tptp.sk3)) (not (tptp.leq C A)))))
% 78.16/78.47 (assume a197 (tptp.ssItem tptp.sk7))
% 78.16/78.47 (assume a198 (tptp.ssItem tptp.sk8))
% 78.16/78.47 (assume a199 (tptp.ssList tptp.sk9))
% 78.16/78.47 (assume a200 (tptp.ssList tptp.sk10))
% 78.16/78.47 (assume a201 (tptp.ssList tptp.sk11))
% 78.16/78.47 (assume a202 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) tptp.sk1))
% 78.16/78.47 (assume a203 (tptp.lt tptp.sk8 tptp.sk7))
% 78.16/78.47 (assume a204 (or (= tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk3))))
% 78.16/78.47 (step t1 (cl (not (= (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (tptp.lt tptp.sk8 tptp.sk8) (not (= tptp.sk7 tptp.sk8))))) (not (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (tptp.lt tptp.sk8 tptp.sk8) (not (= tptp.sk7 tptp.sk8)))) :rule equiv_pos2)
% 78.16/78.47 (step t2 (cl (= (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk8 tptp.sk7)))) :rule refl)
% 78.16/78.47 (step t3 (cl (= (= (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8)) true) (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8)))) :rule equiv_simplify)
% 78.16/78.47 (step t4 (cl (not (= (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8)) true)) (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8))) :rule equiv1 :premises (t3))
% 78.16/78.47 (step t5 (cl (= (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8)) (= (tptp.lt tptp.sk8 tptp.sk8) (not (not (tptp.lt tptp.sk8 tptp.sk8)))))) :rule all_simplify)
% 78.16/78.47 (step t6 (cl (= (tptp.lt tptp.sk8 tptp.sk8) (tptp.lt tptp.sk8 tptp.sk8))) :rule refl)
% 78.16/78.47 (step t7 (cl (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8))) :rule all_simplify)
% 78.16/78.47 (step t8 (cl (= (= (tptp.lt tptp.sk8 tptp.sk8) (not (not (tptp.lt tptp.sk8 tptp.sk8)))) (= (tptp.lt tptp.sk8 tptp.sk8) (tptp.lt tptp.sk8 tptp.sk8)))) :rule cong :premises (t6 t7))
% 78.16/78.47 (step t9 (cl (= (= (tptp.lt tptp.sk8 tptp.sk8) (tptp.lt tptp.sk8 tptp.sk8)) true)) :rule all_simplify)
% 78.16/78.47 (step t10 (cl (= (= (tptp.lt tptp.sk8 tptp.sk8) (not (not (tptp.lt tptp.sk8 tptp.sk8)))) true)) :rule trans :premises (t8 t9))
% 78.16/78.47 (step t11 (cl (= (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8)) true)) :rule trans :premises (t5 t10))
% 78.16/78.47 (step t12 (cl (= (not (not (tptp.lt tptp.sk8 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk8))) :rule resolution :premises (t4 t11))
% 78.16/78.47 (step t13 (cl (= (not (= tptp.sk7 tptp.sk8)) (not (= tptp.sk7 tptp.sk8)))) :rule refl)
% 78.16/78.47 (step t14 (cl (= (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (tptp.lt tptp.sk8 tptp.sk8) (not (= tptp.sk7 tptp.sk8))))) :rule cong :premises (t2 t12 t13))
% 78.16/78.47 (step t15 (cl (not (= (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))))) (not (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)))) :rule equiv_pos2)
% 78.16/78.47 (step t16 (cl (= (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)))) :rule refl)
% 78.16/78.47 (step t17 (cl (= (= (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))))) :rule equiv_simplify)
% 78.16/78.47 (step t18 (cl (= (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (not (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))))) :rule equiv2 :premises (t17))
% 78.16/78.47 (step t19 (cl (not (not (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))))) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule not_not)
% 78.16/78.47 (step t20 (cl (= (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule resolution :premises (t18 t19))
% 78.16/78.47 (step t21 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule implies_neg1)
% 78.16/78.47 (anchor :step t22)
% 78.16/78.47 (assume t22.a0 (tptp.lt tptp.sk8 tptp.sk7))
% 78.16/78.47 (assume t22.a1 (= tptp.sk7 tptp.sk8))
% 78.16/78.47 (assume t22.a2 (not (tptp.lt tptp.sk8 tptp.sk8)))
% 78.16/78.47 (step t22.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 78.16/78.47 (step t22.t2 (cl (= (= false true) false)) :rule all_simplify)
% 78.16/78.47 (step t22.t3 (cl (= (= (tptp.lt tptp.sk8 tptp.sk8) false) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule equiv_simplify)
% 78.16/78.47 (step t22.t4 (cl (= (tptp.lt tptp.sk8 tptp.sk8) false) (not (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule equiv2 :premises (t22.t3))
% 78.16/78.47 (step t22.t5 (cl (not (not (not (tptp.lt tptp.sk8 tptp.sk8)))) (tptp.lt tptp.sk8 tptp.sk8)) :rule not_not)
% 78.16/78.47 (step t22.t6 (cl (= (tptp.lt tptp.sk8 tptp.sk8) false) (tptp.lt tptp.sk8 tptp.sk8)) :rule resolution :premises (t22.t4 t22.t5))
% 78.16/78.47 (step t22.t7 (cl (= (tptp.lt tptp.sk8 tptp.sk8) false)) :rule resolution :premises (t22.t6 t22.a2))
% 78.16/78.47 (step t22.t8 (cl (= false (tptp.lt tptp.sk8 tptp.sk8))) :rule symm :premises (t22.t7))
% 78.16/78.47 (step t22.t9 (cl (= tptp.sk8 tptp.sk8)) :rule refl)
% 78.16/78.47 (step t22.t10 (cl (= tptp.sk8 tptp.sk7)) :rule symm :premises (t22.a1))
% 78.16/78.47 (step t22.t11 (cl (= (tptp.lt tptp.sk8 tptp.sk8) (tptp.lt tptp.sk8 tptp.sk7))) :rule cong :premises (t22.t9 t22.t10))
% 78.16/78.47 (step t22.t12 (cl (= (= (tptp.lt tptp.sk8 tptp.sk7) true) (tptp.lt tptp.sk8 tptp.sk7))) :rule equiv_simplify)
% 78.16/78.47 (step t22.t13 (cl (= (tptp.lt tptp.sk8 tptp.sk7) true) (not (tptp.lt tptp.sk8 tptp.sk7))) :rule equiv2 :premises (t22.t12))
% 78.16/78.47 (step t22.t14 (cl (= (tptp.lt tptp.sk8 tptp.sk7) true)) :rule resolution :premises (t22.t13 t22.a0))
% 78.16/78.47 (step t22.t15 (cl (= false true)) :rule trans :premises (t22.t8 t22.t11 t22.t14))
% 78.16/78.47 (step t22.t16 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t15))
% 78.16/78.47 (step t22 (cl (not (tptp.lt tptp.sk8 tptp.sk7)) (not (= tptp.sk7 tptp.sk8)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 78.16/78.47 (step t23 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (tptp.lt tptp.sk8 tptp.sk7)) :rule and_pos)
% 78.16/78.47 (step t24 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (= tptp.sk7 tptp.sk8)) :rule and_pos)
% 78.16/78.47 (step t25 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (tptp.lt tptp.sk8 tptp.sk8))) :rule and_pos)
% 78.16/78.47 (step t26 (cl false (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule resolution :premises (t22 t23 t24 t25))
% 78.16/78.47 (step t27 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) false) :rule reordering :premises (t26))
% 78.16/78.47 (step t28 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) false) :rule contraction :premises (t27))
% 78.16/78.47 (step t29 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) false) :rule resolution :premises (t21 t28))
% 78.16/78.47 (step t30 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (not false)) :rule implies_neg2)
% 78.16/78.47 (step t31 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false)) :rule resolution :premises (t29 t30))
% 78.16/78.47 (step t32 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false)) :rule contraction :premises (t31))
% 78.16/78.47 (step t33 (cl (= (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))))) :rule implies_simplify)
% 78.16/78.47 (step t34 (cl (not (=> (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false)) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule equiv1 :premises (t33))
% 78.16/78.47 (step t35 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule resolution :premises (t32 t34))
% 78.16/78.47 (step t36 (cl (= (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) false)) :rule resolution :premises (t20 t35))
% 78.16/78.47 (step t37 (cl (= (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) false))) :rule cong :premises (t16 t36))
% 78.16/78.47 (step t38 (cl (= (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) false) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))))) :rule all_simplify)
% 78.16/78.47 (step t39 (cl (= (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))))) :rule trans :premises (t37 t38))
% 78.16/78.47 (step t40 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) :rule implies_neg1)
% 78.16/78.47 (anchor :step t41)
% 78.16/78.47 (assume t41.a0 (tptp.lt tptp.sk8 tptp.sk7))
% 78.16/78.47 (assume t41.a1 (not (tptp.lt tptp.sk8 tptp.sk8)))
% 78.16/78.47 (assume t41.a2 (= tptp.sk7 tptp.sk8))
% 78.16/78.47 (step t41.t1 (cl (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) (not (tptp.lt tptp.sk8 tptp.sk7)) (not (= tptp.sk7 tptp.sk8)) (not (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule and_neg)
% 78.16/78.47 (step t41.t2 (cl (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule resolution :premises (t41.t1 t41.a0 t41.a2 t41.a1))
% 78.16/78.47 (step t41 (cl (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 78.16/78.47 (step t42 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (tptp.lt tptp.sk8 tptp.sk7)) :rule and_pos)
% 78.16/78.47 (step t43 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (not (tptp.lt tptp.sk8 tptp.sk8))) :rule and_pos)
% 78.16/78.47 (step t44 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (= tptp.sk7 tptp.sk8)) :rule and_pos)
% 78.16/78.47 (step t45 (cl (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)))) :rule resolution :premises (t41 t42 t43 t44))
% 78.16/78.47 (step t46 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule reordering :premises (t45))
% 78.16/78.47 (step t47 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8))) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule contraction :premises (t46))
% 78.16/78.47 (step t48 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) :rule resolution :premises (t40 t47))
% 78.16/78.47 (step t49 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (not (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule implies_neg2)
% 78.16/78.47 (step t50 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8)))) (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule resolution :premises (t48 t49))
% 78.16/78.47 (step t51 (cl (=> (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)) (and (tptp.lt tptp.sk8 tptp.sk7) (= tptp.sk7 tptp.sk8) (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule contraction :premises (t50))
% 78.16/78.47 (step t52 (cl (not (and (tptp.lt tptp.sk8 tptp.sk7) (not (tptp.lt tptp.sk8 tptp.sk8)) (= tptp.sk7 tptp.sk8)))) :rule resolution :premises (t15 t39 t51))
% 78.16/78.47 (step t53 (cl (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) :rule not_and :premises (t52))
% 78.16/78.47 (step t54 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (not (not (tptp.lt tptp.sk8 tptp.sk7)))) :rule or_neg)
% 78.16/78.47 (step t55 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (not (not (not (tptp.lt tptp.sk8 tptp.sk8))))) :rule or_neg)
% 78.16/78.47 (step t56 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (not (not (= tptp.sk7 tptp.sk8)))) :rule or_neg)
% 78.16/78.47 (step t57 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8)))) :rule resolution :premises (t53 t54 t55 t56))
% 78.16/78.47 (step t58 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (not (tptp.lt tptp.sk8 tptp.sk8))) (not (= tptp.sk7 tptp.sk8)))) :rule contraction :premises (t57))
% 78.16/78.47 (step t59 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (tptp.lt tptp.sk8 tptp.sk8) (not (= tptp.sk7 tptp.sk8)))) :rule resolution :premises (t1 t14 t58))
% 78.16/78.47 (step t60 (cl (not (tptp.lt tptp.sk8 tptp.sk7)) (tptp.lt tptp.sk8 tptp.sk8) (not (= tptp.sk7 tptp.sk8))) :rule or :premises (t59))
% 78.16/78.47 (step t61 (cl (not (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8)) :rule or_pos)
% 78.16/78.47 (step t62 (cl (not (tptp.ssItem tptp.sk7)) (not (tptp.ssItem tptp.sk8)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8) (not (tptp.leq tptp.sk7 tptp.sk8)) (not (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8)))) :rule reordering :premises (t61))
% 78.16/78.47 (step t63 (cl (not (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7))) :rule or_pos)
% 78.16/78.47 (step t64 (cl (not (tptp.ssItem tptp.sk7)) (not (tptp.ssItem tptp.sk8)) (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7))))) :rule reordering :premises (t63))
% 78.16/78.47 (step t65 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V))))) :rule implies_neg1)
% 78.16/78.47 (anchor :step t66)
% 78.16/78.47 (assume t66.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))))
% 78.16/78.47 (step t66.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V))))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V tptp.sk7)))
% 78.16/78.47 (step t66.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V))))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) :rule or :premises (t66.t1))
% 78.16/78.47 (step t66.t3 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) :rule resolution :premises (t66.t2 t66.a0))
% 78.16/78.47 (step t66 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V))))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) :rule subproof :discharge (t66.a0))
% 78.16/78.47 (step t67 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) :rule resolution :premises (t65 t66))
% 78.16/78.47 (step t68 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) (not (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7))))) :rule implies_neg2)
% 78.16/78.47 (step t69 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7))))) :rule resolution :premises (t67 t68))
% 78.16/78.47 (step t70 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7))))) :rule contraction :premises (t69))
% 78.16/78.47 (step t71 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V))))) (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) :rule implies :premises (t70))
% 78.16/78.47 (step t72 (cl (or (not (tptp.lt tptp.sk8 tptp.sk7)) (not (tptp.lt tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)))) :rule resolution :premises (t71 a113))
% 78.16/78.47 (step t73 (cl (not (tptp.lt tptp.sk7 tptp.sk8))) :rule resolution :premises (t64 a197 a198 a203 t72))
% 78.16/78.47 (step t74 (cl (not (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8)) :rule or_pos)
% 78.16/78.47 (step t75 (cl (not (tptp.ssItem tptp.sk7)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk11)) (tptp.leq tptp.sk7 tptp.sk8) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8)))) :rule reordering :premises (t74))
% 78.16/78.47 (step t76 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule and_neg)
% 78.16/78.47 (step t77 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule implies_neg1)
% 78.16/78.47 (anchor :step t78)
% 78.16/78.47 (assume t78.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))
% 78.16/78.47 (assume t78.a1 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.16/78.47 (assume t78.a2 (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))
% 78.16/78.47 (assume t78.a3 (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))
% 78.16/78.47 (assume t78.a4 (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))
% 78.16/78.47 (assume t78.a5 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))
% 78.16/78.47 (assume t78.a6 (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))
% 78.16/78.47 (assume t78.a7 (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))
% 78.16/78.47 (step t78.t1 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule implies_neg1)
% 78.16/78.47 (anchor :step t78.t2)
% 78.16/78.47 (assume t78.t2.a0 (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))
% 78.16/78.47 (assume t78.t2.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))
% 78.16/78.47 (assume t78.t2.a2 (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))
% 78.16/78.47 (assume t78.t2.a3 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.16/78.47 (assume t78.t2.a4 (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))
% 78.16/78.47 (assume t78.t2.a5 (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))
% 78.16/78.47 (assume t78.t2.a6 (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))
% 78.16/78.47 (assume t78.t2.a7 (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))
% 78.16/78.47 (step t78.t2.t1 (cl (= (= (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) true) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule equiv_simplify)
% 78.16/78.47 (step t78.t2.t2 (cl (not (= (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) true)) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule equiv1 :premises (t78.t2.t1))
% 78.16/78.47 (step t78.t2.t3 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 78.16/78.47 (step t78.t2.t4 (cl (= (tptp.app tptp.nil tptp.sk10) tptp.sk10)) :rule symm :premises (t78.t2.a5))
% 78.16/78.47 (step t78.t2.t5 (cl (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule symm :premises (t78.t2.t4))
% 78.16/78.47 (step t78.t2.t6 (cl (= (tptp.cons tptp.sk7 tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule cong :premises (t78.t2.t3 t78.t2.t5))
% 78.16/78.47 (step t78.t2.t7 (cl (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) :rule symm :premises (t78.t2.a4))
% 78.16/78.47 (step t78.t2.t8 (cl (= (tptp.cons tptp.sk7 tptp.sk10) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) :rule trans :premises (t78.t2.t6 t78.t2.t7))
% 78.16/78.47 (step t78.t2.t9 (cl (= (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.app (tptp.app tptp.nil tptp.sk9) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule cong :premises (t78.t2.a3 t78.t2.t8))
% 78.16/78.47 (step t78.t2.t10 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t78.t2.a3))
% 78.16/78.47 (step t78.t2.t11 (cl (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) :rule refl)
% 78.16/78.47 (step t78.t2.t12 (cl (= (tptp.app (tptp.app tptp.nil tptp.sk9) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule cong :premises (t78.t2.t10 t78.t2.t11))
% 78.16/78.47 (step t78.t2.t13 (cl (= (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)) (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) :rule symm :premises (t78.t2.a2))
% 78.16/78.47 (step t78.t2.t14 (cl (= (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) :rule trans :premises (t78.t2.t9 t78.t2.t12 t78.t2.t13))
% 78.16/78.47 (step t78.t2.t15 (cl (= tptp.sk8 tptp.sk8)) :rule refl)
% 78.16/78.47 (step t78.t2.t16 (cl (= (tptp.app tptp.nil tptp.sk11) tptp.sk11)) :rule symm :premises (t78.t2.a7))
% 78.16/78.47 (step t78.t2.t17 (cl (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule symm :premises (t78.t2.t16))
% 78.16/78.47 (step t78.t2.t18 (cl (= (tptp.cons tptp.sk8 tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule cong :premises (t78.t2.t15 t78.t2.t17))
% 78.16/78.47 (step t78.t2.t19 (cl (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) :rule symm :premises (t78.t2.a6))
% 78.16/78.47 (step t78.t2.t20 (cl (= (tptp.cons tptp.sk8 tptp.sk11) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) :rule trans :premises (t78.t2.t18 t78.t2.t19))
% 78.16/78.47 (step t78.t2.t21 (cl (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule cong :premises (t78.t2.t14 t78.t2.t20))
% 78.16/78.47 (step t78.t2.t22 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule symm :premises (t78.t2.a1))
% 78.16/78.47 (step t78.t2.t23 (cl (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule trans :premises (t78.t2.t21 t78.t2.t22))
% 78.16/78.47 (step t78.t2.t24 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule cong :premises (t78.t2.t23))
% 78.16/78.47 (step t78.t2.t25 (cl (= (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) true) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule equiv_simplify)
% 78.16/78.47 (step t78.t2.t26 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) true) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule equiv2 :premises (t78.t2.t25))
% 78.16/78.47 (step t78.t2.t27 (cl (= (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) true)) :rule resolution :premises (t78.t2.t26 t78.t2.a0))
% 78.16/78.47 (step t78.t2.t28 (cl (= (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) true)) :rule trans :premises (t78.t2.t24 t78.t2.t27))
% 78.16/78.47 (step t78.t2.t29 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t78.t2.t2 t78.t2.t28))
% 78.16/78.47 (step t78.t2 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule subproof :discharge (t78.t2.a0 t78.t2.a1 t78.t2.a2 t78.t2.a3 t78.t2.a4 t78.t2.a5 t78.t2.a6 t78.t2.a7))
% 78.16/78.47 (step t78.t3 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule and_pos)
% 78.16/78.47 (step t78.t4 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule and_pos)
% 78.16/78.47 (step t78.t5 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule and_pos)
% 78.16/78.47 (step t78.t6 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.16/78.47 (step t78.t7 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule and_pos)
% 78.16/78.47 (step t78.t8 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule and_pos)
% 78.16/78.47 (step t78.t9 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule and_pos)
% 78.16/78.47 (step t78.t10 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule and_pos)
% 78.16/78.47 (step t78.t11 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule resolution :premises (t78.t2 t78.t3 t78.t4 t78.t5 t78.t6 t78.t7 t78.t8 t78.t9 t78.t10))
% 78.16/78.47 (step t78.t12 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule reordering :premises (t78.t11))
% 78.16/78.47 (step t78.t13 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule contraction :premises (t78.t12))
% 78.16/78.47 (step t78.t14 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t78.t1 t78.t13))
% 78.16/78.47 (step t78.t15 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule implies_neg2)
% 78.16/78.47 (step t78.t16 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule resolution :premises (t78.t14 t78.t15))
% 78.16/78.47 (step t78.t17 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule contraction :premises (t78.t16))
% 78.16/78.47 (step t78.t18 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule implies :premises (t78.t17))
% 78.16/78.47 (step t78.t19 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule and_neg)
% 78.16/78.47 (step t78.t20 (cl (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule resolution :premises (t78.t19 t78.a0 t78.a5 t78.a4 t78.a1 t78.a7 t78.a2 t78.a6 t78.a3))
% 78.16/78.48 (step t78.t21 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t78.t18 t78.t20))
% 78.16/78.48 (step t78 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule subproof :discharge (t78.a0 t78.a1 t78.a2 t78.a3 t78.a4 t78.a5 t78.a6 t78.a7))
% 78.16/78.48 (step t79 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule and_pos)
% 78.16/78.48 (step t80 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.16/78.48 (step t81 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule and_pos)
% 78.16/78.48 (step t82 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule and_pos)
% 78.16/78.48 (step t83 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule and_pos)
% 78.16/78.48 (step t84 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule and_pos)
% 78.16/78.48 (step t85 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule and_pos)
% 78.16/78.48 (step t86 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule and_pos)
% 78.16/78.48 (step t87 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))))) :rule resolution :premises (t78 t79 t80 t81 t82 t83 t84 t85 t86))
% 78.16/78.48 (step t88 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule reordering :premises (t87))
% 78.16/78.48 (step t89 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule contraction :premises (t88))
% 78.16/78.48 (step t90 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t77 t89))
% 78.16/78.48 (step t91 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule implies_neg2)
% 78.16/78.48 (step t92 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule resolution :premises (t90 t91))
% 78.16/78.48 (step t93 (cl (=> (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule contraction :premises (t92))
% 78.16/78.48 (step t94 (cl (not (and (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule implies :premises (t93))
% 78.16/78.48 (step t95 (cl (not (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t76 t94))
% 78.16/78.48 (step t96 (cl (not (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) (not (tptp.ssList tptp.sk1)) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule equiv_pos2)
% 78.16/78.48 (step t97 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6))) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 78.16/78.48 (step t98 (cl (not (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) (not (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule equiv_pos2)
% 78.16/78.48 (step t99 (cl (and (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4)) (not (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6))) (not (= tptp.sk1 tptp.sk3)) (not (= tptp.sk2 tptp.sk4))) :rule and_neg)
% 78.16/78.48 (step t100 (cl (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6))) :rule symm :premises (a193))
% 78.16/78.48 (step t101 (cl (and (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t99 t100 a190 a189))
% 78.16/78.48 (step t102 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t101))
% 78.16/78.48 (step t103 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule refl)
% 78.16/78.48 (step t104 (cl (= (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule cong :premises (t102 t103))
% 78.16/78.48 (step t105 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule symm :premises (a202))
% 78.16/78.48 (step t106 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule resolution :premises (t98 t104 t105))
% 78.16/78.48 (step t107 (cl (and (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk4 (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6)) (= tptp.sk1 tptp.sk3) (= tptp.sk2 tptp.sk4))) :rule resolution :premises (t97 t106 t100 a190 a189))
% 78.16/78.48 (step t108 (cl (= tptp.sk1 tptp.sk3)) :rule and :premises (t107))
% 78.16/78.48 (step t109 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule and :premises (t107))
% 78.16/78.48 (step t110 (cl (= tptp.sk1 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule trans :premises (t108 t109))
% 78.16/78.48 (step t111 (cl (= (tptp.ssList tptp.sk1) (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule cong :premises (t110))
% 78.16/78.48 (step t112 (cl (tptp.ssList (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule resolution :premises (t96 t111 a185))
% 78.16/78.48 (step t113 (cl (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule or_pos)
% 78.16/78.48 (step t114 (cl (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule reordering :premises (t113))
% 78.16/78.48 (step t115 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t116)
% 78.16/78.48 (assume t116.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 78.16/78.48 (step t116.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule forall_inst :args ((:= U tptp.sk9)))
% 78.16/78.48 (step t116.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule or :premises (t116.t1))
% 78.16/78.48 (step t116.t3 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t116.t2 t116.a0))
% 78.16/78.48 (step t116 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule subproof :discharge (t116.a0))
% 78.16/78.48 (step t117 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t115 t116))
% 78.16/78.48 (step t118 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (not (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule implies_neg2)
% 78.16/78.48 (step t119 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule resolution :premises (t117 t118))
% 78.16/78.48 (step t120 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))))) :rule contraction :premises (t119))
% 78.16/78.48 (step t121 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule implies :premises (t120))
% 78.16/78.48 (step t122 (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)
% 78.16/78.48 (anchor :step t123 :args ((U $$unsorted) (:= U U)))
% 78.16/78.48 (step t123.t1 (cl (= U U)) :rule refl)
% 78.16/78.48 (step t123.t2 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.16/78.48 (step t123.t3 (cl (= (= (tptp.app tptp.nil U) U) (= U (tptp.app tptp.nil U)))) :rule all_simplify)
% 78.16/78.48 (step t123.t4 (cl (= (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule cong :premises (t123.t2 t123.t3))
% 78.16/78.48 (step t123 (cl (= (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) :rule bind)
% 78.16/78.48 (step t124 (cl (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule resolution :premises (t122 t123 a73))
% 78.16/78.48 (step t125 (cl (or (not (tptp.ssList tptp.sk9)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) :rule resolution :premises (t121 t124))
% 78.16/78.48 (step t126 (cl (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule resolution :premises (t114 a199 t125))
% 78.16/78.48 (step t127 (cl (not (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule or_pos)
% 78.16/78.48 (step t128 (cl (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (not (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))))) :rule reordering :premises (t127))
% 78.16/78.48 (step t129 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t130)
% 78.16/78.48 (assume t130.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 78.16/78.48 (step t130.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))))) :rule forall_inst :args ((:= U tptp.sk10)))
% 78.16/78.48 (step t130.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) :rule or :premises (t130.t1))
% 78.16/78.48 (step t130.t3 (cl (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) :rule resolution :premises (t130.t2 t130.a0))
% 78.16/78.48 (step t130 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) :rule subproof :discharge (t130.a0))
% 78.16/78.48 (step t131 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) :rule resolution :premises (t129 t130))
% 78.16/78.48 (step t132 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) (not (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))))) :rule implies_neg2)
% 78.16/78.48 (step t133 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))))) :rule resolution :premises (t131 t132))
% 78.16/78.48 (step t134 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))))) :rule contraction :premises (t133))
% 78.16/78.48 (step t135 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) :rule implies :premises (t134))
% 78.16/78.48 (step t136 (cl (or (not (tptp.ssList tptp.sk10)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))) :rule resolution :premises (t135 t124))
% 78.16/78.48 (step t137 (cl (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule resolution :premises (t128 a200 t136))
% 78.16/78.48 (step t138 (cl (not (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule or_pos)
% 78.16/78.48 (step t139 (cl (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (not (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule reordering :premises (t138))
% 78.16/78.48 (step t140 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t141)
% 78.16/78.48 (assume t141.a0 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))
% 78.16/78.48 (step t141.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule forall_inst :args ((:= U tptp.sk11)))
% 78.16/78.48 (step t141.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule or :premises (t141.t1))
% 78.16/78.48 (step t141.t3 (cl (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule resolution :premises (t141.t2 t141.a0))
% 78.16/78.48 (step t141 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule subproof :discharge (t141.a0))
% 78.16/78.48 (step t142 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule resolution :premises (t140 t141))
% 78.16/78.48 (step t143 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule implies_neg2)
% 78.16/78.48 (step t144 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule resolution :premises (t142 t143))
% 78.16/78.48 (step t145 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule contraction :premises (t144))
% 78.16/78.48 (step t146 (cl (not (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U))))) (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule implies :premises (t145))
% 78.16/78.48 (step t147 (cl (or (not (tptp.ssList tptp.sk11)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule resolution :premises (t146 t124))
% 78.16/78.48 (step t148 (cl (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule resolution :premises (t139 a201 t147))
% 78.16/78.48 (step t149 (cl (not (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule or_pos)
% 78.16/78.48 (step t150 (cl (not (tptp.ssList tptp.sk9)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (not (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))))) :rule reordering :premises (t149))
% 78.16/78.48 (step t151 (cl (not (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) :rule or_pos)
% 78.16/78.48 (step t152 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk7)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))))) :rule reordering :premises (t151))
% 78.16/78.48 (step t153 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 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)
% 78.16/78.48 (anchor :step t154)
% 78.16/78.48 (assume t154.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.16/78.48 (step t154.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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.nil)))
% 78.16/78.48 (step t154.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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) :rule or :premises (t154.t1))
% 78.16/78.48 (step t154.t3 (cl (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) :rule resolution :premises (t154.t2 t154.a0))
% 78.16/78.48 (step t154 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) :rule subproof :discharge (t154.a0))
% 78.16/78.48 (step t155 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) :rule resolution :premises (t153 t154))
% 78.16/78.48 (step t156 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))))) :rule implies_neg2)
% 78.16/78.48 (step t157 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))))) :rule resolution :premises (t155 t156))
% 78.16/78.48 (step t158 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))))) :rule contraction :premises (t157))
% 78.16/78.48 (step t159 (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.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) :rule implies :premises (t158))
% 78.16/78.48 (step t160 (cl (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk7 tptp.nil)))) :rule resolution :premises (t159 a85))
% 78.16/78.48 (step t161 (cl (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) :rule resolution :premises (t152 a7 a197 t160))
% 78.16/78.48 (step t162 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) (forall ((U $$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)))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t163)
% 78.16/78.48 (assume t163.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 78.16/78.48 (step t163.t1 (cl (or (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))))) :rule forall_inst :args ((:= U tptp.sk10) (:= V (tptp.cons tptp.sk7 tptp.nil)) (:= W tptp.sk9)))
% 78.16/78.48 (step t163.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule or :premises (t163.t1))
% 78.16/78.48 (step t163.t3 (cl (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule resolution :premises (t163.t2 t163.a0))
% 78.16/78.48 (step t163 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule subproof :discharge (t163.a0))
% 78.16/78.48 (step t164 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule resolution :premises (t162 t163))
% 78.16/78.48 (step t165 (cl (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) (not (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))))) :rule implies_neg2)
% 78.16/78.48 (step t166 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))))) :rule resolution :premises (t164 t165))
% 78.16/78.48 (step t167 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))))) :rule contraction :premises (t166))
% 78.16/78.48 (step t168 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule implies :premises (t167))
% 78.16/78.48 (step t169 (cl (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule resolution :premises (t168 a148))
% 78.16/78.48 (step t170 (cl (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule resolution :premises (t150 a199 a200 t161 t169))
% 78.16/78.48 (step t171 (cl (not (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule or_pos)
% 78.16/78.48 (step t172 (cl (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (not (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))))) :rule reordering :premises (t171))
% 78.16/78.48 (step t173 (cl (not (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) :rule or_pos)
% 78.16/78.48 (step t174 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk8)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)) (not (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))))) :rule reordering :premises (t173))
% 78.16/78.48 (step t175 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 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)
% 78.16/78.48 (anchor :step t176)
% 78.16/78.48 (assume t176.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))
% 78.16/78.48 (step t176.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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V tptp.nil)))
% 78.16/78.48 (step t176.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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) :rule or :premises (t176.t1))
% 78.16/78.48 (step t176.t3 (cl (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) :rule resolution :premises (t176.t2 t176.a0))
% 78.16/78.48 (step t176 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) :rule subproof :discharge (t176.a0))
% 78.16/78.48 (step t177 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) :rule resolution :premises (t175 t176))
% 78.16/78.48 (step t178 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) (not (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))))) :rule implies_neg2)
% 78.16/78.48 (step t179 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))))) :rule resolution :premises (t177 t178))
% 78.16/78.48 (step t180 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))))) :rule contraction :premises (t179))
% 78.16/78.48 (step t181 (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.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) :rule implies :premises (t180))
% 78.16/78.48 (step t182 (cl (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (tptp.ssList (tptp.cons tptp.sk8 tptp.nil)))) :rule resolution :premises (t181 a85))
% 78.16/78.48 (step t183 (cl (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) :rule resolution :premises (t174 a7 a198 t182))
% 78.16/78.48 (step t184 (cl (not (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) :rule or_pos)
% 78.16/78.48 (step t185 (cl (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)) (not (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))))) :rule reordering :premises (t184))
% 78.16/78.48 (step t186 (cl (not (or (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) :rule or_pos)
% 78.16/78.48 (step t187 (cl (not (tptp.ssList tptp.sk9)) (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))) (not (or (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))))) :rule reordering :premises (t186))
% 78.16/78.48 (step t188 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 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)
% 78.16/78.48 (anchor :step t189)
% 78.16/78.48 (assume t189.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.16/78.48 (step t189.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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))))) :rule forall_inst :args ((:= U (tptp.cons tptp.sk7 tptp.nil)) (:= V tptp.sk9)))
% 78.16/78.48 (step t189.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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) :rule or :premises (t189.t1))
% 78.16/78.48 (step t189.t3 (cl (or (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) :rule resolution :premises (t189.t2 t189.a0))
% 78.16/78.48 (step t189 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) :rule subproof :discharge (t189.a0))
% 78.16/78.48 (step t190 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) (or (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) :rule resolution :premises (t188 t189))
% 78.16/78.48 (step t191 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) (not (or (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))))) :rule implies_neg2)
% 78.16/78.48 (step t192 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))))) :rule resolution :premises (t190 t191))
% 78.16/78.48 (step t193 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))))) :rule contraction :premises (t192))
% 78.16/78.48 (step t194 (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.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) :rule implies :premises (t193))
% 78.16/78.48 (step t195 (cl (or (not (tptp.ssList (tptp.cons tptp.sk7 tptp.nil))) (not (tptp.ssList tptp.sk9)) (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil))))) :rule resolution :premises (t194 a84))
% 78.16/78.48 (step t196 (cl (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) :rule resolution :premises (t187 a199 t161 t195))
% 78.16/78.48 (step t197 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t198)
% 78.16/78.48 (assume t198.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))
% 78.16/78.48 (step t198.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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))))) :rule forall_inst :args ((:= U tptp.sk10) (:= V (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))))
% 78.16/78.48 (step t198.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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) :rule or :premises (t198.t1))
% 78.16/78.48 (step t198.t3 (cl (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) :rule resolution :premises (t198.t2 t198.a0))
% 78.16/78.48 (step t198 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) :rule subproof :discharge (t198.a0))
% 78.16/78.48 (step t199 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) :rule resolution :premises (t197 t198))
% 78.16/78.48 (step t200 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) (not (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))))) :rule implies_neg2)
% 78.16/78.48 (step t201 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) (=> (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))))) :rule resolution :premises (t199 t200))
% 78.16/78.48 (step t202 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))))) :rule contraction :premises (t201))
% 78.16/78.48 (step t203 (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.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) :rule implies :premises (t202))
% 78.16/78.48 (step t204 (cl (or (not (tptp.ssList tptp.sk10)) (not (tptp.ssList (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)))) (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10)))) :rule resolution :premises (t203 a84))
% 78.16/78.48 (step t205 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) :rule resolution :premises (t185 a200 t196 t204))
% 78.16/78.48 (step t206 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) (forall ((U $$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)))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t207)
% 78.16/78.48 (assume t207.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))
% 78.16/78.48 (step t207.t1 (cl (or (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))))) :rule forall_inst :args ((:= U tptp.sk11) (:= V (tptp.cons tptp.sk8 tptp.nil)) (:= W (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))))
% 78.16/78.48 (step t207.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U)))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule or :premises (t207.t1))
% 78.16/78.48 (step t207.t3 (cl (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule resolution :premises (t207.t2 t207.a0))
% 78.16/78.48 (step t207 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule subproof :discharge (t207.a0))
% 78.16/78.48 (step t208 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule resolution :premises (t206 t207))
% 78.16/78.48 (step t209 (cl (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) (not (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))))) :rule implies_neg2)
% 78.16/78.48 (step t210 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) (=> (forall ((U $$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))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))))) :rule resolution :premises (t208 t209))
% 78.16/78.48 (step t211 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))))) :rule contraction :premises (t210))
% 78.16/78.48 (step t212 (cl (not (forall ((U $$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)))))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule implies :premises (t211))
% 78.16/78.48 (step t213 (cl (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList (tptp.cons tptp.sk8 tptp.nil))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule resolution :premises (t212 a148))
% 78.16/78.48 (step t214 (cl (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule resolution :premises (t172 a201 t183 t205 t213))
% 78.16/78.48 (step t215 (cl (not (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule or_pos)
% 78.16/78.48 (step t216 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (not (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))))) :rule reordering :premises (t215))
% 78.16/78.48 (step t217 (cl (not (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))))) (not (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))))) :rule equiv_pos2)
% 78.16/78.48 (step t218 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$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)))))) :rule refl)
% 78.16/78.48 (step t219 (cl (= (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule refl)
% 78.16/78.48 (step t220 (cl (= (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.nil)))) :rule refl)
% 78.16/78.48 (step t221 (cl (= (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk11)))) :rule refl)
% 78.16/78.48 (step t222 (cl (= (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))) :rule all_simplify)
% 78.16/78.48 (step t223 (cl (= (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))))) :rule cong :premises (t219 t220 t221 t222))
% 78.16/78.48 (step t224 (cl (= (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))))) :rule cong :premises (t218 t223))
% 78.16/78.48 (step t225 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (forall ((U $$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))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t226)
% 78.16/78.48 (assume t226.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))
% 78.16/78.48 (step t226.t1 (cl (or (not (forall ((U $$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))))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule forall_inst :args ((:= U tptp.sk8) (:= V tptp.nil) (:= W tptp.sk11)))
% 78.16/78.48 (step t226.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W))))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule or :premises (t226.t1))
% 78.16/78.48 (step t226.t3 (cl (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule resolution :premises (t226.t2 t226.a0))
% 78.16/78.48 (step t226 (cl (not (forall ((U $$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))))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule subproof :discharge (t226.a0))
% 78.16/78.48 (step t227 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule resolution :premises (t225 t226))
% 78.16/78.48 (step t228 (cl (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule implies_neg2)
% 78.16/78.48 (step t229 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule resolution :premises (t227 t228))
% 78.16/78.48 (step t230 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))) :rule contraction :premises (t229))
% 78.16/78.48 (step t231 (cl (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))))) :rule resolution :premises (t217 t224 t230))
% 78.16/78.48 (step t232 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W))))) (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))) :rule implies :premises (t231))
% 78.16/78.48 (step t233 (cl (or (not (tptp.ssItem tptp.sk8)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk11)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))) :rule resolution :premises (t232 a156))
% 78.16/78.48 (step t234 (cl (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule resolution :premises (t216 a7 a198 a201 t233))
% 78.16/78.48 (step t235 (cl (not (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule or_pos)
% 78.16/78.48 (step t236 (cl (not (tptp.ssList tptp.nil)) (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (not (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))))) :rule reordering :premises (t235))
% 78.16/78.48 (step t237 (cl (not (= (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))))) (not (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))))) :rule equiv_pos2)
% 78.16/78.48 (step t238 (cl (= (not (tptp.ssItem tptp.sk7)) (not (tptp.ssItem tptp.sk7)))) :rule refl)
% 78.16/78.48 (step t239 (cl (= (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk10)))) :rule refl)
% 78.16/78.48 (step t240 (cl (= (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule all_simplify)
% 78.16/78.48 (step t241 (cl (= (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))))) :rule cong :premises (t238 t220 t239 t240))
% 78.16/78.48 (step t242 (cl (= (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))))) :rule cong :premises (t218 t241))
% 78.16/78.48 (step t243 (cl (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t244)
% 78.16/78.48 (assume t244.a0 (forall ((U $$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)))))
% 78.16/78.48 (step t244.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W))))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.nil) (:= W tptp.sk10)))
% 78.16/78.48 (step t244.t2 (cl (not (forall ((U $$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))))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule or :premises (t244.t1))
% 78.16/78.48 (step t244.t3 (cl (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule resolution :premises (t244.t2 t244.a0))
% 78.16/78.48 (step t244 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W))))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule subproof :discharge (t244.a0))
% 78.16/78.48 (step t245 (cl (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule resolution :premises (t243 t244))
% 78.16/78.48 (step t246 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule implies_neg2)
% 78.16/78.48 (step t247 (cl (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule resolution :premises (t245 t246))
% 78.16/78.48 (step t248 (cl (=> (forall ((U $$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)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))) :rule contraction :premises (t247))
% 78.16/78.48 (step t249 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))))) :rule resolution :premises (t237 t242 t248))
% 78.16/78.48 (step t250 (cl (not (forall ((U $$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))))) (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule implies :premises (t249))
% 78.16/78.48 (step t251 (cl (or (not (tptp.ssItem tptp.sk7)) (not (tptp.ssList tptp.nil)) (not (tptp.ssList tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule resolution :premises (t250 a156))
% 78.16/78.48 (step t252 (cl (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule resolution :premises (t236 a7 a197 a200 t251))
% 78.16/78.48 (step t253 (cl (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t95 t112 t126 t137 t148 t170 t214 t234 t252))
% 78.16/78.48 (step t254 (cl (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule and_neg)
% 78.16/78.48 (step t255 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t256)
% 78.16/78.48 (assume t256.a0 (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))
% 78.16/78.48 (assume t256.a1 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.16/78.48 (assume t256.a2 (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))
% 78.16/78.48 (assume t256.a3 (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))
% 78.16/78.48 (assume t256.a4 (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))
% 78.16/78.48 (assume t256.a5 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))
% 78.16/78.48 (assume t256.a6 (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))
% 78.16/78.48 (assume t256.a7 (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))
% 78.16/78.48 (step t256.t1 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t256.t2)
% 78.16/78.48 (assume t256.t2.a0 (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))
% 78.16/78.48 (assume t256.t2.a1 (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))))
% 78.16/78.48 (assume t256.t2.a2 (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))))
% 78.16/78.48 (assume t256.t2.a3 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))
% 78.16/78.48 (assume t256.t2.a4 (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))
% 78.16/78.48 (assume t256.t2.a5 (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)))
% 78.16/78.48 (assume t256.t2.a6 (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))))
% 78.16/78.48 (assume t256.t2.a7 (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))
% 78.16/78.48 (step t256.t2.t1 (cl (= (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) true) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule equiv_simplify)
% 78.16/78.48 (step t256.t2.t2 (cl (not (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) true)) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule equiv1 :premises (t256.t2.t1))
% 78.16/78.48 (step t256.t2.t3 (cl (= tptp.sk7 tptp.sk7)) :rule refl)
% 78.16/78.48 (step t256.t2.t4 (cl (= (tptp.app tptp.nil tptp.sk10) tptp.sk10)) :rule symm :premises (t256.t2.a5))
% 78.16/78.48 (step t256.t2.t5 (cl (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule symm :premises (t256.t2.t4))
% 78.16/78.48 (step t256.t2.t6 (cl (= (tptp.cons tptp.sk7 tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule cong :premises (t256.t2.t3 t256.t2.t5))
% 78.16/78.48 (step t256.t2.t7 (cl (= (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) :rule symm :premises (t256.t2.a4))
% 78.16/78.48 (step t256.t2.t8 (cl (= (tptp.cons tptp.sk7 tptp.sk10) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) :rule trans :premises (t256.t2.t6 t256.t2.t7))
% 78.16/78.48 (step t256.t2.t9 (cl (= (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.app (tptp.app tptp.nil tptp.sk9) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule cong :premises (t256.t2.a3 t256.t2.t8))
% 78.16/78.48 (step t256.t2.t10 (cl (= (tptp.app tptp.nil tptp.sk9) tptp.sk9)) :rule symm :premises (t256.t2.a3))
% 78.16/78.48 (step t256.t2.t11 (cl (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) :rule refl)
% 78.16/78.48 (step t256.t2.t12 (cl (= (tptp.app (tptp.app tptp.nil tptp.sk9) (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule cong :premises (t256.t2.t10 t256.t2.t11))
% 78.16/78.48 (step t256.t2.t13 (cl (= (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)) (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) :rule symm :premises (t256.t2.a2))
% 78.16/78.48 (step t256.t2.t14 (cl (= (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10))) :rule trans :premises (t256.t2.t9 t256.t2.t12 t256.t2.t13))
% 78.16/78.48 (step t256.t2.t15 (cl (= tptp.sk8 tptp.sk8)) :rule refl)
% 78.16/78.48 (step t256.t2.t16 (cl (= (tptp.app tptp.nil tptp.sk11) tptp.sk11)) :rule symm :premises (t256.t2.a7))
% 78.16/78.48 (step t256.t2.t17 (cl (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule symm :premises (t256.t2.t16))
% 78.16/78.48 (step t256.t2.t18 (cl (= (tptp.cons tptp.sk8 tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule cong :premises (t256.t2.t15 t256.t2.t17))
% 78.16/78.48 (step t256.t2.t19 (cl (= (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) :rule symm :premises (t256.t2.a6))
% 78.16/78.48 (step t256.t2.t20 (cl (= (tptp.cons tptp.sk8 tptp.sk11) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) :rule trans :premises (t256.t2.t18 t256.t2.t19))
% 78.16/78.48 (step t256.t2.t21 (cl (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule cong :premises (t256.t2.t14 t256.t2.t20))
% 78.16/78.48 (step t256.t2.t22 (cl (= (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule symm :premises (t256.t2.a1))
% 78.16/78.48 (step t256.t2.t23 (cl (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)) (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule trans :premises (t256.t2.t21 t256.t2.t22))
% 78.16/78.48 (step t256.t2.t24 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule cong :premises (t256.t2.t23))
% 78.16/78.48 (step t256.t2.t25 (cl (= (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) true) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule equiv_simplify)
% 78.16/78.48 (step t256.t2.t26 (cl (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) true) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule equiv2 :premises (t256.t2.t25))
% 78.16/78.48 (step t256.t2.t27 (cl (= (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) true)) :rule resolution :premises (t256.t2.t26 t256.t2.a0))
% 78.16/78.48 (step t256.t2.t28 (cl (= (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) true)) :rule trans :premises (t256.t2.t24 t256.t2.t27))
% 78.16/78.48 (step t256.t2.t29 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t256.t2.t2 t256.t2.t28))
% 78.16/78.48 (step t256.t2 (cl (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule subproof :discharge (t256.t2.a0 t256.t2.a1 t256.t2.a2 t256.t2.a3 t256.t2.a4 t256.t2.a5 t256.t2.a6 t256.t2.a7))
% 78.16/78.48 (step t256.t3 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule and_pos)
% 78.16/78.48 (step t256.t4 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule and_pos)
% 78.16/78.48 (step t256.t5 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule and_pos)
% 78.16/78.48 (step t256.t6 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.16/78.48 (step t256.t7 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule and_pos)
% 78.16/78.48 (step t256.t8 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule and_pos)
% 78.16/78.48 (step t256.t9 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule and_pos)
% 78.16/78.48 (step t256.t10 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule and_pos)
% 78.16/78.48 (step t256.t11 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))))) :rule resolution :premises (t256.t2 t256.t3 t256.t4 t256.t5 t256.t6 t256.t7 t256.t8 t256.t9 t256.t10))
% 78.16/78.48 (step t256.t12 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule reordering :premises (t256.t11))
% 78.16/78.48 (step t256.t13 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule contraction :premises (t256.t12))
% 78.16/78.48 (step t256.t14 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t256.t1 t256.t13))
% 78.16/78.48 (step t256.t15 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule implies_neg2)
% 78.16/78.48 (step t256.t16 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule resolution :premises (t256.t14 t256.t15))
% 78.16/78.48 (step t256.t17 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule contraction :premises (t256.t16))
% 78.16/78.48 (step t256.t18 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule implies :premises (t256.t17))
% 78.16/78.48 (step t256.t19 (cl (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule and_neg)
% 78.16/78.48 (step t256.t20 (cl (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)))) :rule resolution :premises (t256.t19 t256.a0 t256.a5 t256.a4 t256.a1 t256.a7 t256.a2 t256.a6 t256.a3))
% 78.16/78.48 (step t256.t21 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t256.t18 t256.t20))
% 78.16/78.48 (step t256 (cl (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule subproof :discharge (t256.a0 t256.a1 t256.a2 t256.a3 t256.a4 t256.a5 t256.a6 t256.a7))
% 78.16/78.48 (step t257 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule and_pos)
% 78.16/78.48 (step t258 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) :rule and_pos)
% 78.16/78.48 (step t259 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) :rule and_pos)
% 78.16/78.48 (step t260 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) :rule and_pos)
% 78.16/78.48 (step t261 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) :rule and_pos)
% 78.16/78.48 (step t262 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) :rule and_pos)
% 78.16/78.48 (step t263 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) :rule and_pos)
% 78.16/78.48 (step t264 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) :rule and_pos)
% 78.16/78.48 (step t265 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))))) :rule resolution :premises (t256 t257 t258 t259 t260 t261 t262 t263 t264))
% 78.16/78.48 (step t266 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule reordering :premises (t265))
% 78.16/78.48 (step t267 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule contraction :premises (t266))
% 78.16/78.48 (step t268 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t255 t267))
% 78.16/78.48 (step t269 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule implies_neg2)
% 78.16/78.48 (step t270 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule resolution :premises (t268 t269))
% 78.16/78.48 (step t271 (cl (=> (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11))))) :rule contraction :premises (t270))
% 78.16/78.48 (step t272 (cl (not (and (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)) (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)) (= tptp.sk10 (tptp.app tptp.nil tptp.sk10)) (= tptp.sk11 (tptp.app tptp.nil tptp.sk11)) (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10))) (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11))) (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10))))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule implies :premises (t271))
% 78.16/78.48 (step t273 (cl (not (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) (not (= tptp.sk9 (tptp.app tptp.nil tptp.sk9))) (not (= tptp.sk10 (tptp.app tptp.nil tptp.sk10))) (not (= tptp.sk11 (tptp.app tptp.nil tptp.sk11))) (not (= (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app tptp.sk9 (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10)))) (not (= (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11) (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk8 tptp.nil) tptp.sk11) (tptp.cons tptp.sk8 (tptp.app tptp.nil tptp.sk11)))) (not (= (tptp.app (tptp.cons tptp.sk7 tptp.nil) tptp.sk10) (tptp.cons tptp.sk7 (tptp.app tptp.nil tptp.sk10)))) (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t254 t272))
% 78.16/78.48 (step t274 (cl (not (= (tptp.totalorderedP tptp.sk3) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) (not (tptp.totalorderedP tptp.sk3)) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule equiv_pos2)
% 78.16/78.48 (step t275 (cl (= tptp.sk3 (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule and :premises (t107))
% 78.16/78.48 (step t276 (cl (= (tptp.totalorderedP tptp.sk3) (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11)))) :rule cong :premises (t275))
% 78.16/78.48 (step t277 (cl (tptp.totalorderedP (tptp.app (tptp.app (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.nil)) tptp.sk10) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk11))) :rule resolution :premises (t274 t276 a194))
% 78.16/78.48 (step t278 (cl (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) :rule resolution :premises (t273 t277 t126 t137 t148 t170 t214 t234 t252))
% 78.16/78.48 (step t279 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t280)
% 78.16/78.48 (assume t280.a0 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))
% 78.16/78.48 (step t280.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk9) (:= V tptp.sk7) (:= W tptp.sk10) (:= X tptp.sk8) (:= Y tptp.sk11)))
% 78.16/78.48 (step t280.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) :rule or :premises (t280.t1))
% 78.16/78.48 (step t280.t3 (cl (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) :rule resolution :premises (t280.t2 t280.a0))
% 78.16/78.48 (step t280 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) :rule subproof :discharge (t280.a0))
% 78.16/78.48 (step t281 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) :rule resolution :premises (t279 t280))
% 78.16/78.48 (step t282 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) (not (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8)))) :rule implies_neg2)
% 78.16/78.48 (step t283 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8)))) :rule resolution :premises (t281 t282))
% 78.16/78.48 (step t284 (cl (=> (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8)))) :rule contraction :premises (t283))
% 78.16/78.48 (step t285 (cl (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) :rule implies :premises (t284))
% 78.16/78.48 (step t286 (cl (not (= (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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule equiv_pos2)
% 78.16/78.48 (anchor :step t287 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y) (Z $$unsorted) (:= Z Z)))
% 78.16/78.48 (step t287.t1 (cl (= U U)) :rule refl)
% 78.16/78.48 (step t287.t2 (cl (= V V)) :rule refl)
% 78.16/78.48 (step t287.t3 (cl (= W W)) :rule refl)
% 78.16/78.48 (step t287.t4 (cl (= X X)) :rule refl)
% 78.16/78.48 (step t287.t5 (cl (= Y Y)) :rule refl)
% 78.16/78.48 (step t287.t6 (cl (= Z Z)) :rule refl)
% 78.16/78.48 (step t287.t7 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z) (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))))) :rule all_simplify)
% 78.16/78.48 (step t287.t8 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule cong :premises (t287.t7))
% 78.16/78.48 (step t287.t9 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.16/78.48 (step t287.t10 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.16/78.48 (step t287.t11 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.16/78.48 (step t287.t12 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 78.16/78.48 (step t287.t13 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.16/78.48 (step t287.t14 (cl (= (not (tptp.totalorderedP Z)) (not (tptp.totalorderedP Z)))) :rule refl)
% 78.16/78.48 (step t287.t15 (cl (= (not (tptp.ssList Z)) (not (tptp.ssList Z)))) :rule refl)
% 78.16/78.48 (step t287.t16 (cl (= (tptp.leq V X) (tptp.leq V X))) :rule refl)
% 78.16/78.48 (step t287.t17 (cl (= (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)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (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)))) :rule cong :premises (t287.t8 t287.t9 t287.t10 t287.t11 t287.t12 t287.t13 t287.t14 t287.t15 t287.t16))
% 78.16/78.48 (step t287 (cl (= (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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (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))))) :rule bind)
% 78.16/78.48 (step t288 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule all_simplify)
% 78.16/78.48 (anchor :step t289 :args ((U $$unsorted) (:= U U) (V $$unsorted) (:= V V) (W $$unsorted) (:= W W) (X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 78.16/78.48 (step t289.t1 (cl (= U U)) :rule refl)
% 78.16/78.48 (step t289.t2 (cl (= V V)) :rule refl)
% 78.16/78.48 (step t289.t3 (cl (= W W)) :rule refl)
% 78.16/78.48 (step t289.t4 (cl (= X X)) :rule refl)
% 78.16/78.48 (step t289.t5 (cl (= Y Y)) :rule refl)
% 78.16/78.48 (step t289.t6 (cl (= (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))) true)) :rule all_simplify)
% 78.16/78.48 (step t289.t7 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not true))) :rule cong :premises (t289.t6))
% 78.16/78.48 (step t289.t8 (cl (= (not true) false)) :rule all_simplify)
% 78.16/78.48 (step t289.t9 (cl (= (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) false)) :rule trans :premises (t289.t7 t289.t8))
% 78.16/78.48 (step t289.t10 (cl (= (not (tptp.ssList Y)) (not (tptp.ssList Y)))) :rule refl)
% 78.16/78.48 (step t289.t11 (cl (= (not (tptp.ssList W)) (not (tptp.ssList W)))) :rule refl)
% 78.16/78.48 (step t289.t12 (cl (= (not (tptp.ssList U)) (not (tptp.ssList U)))) :rule refl)
% 78.16/78.48 (step t289.t13 (cl (= (not (tptp.ssItem X)) (not (tptp.ssItem X)))) :rule refl)
% 78.16/78.48 (step t289.t14 (cl (= (not (tptp.ssItem V)) (not (tptp.ssItem V)))) :rule refl)
% 78.16/78.48 (step t289.t15 (cl (= (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 78.16/78.48 (step t289.t16 (cl (= (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))))) :rule refl)
% 78.16/78.48 (step t289.t17 (cl (= (tptp.leq V X) (tptp.leq V X))) :rule refl)
% 78.16/78.48 (step t289.t18 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)) (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule cong :premises (t289.t9 t289.t10 t289.t11 t289.t12 t289.t13 t289.t14 t289.t15 t289.t16 t289.t17))
% 78.16/78.48 (step t289.t19 (cl (= (or false (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule all_simplify)
% 78.16/78.48 (step t289.t20 (cl (= (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule trans :premises (t289.t18 t289.t19))
% 78.16/78.48 (step t289 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule bind)
% 78.16/78.48 (step t290 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= Z (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule trans :premises (t288 t289))
% 78.16/78.48 (step t291 (cl (= (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X))))) :rule trans :premises (t287 t290))
% 78.16/78.48 (step t292 (cl (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (not (tptp.ssList (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (tptp.leq V X)))) :rule resolution :premises (t286 t291 a181))
% 78.16/78.48 (step t293 (cl (or (not (tptp.ssList tptp.sk11)) (not (tptp.ssList tptp.sk10)) (not (tptp.ssList tptp.sk9)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (not (tptp.totalorderedP (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (not (tptp.ssList (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (tptp.leq tptp.sk7 tptp.sk8))) :rule resolution :premises (t285 t292))
% 78.16/78.48 (step t294 (cl (tptp.leq tptp.sk7 tptp.sk8)) :rule resolution :premises (t75 a197 a198 a199 a200 a201 t253 t278 t293))
% 78.16/78.48 (step t295 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V)))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t296)
% 78.16/78.48 (assume t296.a0 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))
% 78.16/78.48 (step t296.t1 (cl (or (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V)))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8)))) :rule forall_inst :args ((:= U tptp.sk7) (:= V tptp.sk8)))
% 78.16/78.48 (step t296.t2 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V)))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) :rule or :premises (t296.t1))
% 78.16/78.48 (step t296.t3 (cl (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) :rule resolution :premises (t296.t2 t296.a0))
% 78.16/78.48 (step t296 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V)))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) :rule subproof :discharge (t296.a0))
% 78.16/78.48 (step t297 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) :rule resolution :premises (t295 t296))
% 78.16/78.48 (step t298 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) (not (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8)))) :rule implies_neg2)
% 78.16/78.48 (step t299 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8)))) :rule resolution :premises (t297 t298))
% 78.16/78.48 (step t300 (cl (=> (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8)))) :rule contraction :premises (t299))
% 78.16/78.48 (step t301 (cl (not (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V)))) (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) :rule implies :premises (t300))
% 78.16/78.48 (step t302 (cl (or (not (tptp.leq tptp.sk7 tptp.sk8)) (not (tptp.ssItem tptp.sk8)) (not (tptp.ssItem tptp.sk7)) (tptp.lt tptp.sk7 tptp.sk8) (= tptp.sk7 tptp.sk8))) :rule resolution :premises (t301 a120))
% 78.16/78.48 (step t303 (cl (= tptp.sk7 tptp.sk8)) :rule resolution :premises (t62 a197 a198 t73 t294 t302))
% 78.16/78.48 (step t304 (cl (not (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8))) :rule or_pos)
% 78.16/78.48 (step t305 (cl (not (tptp.ssItem tptp.sk8)) (not (tptp.lt tptp.sk8 tptp.sk8)) (not (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule reordering :premises (t304))
% 78.16/78.48 (step t306 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) :rule implies_neg1)
% 78.16/78.48 (anchor :step t307)
% 78.16/78.48 (assume t307.a0 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))
% 78.16/78.48 (step t307.t1 (cl (or (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule forall_inst :args ((:= U tptp.sk8)))
% 78.16/78.48 (step t307.t2 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule or :premises (t307.t1))
% 78.16/78.48 (step t307.t3 (cl (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule resolution :premises (t307.t2 t307.a0))
% 78.16/78.48 (step t307 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule subproof :discharge (t307.a0))
% 78.16/78.48 (step t308 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule resolution :premises (t306 t307))
% 78.16/78.48 (step t309 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (not (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule implies_neg2)
% 78.16/78.48 (step t310 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule resolution :premises (t308 t309))
% 78.16/78.48 (step t311 (cl (=> (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8))))) :rule contraction :premises (t310))
% 78.16/78.48 (step t312 (cl (not (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U))))) (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule implies :premises (t311))
% 78.16/78.48 (step t313 (cl (or (not (tptp.lt tptp.sk8 tptp.sk8)) (not (tptp.ssItem tptp.sk8)))) :rule resolution :premises (t312 a62))
% 78.16/78.48 (step t314 (cl (not (tptp.lt tptp.sk8 tptp.sk8))) :rule resolution :premises (t305 a198 t313))
% 78.16/78.48 (step t315 (cl) :rule resolution :premises (t60 t303 t314 a203))
% 78.16/78.48
% 78.25/78.48 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.RrFAVAXM8b/cvc5---1.0.5_1813.smt2
% 78.25/78.48 % cvc5---1.0.5 exiting
% 78.25/78.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------