%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC161-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 Jun 3 08:58:17 AM UTC 2026 % Result : Unsatisfiable 68.32s 68.57s % Output : Proof 68.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC161-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:18:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.60/15.84 --- Run --no-e-matching --full-saturate-quant at 6... % 21.60/21.88 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.71/27.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.70/34.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.83/64.13 --- Run --trigger-sel=max --full-saturate-quant at 15... % 68.32/68.57 % SZS status Unsatisfiable % 68.32/68.57 % SZS output start Proof % 68.32/68.58 ( % 68.32/68.58 (declare-sort $$unsorted 0) % 68.32/68.58 (declare-const tptp.sk12 $$unsorted) % 68.32/68.58 (declare-const tptp.sk11 $$unsorted) % 68.32/68.58 (declare-const tptp.sk10 $$unsorted) % 68.32/68.58 (declare-const tptp.sk9 $$unsorted) % 68.32/68.58 (declare-const tptp.sk8 $$unsorted) % 68.32/68.58 (declare-const tptp.sk7 $$unsorted) % 68.32/68.58 (declare-const tptp.sk5 $$unsorted) % 68.32/68.58 (declare-const tptp.sk4 $$unsorted) % 68.32/68.58 (declare-const tptp.sk2 $$unsorted) % 68.32/68.58 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.nil $$unsorted) % 68.32/68.58 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.sk1 $$unsorted) % 68.32/68.58 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skac2 $$unsorted) % 68.32/68.58 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.sk3 $$unsorted) % 68.32/68.58 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.sk6 $$unsorted) % 68.32/68.58 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.ssList (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skac3 $$unsorted) % 68.32/68.58 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.58 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 68.32/68.58 (define @t1 () (tptp.ssList tptp.nil)) % 68.32/68.58 (define @t2 () (@var "U" $$unsorted)) % 68.32/68.58 (define @t3 () (tptp.skaf83 @t2)) % 68.32/68.58 (define @t4 () (@list @t2)) % 68.32/68.58 (define @t5 () (tptp.skaf82 @t2)) % 68.32/68.58 (define @t6 () (tptp.skaf81 @t2)) % 68.32/68.58 (define @t7 () (tptp.skaf80 @t2)) % 68.32/68.58 (define @t8 () (tptp.skaf79 @t2)) % 68.32/68.58 (define @t9 () (tptp.skaf78 @t2)) % 68.32/68.58 (define @t10 () (tptp.skaf77 @t2)) % 68.32/68.58 (define @t11 () (tptp.skaf76 @t2)) % 68.32/68.58 (define @t12 () (tptp.skaf75 @t2)) % 68.32/68.58 (define @t13 () (tptp.skaf74 @t2)) % 68.32/68.58 (define @t14 () (tptp.skaf73 @t2)) % 68.32/68.58 (define @t15 () (tptp.skaf72 @t2)) % 68.32/68.58 (define @t16 () (tptp.skaf71 @t2)) % 68.32/68.58 (define @t17 () (tptp.skaf70 @t2)) % 68.32/68.58 (define @t18 () (tptp.skaf69 @t2)) % 68.32/68.58 (define @t19 () (tptp.skaf68 @t2)) % 68.32/68.58 (define @t20 () (tptp.skaf67 @t2)) % 68.32/68.58 (define @t21 () (tptp.skaf66 @t2)) % 68.32/68.58 (define @t22 () (tptp.skaf65 @t2)) % 68.32/68.58 (define @t23 () (tptp.skaf64 @t2)) % 68.32/68.58 (define @t24 () (tptp.skaf63 @t2)) % 68.32/68.58 (define @t25 () (tptp.skaf62 @t2)) % 68.32/68.58 (define @t26 () (tptp.skaf61 @t2)) % 68.32/68.58 (define @t27 () (tptp.skaf60 @t2)) % 68.32/68.58 (define @t28 () (tptp.skaf59 @t2)) % 68.32/68.58 (define @t29 () (tptp.skaf58 @t2)) % 68.32/68.58 (define @t30 () (tptp.skaf57 @t2)) % 68.32/68.58 (define @t31 () (tptp.skaf56 @t2)) % 68.32/68.58 (define @t32 () (tptp.skaf55 @t2)) % 68.32/68.58 (define @t33 () (tptp.skaf54 @t2)) % 68.32/68.58 (define @t34 () (tptp.skaf53 @t2)) % 68.32/68.58 (define @t35 () (tptp.skaf52 @t2)) % 68.32/68.58 (define @t36 () (tptp.skaf51 @t2)) % 68.32/68.58 (define @t37 () (tptp.skaf50 @t2)) % 68.32/68.58 (define @t38 () (tptp.skaf49 @t2)) % 68.32/68.58 (define @t39 () (tptp.skaf44 @t2)) % 68.32/68.58 (define @t40 () (@var "V" $$unsorted)) % 68.32/68.58 (define @t41 () (@list @t2 @t40)) % 68.32/68.58 (define @t42 () (tptp.skaf47 @t2 @t40)) % 68.32/68.58 (define @t43 () (tptp.skaf46 @t2 @t40)) % 68.32/68.58 (define @t44 () (tptp.skaf45 @t2 @t40)) % 68.32/68.58 (define @t45 () (tptp.skaf42 @t2 @t40)) % 68.32/68.58 (define @t46 () (not (tptp.ssItem @t2))) % 68.32/68.58 (define @t47 () (not (tptp.ssList @t2))) % 68.32/68.58 (define @t48 () (tptp.cons @t2 tptp.nil)) % 68.32/68.58 (define @t49 () (tptp.ssItem @t40)) % 68.32/68.58 (define @t50 () (tptp.duplicatefreeP @t2)) % 68.32/68.58 (define @t51 () (tptp.app tptp.nil @t2)) % 68.32/68.58 (define @t52 () (or @t47 (= @t51 @t2))) % 68.32/68.58 (define @t53 () (forall @t4 @t52)) % 68.32/68.58 (define @t54 () (= tptp.nil @t2)) % 68.32/68.58 (define @t55 () (tptp.tl @t2)) % 68.32/68.58 (define @t56 () (tptp.hd @t2)) % 68.32/68.58 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 68.32/68.58 (define @t58 () (not @t54)) % 68.32/68.58 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 68.32/68.58 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 68.32/68.58 (define @t61 () (tptp.app @t40 @t2)) % 68.32/68.58 (define @t62 () (not (tptp.ssList @t40))) % 68.32/68.58 (define @t63 () (tptp.cons @t2 @t40)) % 68.32/68.58 (define @t64 () (tptp.cyclefreeP @t2)) % 68.32/68.58 (define @t65 () (tptp.equalelemsP @t2)) % 68.32/68.58 (define @t66 () (tptp.strictorderedP @t2)) % 68.32/68.58 (define @t67 () (tptp.totalorderedP @t2)) % 68.32/68.58 (define @t68 () (tptp.strictorderP @t2)) % 68.32/68.58 (define @t69 () (tptp.totalorderP @t2)) % 68.32/68.58 (define @t70 () (= @t40 @t2)) % 68.32/68.58 (define @t71 () (tptp.neq @t40 @t2)) % 68.32/68.58 (define @t72 () (not @t49)) % 68.32/68.58 (define @t73 () (tptp.leq @t2 @t40)) % 68.32/68.58 (define @t74 () (tptp.lt @t2 @t40)) % 68.32/68.58 (define @t75 () (not @t74)) % 68.32/68.58 (define @t76 () (tptp.lt @t40 @t2)) % 68.32/68.58 (define @t77 () (not (tptp.gt @t2 @t40))) % 68.32/68.58 (define @t78 () (tptp.gt @t40 @t2)) % 68.32/68.58 (define @t79 () (tptp.leq @t40 @t2)) % 68.32/68.58 (define @t80 () (not (tptp.geq @t2 @t40))) % 68.32/68.58 (define @t81 () (tptp.geq @t40 @t2)) % 68.32/68.58 (define @t82 () (not @t73)) % 68.32/68.58 (define @t83 () (= @t2 @t40)) % 68.32/68.58 (define @t84 () (not @t83)) % 68.32/68.58 (define @t85 () (tptp.cons @t40 @t2)) % 68.32/68.58 (define @t86 () (not (tptp.neq @t2 @t40))) % 68.32/68.58 (define @t87 () (tptp.app @t2 @t40)) % 68.32/68.58 (define @t88 () (= @t87 tptp.nil)) % 68.32/68.58 (define @t89 () (not @t88)) % 68.32/68.58 (define @t90 () (= tptp.nil @t40)) % 68.32/68.58 (define @t91 () (tptp.app @t48 @t40)) % 68.32/68.58 (define @t92 () (or @t46 @t62 (= @t91 @t63))) % 68.32/68.58 (define @t93 () (forall @t41 @t92)) % 68.32/68.58 (define @t94 () (tptp.hd @t40)) % 68.32/68.58 (define @t95 () (tptp.strictorderedP @t40)) % 68.32/68.58 (define @t96 () (tptp.strictorderedP @t63)) % 68.32/68.58 (define @t97 () (not @t96)) % 68.32/68.58 (define @t98 () (tptp.totalorderedP @t40)) % 68.32/68.58 (define @t99 () (tptp.totalorderedP @t63)) % 68.32/68.58 (define @t100 () (not @t99)) % 68.32/68.58 (define @t101 () (not (tptp.segmentP @t2 @t40))) % 68.32/68.58 (define @t102 () (not (tptp.rearsegP @t2 @t40))) % 68.32/68.58 (define @t103 () (not (tptp.frontsegP @t2 @t40))) % 68.32/68.58 (define @t104 () (not @t79)) % 68.32/68.58 (define @t105 () (or @t82 @t104 @t46 @t72 @t70)) % 68.32/68.58 (define @t106 () (forall @t41 @t105)) % 68.32/68.58 (define @t107 () (tptp.tl @t40)) % 68.32/68.58 (define @t108 () (tptp.lt @t2 @t94)) % 68.32/68.58 (define @t109 () (tptp.leq @t2 @t94)) % 68.32/68.58 (define @t110 () (@var "W" $$unsorted)) % 68.32/68.58 (define @t111 () (tptp.app @t110 @t2)) % 68.32/68.58 (define @t112 () (not (tptp.ssList @t110))) % 68.32/68.58 (define @t113 () (@list @t2 @t40 @t110)) % 68.32/68.58 (define @t114 () (tptp.app @t2 @t110)) % 68.32/68.58 (define @t115 () (tptp.cons @t40 @t110)) % 68.32/68.58 (define @t116 () (tptp.cons @t110 @t2)) % 68.32/68.58 (define @t117 () (not (tptp.ssItem @t110))) % 68.32/68.58 (define @t118 () (not (tptp.memberP @t2 @t40))) % 68.32/68.58 (define @t119 () (not (= @t87 @t110))) % 68.32/68.58 (define @t120 () (tptp.lt @t2 @t110)) % 68.32/68.58 (define @t121 () (not (tptp.lt @t40 @t110))) % 68.32/68.58 (define @t122 () (tptp.app @t110 @t40)) % 68.32/68.58 (define @t123 () (= @t40 @t110)) % 68.32/68.58 (define @t124 () (= @t2 @t110)) % 68.32/68.58 (define @t125 () (tptp.memberP @t40 @t110)) % 68.32/68.58 (define @t126 () (@var "X" $$unsorted)) % 68.32/68.58 (define @t127 () (not (tptp.ssList @t126))) % 68.32/68.58 (define @t128 () (tptp.cons @t110 @t126)) % 68.32/68.58 (define @t129 () (not (= @t63 @t128))) % 68.32/68.58 (define @t130 () (@list @t2 @t40 @t110 @t126)) % 68.32/68.58 (define @t131 () (not (tptp.frontsegP @t63 @t128))) % 68.32/68.58 (define @t132 () (tptp.app @t2 @t115)) % 68.32/68.58 (define @t133 () (not (tptp.ssItem @t126))) % 68.32/68.58 (define @t134 () (@var "Y" $$unsorted)) % 68.32/68.58 (define @t135 () (not (tptp.ssList @t134))) % 68.32/68.58 (define @t136 () (@list @t2 @t40 @t110 @t126 @t134)) % 68.32/68.58 (define @t137 () (tptp.lt @t40 @t126)) % 68.32/68.58 (define @t138 () (@var "Z" $$unsorted)) % 68.32/68.58 (define @t139 () (not (tptp.ssList @t138))) % 68.32/68.58 (define @t140 () (not (tptp.strictorderedP @t138))) % 68.32/68.58 (define @t141 () (tptp.app @t132 (tptp.cons @t126 @t134))) % 68.32/68.58 (define @t142 () (not (= @t141 @t138))) % 68.32/68.58 (define @t143 () (or @t142 @t135 @t112 @t47 @t133 @t72 @t140 @t139 @t137)) % 68.32/68.58 (define @t144 () (@list @t2 @t40 @t110 @t126 @t134 @t138)) % 68.32/68.58 (define @t145 () (forall @t144 @t143)) % 68.32/68.58 (define @t146 () (tptp.leq @t40 @t126)) % 68.32/68.58 (define @t147 () (tptp.ssList tptp.sk1)) % 68.32/68.58 (define @t148 () (tptp.strictorderedP tptp.sk3)) % 68.32/68.58 (define @t149 () (@var "C" $$unsorted)) % 68.32/68.58 (define @t150 () (@var "A" $$unsorted)) % 68.32/68.58 (define @t151 () (@var "D" $$unsorted)) % 68.32/68.58 (define @t152 () (tptp.cons @t149 tptp.nil)) % 68.32/68.58 (define @t153 () (not (tptp.ssList @t151))) % 68.32/68.58 (define @t154 () (not (tptp.ssItem @t149))) % 68.32/68.58 (define @t155 () (tptp.cons @t150 tptp.nil)) % 68.32/68.58 (define @t156 () (@var "B" $$unsorted)) % 68.32/68.58 (define @t157 () (not (tptp.ssList @t156))) % 68.32/68.58 (define @t158 () (not (tptp.ssItem @t150))) % 68.32/68.58 (define @t159 () (@list @t150 @t156 @t149 @t151)) % 68.32/68.58 (define @t160 () (tptp.ssItem tptp.sk7)) % 68.32/68.58 (define @t161 () (tptp.ssItem tptp.sk8)) % 68.32/68.58 (define @t162 () (tptp.ssList tptp.sk9)) % 68.32/68.58 (define @t163 () (tptp.ssList tptp.sk10)) % 68.32/68.58 (define @t164 () (tptp.ssList tptp.sk11)) % 68.32/68.58 (define @t165 () (tptp.cons tptp.sk8 tptp.nil)) % 68.32/68.58 (define @t166 () (tptp.cons tptp.sk7 tptp.nil)) % 68.32/68.58 (define @t167 () (tptp.app tptp.sk9 @t166)) % 68.32/68.58 (define @t168 () (tptp.app @t167 tptp.sk10)) % 68.32/68.58 (define @t169 () (tptp.app (tptp.app @t168 @t165) tptp.sk11)) % 68.32/68.58 (define @t170 () (tptp.leq tptp.sk8 tptp.sk7)) % 68.32/68.58 (define @t171 () (tptp.leq tptp.sk7 tptp.sk8)) % 68.32/68.58 (define @t172 () (not @t171)) % 68.32/68.58 (define @t173 () (not @t160)) % 68.32/68.58 (define @t174 () (not (tptp.lt tptp.sk7 tptp.sk7))) % 68.32/68.58 (define @t175 () (or @t174 @t173)) % 68.32/68.58 (define @t176 () (@list false false)) % 68.32/68.58 (define @t177 () (not @t161)) % 68.32/68.58 (define @t178 () (not @t170)) % 68.32/68.58 (define @t179 () (or @t178 @t172 @t177 @t173 (= tptp.sk8 tptp.sk7))) % 68.32/68.58 (define @t180 () (forall @t41 (or @t82 @t104 @t46 @t72 @t83))) % 68.32/68.58 (define @t181 () (= tptp.sk7 tptp.sk8)) % 68.32/68.58 (define @t182 () (or @t178 @t172 @t177 @t173 @t181)) % 68.32/68.58 (define @t183 () (@list false)) % 68.32/68.58 (define @t184 () (not (tptp.ssList @t141))) % 68.32/68.58 (define @t185 () (not (tptp.strictorderedP @t141))) % 68.32/68.58 (define @t186 () (not (= @t141 @t141))) % 68.32/68.58 (define @t187 () (or @t186 @t135 @t112 @t47 @t133 @t72 @t185 @t184 @t137)) % 68.32/68.58 (define @t188 () (not (= @t138 @t141))) % 68.32/68.58 (define @t189 () (or @t188 @t188 @t135 @t112 @t47 @t133 @t72 @t140 @t139 @t137)) % 68.32/68.58 (define @t190 () (@list @t138)) % 68.32/68.58 (define @t191 () (or @t188 @t135 @t112 @t47 @t133 @t72 @t140 @t139 @t137)) % 68.32/68.58 (define @t192 () (forall @t190 @t191)) % 68.32/68.58 (define @t193 () (forall @t136 @t192)) % 68.32/68.58 (define @t194 () (tptp.ssList @t166)) % 68.32/68.58 (define @t195 () (not @t1)) % 68.32/68.58 (define @t196 () (or @t173 @t195 @t194)) % 68.32/68.58 (define @t197 () (@list false false false)) % 68.32/68.58 (define @t198 () (tptp.ssList @t167)) % 68.32/68.58 (define @t199 () (not @t162)) % 68.32/68.58 (define @t200 () (not @t194)) % 68.32/68.58 (define @t201 () (or @t200 @t199 @t198)) % 68.32/68.58 (define @t202 () (tptp.ssList @t168)) % 68.32/68.58 (define @t203 () (not @t198)) % 68.32/68.58 (define @t204 () (not @t163)) % 68.32/68.58 (define @t205 () (or @t204 @t203 @t202)) % 68.32/68.58 (define @t206 () (tptp.ssList @t165)) % 68.32/68.58 (define @t207 () (or @t177 @t195 @t206)) % 68.32/68.58 (define @t208 () (tptp.app @t165 tptp.sk11)) % 68.32/68.58 (define @t209 () (= @t169 (tptp.app @t168 @t208))) % 68.32/68.58 (define @t210 () (not @t202)) % 68.32/68.58 (define @t211 () (not @t206)) % 68.32/68.58 (define @t212 () (not @t164)) % 68.32/68.58 (define @t213 () (or @t212 @t211 @t210 @t209)) % 68.32/68.58 (define @t214 () (@list false false false false)) % 68.32/68.58 (define @t215 () (tptp.cons tptp.sk8 tptp.sk11)) % 68.32/68.58 (define @t216 () (or @t177 @t212 (= @t215 @t208))) % 68.32/68.58 (define @t217 () (forall @t41 (or @t46 @t62 (= @t63 @t91)))) % 68.32/68.58 (define @t218 () (= @t208 @t215)) % 68.32/68.58 (define @t219 () (or @t177 @t212 @t218)) % 68.32/68.58 (define @t220 () (@list @t217)) % 68.32/68.58 (define @t221 () (tptp.app @t166 tptp.sk10)) % 68.32/68.58 (define @t222 () (= @t168 (tptp.app tptp.sk9 @t221))) % 68.32/68.58 (define @t223 () (or @t204 @t200 @t199 @t222)) % 68.32/68.58 (define @t224 () (tptp.app tptp.nil tptp.sk9)) % 68.32/68.58 (define @t225 () (= tptp.sk9 @t224)) % 68.32/68.58 (define @t226 () (or @t199 @t225)) % 68.32/68.58 (define @t227 () (tptp.cons tptp.sk7 tptp.sk10)) % 68.32/68.58 (define @t228 () (or @t173 @t204 (= @t227 @t221))) % 68.32/68.58 (define @t229 () (= @t221 @t227)) % 68.32/68.58 (define @t230 () (or @t173 @t204 @t229)) % 68.32/68.58 (define @t231 () (tptp.app tptp.sk9 @t227)) % 68.32/68.58 (define @t232 () (tptp.app @t231 @t215)) % 68.32/68.58 (define @t233 () (tptp.ssList @t232)) % 68.32/68.58 (define @t234 () (tptp.strictorderedP @t232)) % 68.32/68.58 (define @t235 () (tptp.lt tptp.sk7 tptp.sk8)) % 68.32/68.58 (define @t236 () (not @t233)) % 68.32/68.58 (define @t237 () (not @t234)) % 68.32/68.58 (define @t238 () (or @t212 @t204 @t199 @t177 @t173 @t237 @t236 @t235)) % 68.32/68.58 (define @t239 () (not @t235)) % 68.32/68.58 (define @t240 () (or @t239 @t177 @t173 @t171)) % 68.32/68.58 (assume @p1 (tptp.equalelemsP tptp.nil)) % 68.32/68.58 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 68.32/68.58 (assume @p3 (tptp.strictorderedP tptp.nil)) % 68.32/68.58 (assume @p4 (tptp.totalorderedP tptp.nil)) % 68.32/68.58 (assume @p5 (tptp.strictorderP tptp.nil)) % 68.32/68.58 (assume @p6 (tptp.totalorderP tptp.nil)) % 68.32/68.58 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 68.32/68.58 (assume @p8 @t1) % 68.32/68.58 (assume @p9 (tptp.ssItem tptp.skac3)) % 68.32/68.58 (assume @p10 (tptp.ssItem tptp.skac2)) % 68.32/68.58 (assume @p11 (not (tptp.singletonP tptp.nil))) % 68.32/68.58 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 68.32/68.58 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 68.32/68.58 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 68.32/68.58 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 68.32/68.58 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 68.32/68.58 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 68.32/68.58 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 68.32/68.58 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 68.32/68.58 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 68.32/68.58 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 68.32/68.58 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 68.32/68.58 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 68.32/68.58 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 68.32/68.58 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 68.32/68.58 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 68.32/68.58 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 68.32/68.58 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 68.32/68.58 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 68.32/68.58 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 68.32/68.58 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 68.32/68.58 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 68.32/68.58 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 68.32/68.58 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 68.32/68.58 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 68.32/68.58 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 68.32/68.58 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 68.32/68.58 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 68.32/68.58 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 68.32/68.58 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 68.32/68.58 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 68.32/68.58 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 68.32/68.58 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 68.32/68.58 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 68.32/68.58 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 68.32/68.58 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 68.32/68.58 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 68.32/68.58 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 68.32/68.58 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 68.32/68.58 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 68.32/68.58 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 68.32/68.58 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 68.32/68.58 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 68.32/68.58 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 68.32/68.58 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 68.32/68.58 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 68.32/68.58 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 68.32/68.58 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 68.32/68.58 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 68.32/68.58 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 68.32/68.58 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 68.32/68.58 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 68.32/68.58 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 68.32/68.58 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 68.32/68.58 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 68.32/68.58 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 68.32/68.58 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 68.32/68.58 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 68.32/68.58 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 68.32/68.58 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 68.32/68.58 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 68.32/68.58 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 68.32/68.58 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 68.32/68.58 (assume @p74 @t53) % 68.32/68.58 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 68.32/68.58 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 68.32/68.58 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 68.32/68.58 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 68.32/68.58 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 68.32/68.58 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 68.32/68.58 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 68.32/68.58 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 68.32/68.58 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 68.32/68.58 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 68.32/68.58 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 68.32/68.58 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 68.32/68.58 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 68.32/68.58 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 68.32/68.58 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 68.32/68.58 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 68.32/68.58 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 68.32/68.58 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 68.32/68.58 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 68.32/68.58 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 68.32/68.58 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 68.32/68.58 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 68.32/68.58 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 68.32/68.58 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 68.32/68.58 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 68.32/68.58 (assume @p100 (forall @t41 (or @t46 @t72 @t71 @t70))) % 68.32/68.58 (assume @p101 (forall @t41 (or @t75 @t72 @t46 @t73))) % 68.32/68.58 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 68.32/68.58 (assume @p103 (forall @t41 (or @t77 @t72 @t46 @t76))) % 68.32/68.58 (assume @p104 (forall @t41 (or @t75 @t46 @t72 @t78))) % 68.32/68.58 (assume @p105 (forall @t41 (or @t80 @t72 @t46 @t79))) % 68.32/68.58 (assume @p106 (forall @t41 (or @t82 @t46 @t72 @t81))) % 68.32/68.58 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 68.32/68.58 (assume @p108 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 68.32/68.58 (assume @p109 (forall @t41 (or @t84 @t75 @t72 @t46))) % 68.32/68.58 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t85)))) % 68.32/68.58 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t85)))) % 68.32/68.58 (assume @p112 (forall @t41 (or @t75 (not @t76) @t46 @t72))) % 68.32/68.58 (assume @p113 (forall @t41 (or @t84 @t86 @t62 @t47))) % 68.32/68.58 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 68.32/68.58 (assume @p115 (forall @t41 (or @t84 @t86 @t72 @t46))) % 68.32/68.58 (assume @p116 (forall @t41 (or @t89 @t62 @t47 @t54))) % 68.32/68.58 (assume @p117 (forall @t41 (or @t89 @t62 @t47 @t90))) % 68.32/68.58 (assume @p118 @t93) % 68.32/68.58 (assume @p119 (forall @t41 (or @t82 @t72 @t46 @t74 @t83))) % 68.32/68.58 (assume @p120 (forall @t41 (or @t47 @t62 @t90 (= (tptp.hd @t61) @t94)))) % 68.32/68.58 (assume @p121 (forall @t41 (or @t97 @t62 @t46 @t95 @t90))) % 68.32/68.58 (assume @p122 (forall @t41 (or @t100 @t62 @t46 @t98 @t90))) % 68.32/68.58 (assume @p123 (forall @t41 (or @t80 (not @t81) @t46 @t72 @t70))) % 68.32/68.58 (assume @p124 (forall @t41 (or @t101 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 68.32/68.58 (assume @p125 (forall @t41 (or @t102 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 68.32/68.58 (assume @p126 (forall @t41 (or @t103 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 68.32/68.58 (assume @p127 @t106) % 68.32/68.58 (assume @p128 (forall @t41 (or @t102 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 68.32/68.58 (assume @p129 (forall @t41 (or @t103 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 68.32/68.58 (assume @p130 (forall @t41 (or @t47 @t62 @t90 (= (tptp.tl @t61) (tptp.app @t107 @t2))))) % 68.32/68.58 (assume @p131 (forall @t41 (or @t97 @t62 @t46 @t108 @t90))) % 68.32/68.58 (assume @p132 (forall @t41 (or @t100 @t62 @t46 @t109 @t90))) % 68.32/68.58 (assume @p133 (forall @t113 (or @t102 @t112 @t62 @t47 (tptp.rearsegP @t111 @t40)))) % 68.32/68.58 (assume @p134 (forall @t113 (or @t103 @t112 @t62 @t47 (tptp.frontsegP @t114 @t40)))) % 68.32/68.58 (assume @p135 (forall @t113 (or @t84 @t112 @t72 @t46 (tptp.memberP @t115 @t2)))) % 68.32/68.58 (assume @p136 (forall @t113 (or @t118 @t47 @t117 @t72 (tptp.memberP @t116 @t40)))) % 68.32/68.58 (assume @p137 (forall @t113 (or @t118 @t112 @t47 @t72 (tptp.memberP @t114 @t40)))) % 68.32/68.58 (assume @p138 (forall @t113 (or @t118 @t47 @t112 @t72 (tptp.memberP @t111 @t40)))) % 68.32/68.58 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 68.32/68.58 (assume @p140 (forall @t113 (or @t119 @t47 @t62 @t112 (tptp.rearsegP @t110 @t40)))) % 68.32/68.58 (assume @p141 (forall @t113 (or @t119 @t62 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 68.32/68.58 (assume @p142 (forall @t41 (or @t58 (not @t90) @t62 @t47 @t88))) % 68.32/68.58 (assume @p143 (forall @t113 (or @t77 (not (tptp.gt @t40 @t110)) @t117 @t72 @t46 (tptp.gt @t2 @t110)))) % 68.32/68.58 (assume @p144 (forall @t113 (or @t82 @t121 @t117 @t72 @t46 @t120))) % 68.32/68.58 (assume @p145 (forall @t113 (or @t80 (not (tptp.geq @t40 @t110)) @t117 @t72 @t46 (tptp.geq @t2 @t110)))) % 68.32/68.58 (assume @p146 (forall @t113 (or @t47 @t62 @t112 (= (tptp.app @t122 @t2) (tptp.app @t110 @t61))))) % 68.32/68.58 (assume @p147 (forall @t113 (or (not (= @t87 @t114)) @t62 @t47 @t112 @t123))) % 68.32/68.58 (assume @p148 (forall @t113 (or (not (= @t87 @t122)) @t47 @t62 @t112 @t124))) % 68.32/68.58 (assume @p149 (forall @t113 (or @t101 (not (tptp.segmentP @t40 @t110)) @t112 @t62 @t47 (tptp.segmentP @t2 @t110)))) % 68.32/68.58 (assume @p150 (forall @t113 (or @t102 (not (tptp.rearsegP @t40 @t110)) @t112 @t62 @t47 (tptp.rearsegP @t2 @t110)))) % 68.32/68.58 (assume @p151 (forall @t113 (or @t103 (not (tptp.frontsegP @t40 @t110)) @t112 @t62 @t47 (tptp.frontsegP @t2 @t110)))) % 68.32/68.58 (assume @p152 (forall @t113 (or @t75 @t121 @t117 @t72 @t46 @t120))) % 68.32/68.58 (assume @p153 (forall @t113 (or @t82 (not (tptp.leq @t40 @t110)) @t117 @t72 @t46 (tptp.leq @t2 @t110)))) % 68.32/68.58 (assume @p154 (forall @t113 (or @t46 @t62 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t63 @t110))))) % 68.32/68.58 (assume @p155 (forall @t113 (or (not (tptp.memberP @t87 @t110)) @t62 @t47 @t117 @t125 (tptp.memberP @t2 @t110)))) % 68.32/68.58 (assume @p156 (forall @t41 (or (not @t109) (not @t98) @t62 @t46 @t99 @t90))) % 68.32/68.58 (assume @p157 (forall @t41 (or (not @t108) (not @t95) @t62 @t46 @t96 @t90))) % 68.32/68.58 (assume @p158 (forall @t113 (or (not (tptp.memberP @t63 @t110)) @t62 @t46 @t117 @t125 (= @t110 @t2)))) % 68.32/68.58 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 68.32/68.58 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 68.32/68.58 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 68.32/68.58 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 68.32/68.58 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 68.32/68.58 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 68.32/68.58 (assume @p165 (forall @t41 (or @t101 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 68.32/68.58 (assume @p166 (forall @t41 (or @t118 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 68.32/68.58 (assume @p167 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 @t124))) % 68.32/68.58 (assume @p168 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 (= @t126 @t40)))) % 68.32/68.58 (assume @p169 (forall @t130 (or @t101 @t112 @t127 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t126 @t2) @t110) @t40)))) % 68.32/68.58 (assume @p170 (forall @t130 (or (not (= (tptp.app @t87 @t110) @t126)) @t112 @t47 @t62 @t127 (tptp.segmentP @t126 @t40)))) % 68.32/68.58 (assume @p171 (forall @t130 (or @t131 @t127 @t62 @t117 @t46 (tptp.frontsegP @t40 @t126)))) % 68.32/68.58 (assume @p172 (forall @t130 (or (not (= @t132 @t126)) @t112 @t47 @t72 @t127 (tptp.memberP @t126 @t40)))) % 68.32/68.58 (assume @p173 (forall @t130 (or @t131 @t127 @t62 @t117 @t46 @t124))) % 68.32/68.58 (assume @p174 (forall @t41 (or (not (= @t55 @t107)) (not (= @t56 @t94)) @t47 @t62 @t90 @t83 @t54))) % 68.32/68.58 (assume @p175 (forall @t130 (or @t103 (not (= @t110 @t126)) @t62 @t47 @t133 @t117 (tptp.frontsegP @t116 (tptp.cons @t126 @t40))))) % 68.32/68.58 (assume @p176 (forall @t136 (or (not (= (tptp.app @t132 (tptp.cons @t40 @t126)) @t134)) @t127 @t112 @t47 @t72 (not (tptp.duplicatefreeP @t134)) @t135))) % 68.32/68.58 (assume @p177 (forall @t136 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t128)) @t134)) @t127 @t47 @t117 @t72 (not (tptp.equalelemsP @t134)) @t135 @t123))) % 68.32/68.58 (assume @p178 @t145) % 68.32/68.58 (assume @p179 (forall @t144 (or @t142 @t135 @t112 @t47 @t133 @t72 (not (tptp.totalorderedP @t138)) @t139 @t146))) % 68.32/68.58 (assume @p180 (forall @t144 (or @t142 @t135 @t112 @t47 @t133 @t72 (not (tptp.strictorderP @t138)) @t139 @t137 (tptp.lt @t126 @t40)))) % 68.32/68.58 (assume @p181 (forall @t144 (or @t142 @t135 @t112 @t47 @t133 @t72 (not (tptp.totalorderP @t138)) @t139 @t146 (tptp.leq @t126 @t40)))) % 68.32/68.58 (assume @p182 (forall @t144 (or @t82 @t104 (not (= (tptp.app (tptp.app @t110 (tptp.cons @t2 @t126)) (tptp.cons @t40 @t134)) @t138)) @t135 @t127 @t112 @t72 @t46 (not (tptp.cyclefreeP @t138)) @t139))) % 68.32/68.58 (assume @p183 @t147) % 68.32/68.58 (assume @p184 (tptp.ssList tptp.sk2)) % 68.32/68.58 (assume @p185 (tptp.ssList tptp.sk3)) % 68.32/68.58 (assume @p186 (tptp.ssList tptp.sk4)) % 68.32/68.58 (assume @p187 (= tptp.sk2 tptp.sk4)) % 68.32/68.58 (assume @p188 (= tptp.sk1 tptp.sk3)) % 68.32/68.58 (assume @p189 (tptp.ssList tptp.sk5)) % 68.32/68.58 (assume @p190 (tptp.ssList tptp.sk6)) % 68.32/68.58 (assume @p191 (= (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6) tptp.sk4)) % 68.32/68.58 (assume @p192 @t148) % 68.32/68.58 (assume @p193 (forall @t159 (or @t158 @t157 (not (= (tptp.app @t156 @t155) tptp.sk5)) @t154 @t153 (not (= (tptp.app @t152 @t151) tptp.sk3)) (not (tptp.lt @t150 @t149))))) % 68.32/68.58 (assume @p194 (forall @t159 (or @t158 @t157 (not (= (tptp.app @t155 @t156) tptp.sk6)) @t154 @t153 (not (= (tptp.app @t151 @t152) tptp.sk3)) (not (tptp.lt @t149 @t150))))) % 68.32/68.58 (assume @p195 @t160) % 68.32/68.58 (assume @p196 @t161) % 68.32/68.58 (assume @p197 @t162) % 68.32/68.58 (assume @p198 @t163) % 68.32/68.58 (assume @p199 @t164) % 68.32/68.58 (assume @p200 (= @t169 tptp.sk1)) % 68.32/68.58 (assume @p201 @t170) % 68.32/68.58 (assume @p202 (or (tptp.ssItem tptp.sk12) @t172)) % 68.32/68.58 (assume @p203 (or (tptp.memberP tptp.sk10 tptp.sk12) @t172)) % 68.32/68.58 (assume @p204 (or (not (tptp.leq tptp.sk7 tptp.sk12)) (not (tptp.leq tptp.sk12 tptp.sk8)) @t172)) % 68.32/68.58 (assume @p205 (or (= tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk3)))) % 68.32/68.58 (step @p206 :rule evaluate :args ((= true false))) % 68.32/68.58 (step @p207 :rule instantiate :premises (@p63) :args ((@list tptp.sk7))) % 68.32/68.58 (step @p208 :rule cnf_or_pos :args (@t175)) % 68.32/68.58 (step @p209 :rule reordering :premises (@p208) :args ((or @t173 @t174 (not @t175)))) % 68.32/68.58 (step @p210 :rule chain_m_resolution :premises (@p209 @p195 @p207) :args (@t174 @t176 (@list @t160 @t175))) % 68.32/68.58 (step @p211 :rule false_intro :premises (@p210)) % 68.32/68.58 (step @p212 :rule eq-symm :args (@t40 @t2)) % 68.32/68.58 (step @p213 :rule refl :args (@t72)) % 68.32/68.58 (step @p214 :rule refl :args (@t46)) % 68.32/68.58 (step @p215 :rule refl :args (@t104)) % 68.32/68.58 (step @p216 :rule refl :args (@t82)) % 68.32/68.58 (step @p217 :rule nary_cong :premises (@p216 @p215 @p214 @p213 @p212) :args (@t105)) % 68.32/68.58 (step @p218 :rule cong :premises (@p217) :args (@t106)) % 68.32/68.58 (step @p219 :rule eq_resolve :premises (@p127 @p218)) % 68.32/68.58 (step @p220 :rule eq-symm :args (tptp.sk8 tptp.sk7)) % 68.32/68.58 (step @p221 :rule refl :args (@t173)) % 68.32/68.58 (step @p222 :rule refl :args (@t177)) % 68.32/68.58 (step @p223 :rule refl :args (@t172)) % 68.32/68.58 (step @p224 :rule refl :args (@t178)) % 68.32/68.58 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p221 @p220) :args (@t179)) % 68.32/68.58 (step @p226 :rule refl :args (@t180)) % 68.32/68.58 (step @p227 :rule cong :premises (@p226 @p225) :args ((=> @t180 @t179))) % 68.32/68.58 (assume-push @p378 @t180) % 68.32/68.58 (step @p229 :rule instantiate :premises (@p219) :args ((@list tptp.sk8 tptp.sk7))) % 68.32/68.58 (step-pop @p379 :rule scope :premises (@p229)) % 68.32/68.58 (step @p230 :rule process_scope :premises (@p379) :args (@t179)) % 68.32/68.58 (step @p232 :rule eq_resolve :premises (@p230 @p227)) % 68.32/68.58 (step @p233 :rule implies_elim :premises (@p232)) % 68.32/68.58 (step @p234 :rule chain_m_resolution :premises (@p233 @p219) :args (@t182 @t183 (@list @t180))) % 68.32/68.58 (step @p235 :rule instantiate :premises (@p101) :args ((@list tptp.sk7 tptp.sk8))) % 68.32/68.58 (step @p236 :rule aci_norm :args ((= (or false @t135 @t112 @t47 @t133 @t72 @t185 @t184 @t137) (or @t135 @t112 @t47 @t133 @t72 @t185 @t184 @t137)))) % 68.32/68.58 (step @p237 :rule refl :args (@t137)) % 68.32/68.58 (step @p238 :rule refl :args (@t184)) % 68.32/68.58 (step @p239 :rule refl :args (@t185)) % 68.32/68.58 (step @p240 :rule refl :args (@t133)) % 68.32/68.58 (step @p241 :rule refl :args (@t47)) % 68.32/68.58 (step @p242 :rule refl :args (@t112)) % 68.32/68.58 (step @p243 :rule refl :args (@t135)) % 68.32/68.58 (step @p244 :rule evaluate :args ((not true))) % 68.32/68.58 (step @p245 :rule eq-refl :args (@t141)) % 68.32/68.58 (step @p246 :rule cong :premises (@p245) :args (@t186)) % 68.32/68.58 (step @p247 :rule trans :premises (@p246 @p244)) % 68.32/68.58 (step @p248 :rule nary_cong :premises (@p247 @p243 @p242 @p241 @p240 @p213 @p239 @p238 @p237) :args (@t187)) % 68.32/68.58 (step @p249 :rule trans :premises (@p248 @p236)) % 68.32/68.58 (step @p250 :rule cong :premises (@p249) :args ((forall @t136 @t187))) % 68.32/68.58 (step @p251 :rule quant-var-elim-eq :args ((= (forall @t190 @t189) @t187))) % 68.32/68.58 (step @p252 :rule aci_norm :args ((= @t191 @t189))) % 68.32/68.58 (step @p253 :rule cong :premises (@p252) :args (@t192)) % 68.32/68.58 (step @p254 :rule trans :premises (@p253 @p251)) % 68.32/68.58 (step @p255 :rule cong :premises (@p254) :args (@t193)) % 68.32/68.58 (step @p256 :rule quant-merge-prenex :args ((= @t193 (forall @t144 @t191)))) % 68.32/68.58 (step @p257 :rule symm :premises (@p256)) % 68.32/68.58 (step @p258 :rule trans :premises (@p257 @p255)) % 68.32/68.58 (step @p259 :rule trans :premises (@p258 @p250)) % 68.32/68.58 (step @p260 :rule refl :args (@t139)) % 68.32/68.58 (step @p261 :rule refl :args (@t140)) % 68.32/68.58 (step @p262 :rule eq-symm :args (@t141 @t138)) % 68.32/68.58 (step @p263 :rule cong :premises (@p262) :args (@t142)) % 68.32/68.58 (step @p264 :rule nary_cong :premises (@p263 @p243 @p242 @p241 @p240 @p213 @p261 @p260 @p237) :args (@t143)) % 68.32/68.58 (step @p265 :rule cong :premises (@p264) :args (@t145)) % 68.32/68.58 (step @p266 :rule trans :premises (@p265 @p259)) % 68.32/68.58 (step @p267 :rule eq_resolve :premises (@p178 @p266)) % 68.32/68.58 (step @p268 :rule instantiate :premises (@p267) :args ((@list tptp.sk9 tptp.sk7 tptp.sk10 tptp.sk8 tptp.sk11))) % 68.32/68.58 (step @p269 :rule symm :premises (@p200)) % 68.32/68.58 (step @p270 :rule cong :premises (@p269) :args (@t147)) % 68.32/68.58 (step @p271 :rule eq_resolve :premises (@p183 @p270)) % 68.32/68.58 (step @p272 :rule true_intro :premises (@p271)) % 68.32/68.58 (step @p273 :rule instantiate :premises (@p146) :args ((@list tptp.sk11 @t165 @t168))) % 68.32/68.58 (step @p274 :rule instantiate :premises (@p83) :args ((@list tptp.sk10 @t167))) % 68.32/68.58 (step @p275 :rule instantiate :premises (@p83) :args ((@list @t166 tptp.sk9))) % 68.32/68.58 (step @p276 :rule instantiate :premises (@p84) :args ((@list tptp.sk7 tptp.nil))) % 68.32/68.58 (step @p277 :rule cnf_or_pos :args (@t196)) % 68.32/68.58 (step @p278 :rule reordering :premises (@p277) :args ((or @t195 @t173 @t194 (not @t196)))) % 68.32/68.58 (step @p279 :rule chain_m_resolution :premises (@p278 @p8 @p195 @p276) :args (@t194 @t197 (@list @t1 @t160 @t196))) % 68.32/68.58 (step @p280 :rule cnf_or_pos :args (@t201)) % 68.32/68.58 (step @p281 :rule reordering :premises (@p280) :args ((or @t199 @t200 @t198 (not @t201)))) % 68.32/68.58 (step @p282 :rule chain_m_resolution :premises (@p281 @p197 @p279 @p275) :args (@t198 @t197 (@list @t162 @t194 @t201))) % 68.32/68.58 (step @p283 :rule cnf_or_pos :args (@t205)) % 68.32/68.58 (step @p284 :rule reordering :premises (@p283) :args ((or @t204 @t203 @t202 (not @t205)))) % 68.32/68.58 (step @p285 :rule chain_m_resolution :premises (@p284 @p198 @p282 @p274) :args (@t202 @t197 (@list @t163 @t198 @t205))) % 68.32/68.58 (step @p286 :rule instantiate :premises (@p84) :args ((@list tptp.sk8 tptp.nil))) % 68.32/68.58 (step @p287 :rule cnf_or_pos :args (@t207)) % 68.32/68.58 (step @p288 :rule reordering :premises (@p287) :args ((or @t195 @t177 @t206 (not @t207)))) % 68.32/68.58 (step @p289 :rule chain_m_resolution :premises (@p288 @p8 @p196 @p286) :args (@t206 @t197 (@list @t1 @t161 @t207))) % 68.32/68.58 (step @p290 :rule cnf_or_pos :args (@t213)) % 68.32/68.58 (step @p291 :rule reordering :premises (@p290) :args ((or @t212 @t211 @t210 @t209 (not @t213)))) % 68.32/68.58 (step @p292 :rule chain_m_resolution :premises (@p291 @p199 @p289 @p285 @p273) :args (@t209 @t214 (@list @t164 @t206 @t202 @t213))) % 68.32/68.58 (step @p293 :rule symm :premises (@p292)) % 68.32/68.58 (step @p294 :rule eq-symm :args (@t91 @t63)) % 68.32/68.58 (step @p295 :rule refl :args (@t62)) % 68.32/68.58 (step @p296 :rule nary_cong :premises (@p214 @p295 @p294) :args (@t92)) % 68.32/68.58 (step @p297 :rule cong :premises (@p296) :args (@t93)) % 68.32/68.58 (step @p298 :rule eq_resolve :premises (@p118 @p297)) % 68.32/68.58 (step @p299 :rule eq-symm :args (@t215 @t208)) % 68.32/68.58 (step @p300 :rule refl :args (@t212)) % 68.32/68.58 (step @p301 :rule nary_cong :premises (@p222 @p300 @p299) :args (@t216)) % 68.32/68.58 (step @p302 :rule refl :args (@t217)) % 68.32/68.58 (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t217 @t216))) % 68.32/68.58 (assume-push @p380 @t217) % 68.32/68.58 (step @p305 :rule instantiate :premises (@p298) :args ((@list tptp.sk8 tptp.sk11))) % 68.32/68.58 (step-pop @p381 :rule scope :premises (@p305)) % 68.32/68.58 (step @p306 :rule process_scope :premises (@p381) :args (@t216)) % 68.32/68.58 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 68.32/68.58 (step @p309 :rule implies_elim :premises (@p308)) % 68.32/68.58 (step @p310 :rule chain_m_resolution :premises (@p309 @p298) :args (@t219 @t183 @t220)) % 68.32/68.58 (step @p311 :rule cnf_or_pos :args (@t219)) % 68.32/68.58 (step @p312 :rule reordering :premises (@p311) :args ((or @t177 @t212 @t218 (not @t219)))) % 68.32/68.58 (step @p313 :rule chain_m_resolution :premises (@p312 @p196 @p199 @p310) :args (@t218 @t197 (@list @t161 @t164 @t219))) % 68.32/68.58 (step @p314 :rule symm :premises (@p313)) % 68.32/68.58 (step @p315 :rule instantiate :premises (@p146) :args ((@list tptp.sk10 @t166 tptp.sk9))) % 68.32/68.58 (step @p316 :rule cnf_or_pos :args (@t223)) % 68.32/68.58 (step @p317 :rule reordering :premises (@p316) :args ((or @t199 @t204 @t200 @t222 (not @t223)))) % 68.32/68.58 (step @p318 :rule chain_m_resolution :premises (@p317 @p197 @p198 @p279 @p315) :args (@t222 @t214 (@list @t162 @t163 @t194 @t223))) % 68.32/68.58 (step @p319 :rule symm :premises (@p318)) % 68.32/68.58 (step @p320 :rule refl :args (@t221)) % 68.32/68.58 (step @p321 :rule eq-symm :args (@t51 @t2)) % 68.32/68.58 (step @p322 :rule nary_cong :premises (@p241 @p321) :args (@t52)) % 68.32/68.58 (step @p323 :rule cong :premises (@p322) :args (@t53)) % 68.32/68.58 (step @p324 :rule eq_resolve :premises (@p74 @p323)) % 68.32/68.58 (step @p325 :rule instantiate :premises (@p324) :args ((@list tptp.sk9))) % 68.32/68.58 (step @p326 :rule cnf_or_pos :args (@t226)) % 68.32/68.58 (step @p327 :rule reordering :premises (@p326) :args ((or @t199 @t225 (not @t226)))) % 68.32/68.58 (step @p328 :rule chain_m_resolution :premises (@p327 @p197 @p325) :args (@t225 @t176 (@list @t162 @t226))) % 68.32/68.58 (step @p329 :rule symm :premises (@p328)) % 68.32/68.58 (step @p330 :rule cong :premises (@p329 @p320) :args ((tptp.app @t224 @t221))) % 68.32/68.58 (step @p331 :rule eq-symm :args (@t227 @t221)) % 68.32/68.58 (step @p332 :rule refl :args (@t204)) % 68.32/68.58 (step @p333 :rule nary_cong :premises (@p221 @p332 @p331) :args (@t228)) % 68.32/68.58 (step @p334 :rule cong :premises (@p302 @p333) :args ((=> @t217 @t228))) % 68.32/68.58 (assume-push @p382 @t217) % 68.32/68.58 (step @p336 :rule instantiate :premises (@p298) :args ((@list tptp.sk7 tptp.sk10))) % 68.32/68.58 (step-pop @p383 :rule scope :premises (@p336)) % 68.32/68.58 (step @p337 :rule process_scope :premises (@p383) :args (@t228)) % 68.32/68.58 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 68.32/68.58 (step @p340 :rule implies_elim :premises (@p339)) % 68.32/68.58 (step @p341 :rule chain_m_resolution :premises (@p340 @p298) :args (@t230 @t183 @t220)) % 68.32/68.58 (step @p342 :rule cnf_or_pos :args (@t230)) % 68.32/68.58 (step @p343 :rule reordering :premises (@p342) :args ((or @t173 @t204 @t229 (not @t230)))) % 68.32/68.58 (step @p344 :rule chain_m_resolution :premises (@p343 @p195 @p198 @p341) :args (@t229 @t197 (@list @t160 @t163 @t230))) % 68.32/68.58 (step @p345 :rule symm :premises (@p344)) % 68.32/68.58 (step @p346 :rule cong :premises (@p328 @p345) :args (@t231)) % 68.32/68.58 (step @p347 :rule trans :premises (@p346 @p330 @p319)) % 68.32/68.58 (step @p348 :rule cong :premises (@p347 @p314) :args (@t232)) % 68.32/68.58 (step @p349 :rule trans :premises (@p348 @p293)) % 68.32/68.58 (step @p350 :rule cong :premises (@p349) :args (@t233)) % 68.32/68.58 (step @p351 :rule trans :premises (@p350 @p272)) % 68.32/68.58 (step @p352 :rule true_elim :premises (@p351)) % 68.32/68.58 (step @p353 :rule refl :args (@t169)) % 68.32/68.58 (step @p354 :rule cong :premises (@p188 @p353) :args ((= tptp.sk1 @t169))) % 68.32/68.58 (step @p355 :rule eq_resolve :premises (@p269 @p354)) % 68.32/68.58 (step @p356 :rule cong :premises (@p355) :args (@t148)) % 68.32/68.58 (step @p357 :rule eq_resolve :premises (@p192 @p356)) % 68.32/68.58 (step @p358 :rule true_intro :premises (@p357)) % 68.32/68.58 (step @p359 :rule cong :premises (@p349) :args (@t234)) % 68.32/68.58 (step @p360 :rule trans :premises (@p359 @p358)) % 68.32/68.58 (step @p361 :rule true_elim :premises (@p360)) % 68.32/68.58 (step @p362 :rule cnf_or_pos :args (@t238)) % 68.32/68.58 (step @p363 :rule reordering :premises (@p362) :args ((or @t173 @t177 @t199 @t204 @t212 @t235 @t237 @t236 (not @t238)))) % 68.32/68.58 (step @p364 :rule chain_m_resolution :premises (@p363 @p195 @p196 @p197 @p198 @p199 @p361 @p352 @p268) :args (@t235 (@list false false false false false false false false) (@list @t160 @t161 @t162 @t163 @t164 @t234 @t233 @t238))) % 68.32/68.58 (step @p365 :rule cnf_or_pos :args (@t240)) % 68.32/68.58 (step @p366 :rule reordering :premises (@p365) :args ((or @t171 @t173 @t177 @t239 (not @t240)))) % 68.32/68.58 (step @p367 :rule chain_m_resolution :premises (@p366 @p195 @p196 @p364 @p235) :args (@t171 @t214 (@list @t160 @t161 @t235 @t240))) % 68.32/68.58 (step @p368 :rule cnf_or_pos :args (@t182)) % 68.32/68.58 (step @p369 :rule reordering :premises (@p368) :args ((or @t172 @t173 @t177 @t178 @t181 (not @t182)))) % 68.32/68.58 (step @p370 :rule chain_m_resolution :premises (@p369 @p367 @p195 @p196 @p201 @p234) :args (@t181 (@list false false false false false) (@list @t171 @t160 @t161 @t170 @t182))) % 68.32/68.58 (step @p371 :rule symm :premises (@p370)) % 68.32/68.58 (step @p372 :rule refl :args (tptp.sk7)) % 68.32/68.58 (step @p373 :rule cong :premises (@p372 @p371) :args (@t235)) % 68.32/68.58 (step @p374 :rule true_intro :premises (@p364)) % 68.32/68.58 (step @p375 :rule symm :premises (@p374)) % 68.32/68.58 (step @p376 :rule trans :premises (@p375 @p373 @p211)) % 68.32/68.58 (step @p377 false :rule eq_resolve :premises (@p376 @p206)) % 68.32/68.58 ) % 68.32/68.59 % SZS output end Proof % 68.32/68.59 % cvc5 exiting %------------------------------------------------------------------------------