%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC233-1 : 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 : n016.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 08:58:33 AM UTC 2026 % Result : Unsatisfiable 68.44s 68.68s % Output : Proof 63.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC233-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 19:28:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 21.62/21.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.63/27.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/34.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/64.14 --- Run --trigger-sel=max --full-saturate-quant at 15... % 68.44/68.68 % SZS status Unsatisfiable % 68.44/68.68 % SZS output start Proof % 68.44/68.69 ( % 68.44/68.69 (declare-sort $$unsorted 0) % 68.44/68.69 (declare-const tptp.sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.sk4 $$unsorted) % 68.44/68.69 (declare-const tptp.sk2 $$unsorted) % 68.44/68.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.nil $$unsorted) % 68.44/68.69 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.sk1 $$unsorted) % 68.44/68.69 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skac2 $$unsorted) % 68.44/68.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.sk3 $$unsorted) % 68.44/68.69 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skac3 $$unsorted) % 68.44/68.69 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 68.44/68.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 68.44/68.69 (define @t1 () (tptp.ssList tptp.nil)) % 68.44/68.69 (define @t2 () (tptp.ssItem tptp.skac2)) % 68.44/68.69 (define @t3 () (@var "U" $$unsorted)) % 68.44/68.69 (define @t4 () (tptp.skaf83 @t3)) % 68.44/68.69 (define @t5 () (@list @t3)) % 68.44/68.69 (define @t6 () (tptp.skaf82 @t3)) % 68.44/68.69 (define @t7 () (tptp.skaf81 @t3)) % 68.44/68.69 (define @t8 () (tptp.skaf80 @t3)) % 68.44/68.69 (define @t9 () (tptp.skaf79 @t3)) % 68.44/68.69 (define @t10 () (tptp.skaf78 @t3)) % 68.44/68.69 (define @t11 () (tptp.skaf77 @t3)) % 68.44/68.69 (define @t12 () (tptp.skaf76 @t3)) % 68.44/68.69 (define @t13 () (tptp.skaf75 @t3)) % 68.44/68.69 (define @t14 () (tptp.skaf74 @t3)) % 68.44/68.69 (define @t15 () (tptp.skaf73 @t3)) % 68.44/68.69 (define @t16 () (tptp.skaf72 @t3)) % 68.44/68.69 (define @t17 () (tptp.skaf71 @t3)) % 68.44/68.69 (define @t18 () (tptp.skaf70 @t3)) % 68.44/68.69 (define @t19 () (tptp.skaf69 @t3)) % 68.44/68.69 (define @t20 () (tptp.skaf68 @t3)) % 68.44/68.69 (define @t21 () (tptp.skaf67 @t3)) % 68.44/68.69 (define @t22 () (tptp.skaf66 @t3)) % 68.44/68.69 (define @t23 () (tptp.skaf65 @t3)) % 68.44/68.69 (define @t24 () (tptp.skaf64 @t3)) % 68.44/68.69 (define @t25 () (tptp.skaf63 @t3)) % 68.44/68.69 (define @t26 () (tptp.skaf62 @t3)) % 68.44/68.69 (define @t27 () (tptp.skaf61 @t3)) % 68.44/68.69 (define @t28 () (tptp.skaf60 @t3)) % 68.44/68.69 (define @t29 () (tptp.skaf59 @t3)) % 68.44/68.69 (define @t30 () (tptp.skaf58 @t3)) % 68.44/68.69 (define @t31 () (tptp.skaf57 @t3)) % 68.44/68.69 (define @t32 () (tptp.skaf56 @t3)) % 68.44/68.70 (define @t33 () (tptp.skaf55 @t3)) % 68.44/68.70 (define @t34 () (tptp.skaf54 @t3)) % 68.44/68.70 (define @t35 () (tptp.skaf53 @t3)) % 68.44/68.70 (define @t36 () (tptp.skaf52 @t3)) % 68.44/68.70 (define @t37 () (tptp.skaf51 @t3)) % 68.44/68.70 (define @t38 () (tptp.skaf50 @t3)) % 68.44/68.70 (define @t39 () (tptp.skaf49 @t3)) % 68.44/68.70 (define @t40 () (tptp.skaf44 @t3)) % 68.44/68.70 (define @t41 () (@var "V" $$unsorted)) % 68.44/68.70 (define @t42 () (@list @t3 @t41)) % 68.44/68.70 (define @t43 () (tptp.skaf47 @t3 @t41)) % 68.44/68.70 (define @t44 () (tptp.skaf46 @t3 @t41)) % 68.44/68.70 (define @t45 () (tptp.skaf45 @t3 @t41)) % 68.44/68.70 (define @t46 () (tptp.skaf42 @t3 @t41)) % 68.44/68.70 (define @t47 () (not (tptp.ssItem @t3))) % 68.44/68.70 (define @t48 () (not (tptp.ssList @t3))) % 68.44/68.70 (define @t49 () (tptp.cons @t3 tptp.nil)) % 68.44/68.70 (define @t50 () (tptp.ssItem @t41)) % 68.44/68.70 (define @t51 () (tptp.duplicatefreeP @t3)) % 68.44/68.70 (define @t52 () (tptp.app tptp.nil @t3)) % 68.44/68.70 (define @t53 () (or @t48 (= @t52 @t3))) % 68.44/68.70 (define @t54 () (forall @t5 @t53)) % 68.44/68.70 (define @t55 () (= tptp.nil @t3)) % 68.44/68.70 (define @t56 () (tptp.tl @t3)) % 68.44/68.70 (define @t57 () (tptp.hd @t3)) % 68.44/68.70 (define @t58 () (tptp.segmentP tptp.nil @t3)) % 68.44/68.70 (define @t59 () (not @t55)) % 68.44/68.70 (define @t60 () (tptp.rearsegP tptp.nil @t3)) % 68.44/68.70 (define @t61 () (tptp.frontsegP tptp.nil @t3)) % 68.44/68.70 (define @t62 () (tptp.app @t41 @t3)) % 68.44/68.70 (define @t63 () (not (tptp.ssList @t41))) % 68.44/68.70 (define @t64 () (tptp.cons @t3 @t41)) % 68.44/68.70 (define @t65 () (tptp.cyclefreeP @t3)) % 68.44/68.70 (define @t66 () (tptp.equalelemsP @t3)) % 68.44/68.70 (define @t67 () (tptp.strictorderedP @t3)) % 68.44/68.70 (define @t68 () (tptp.totalorderedP @t3)) % 68.44/68.70 (define @t69 () (tptp.strictorderP @t3)) % 68.44/68.70 (define @t70 () (tptp.totalorderP @t3)) % 68.44/68.70 (define @t71 () (tptp.tl @t64)) % 68.44/68.70 (define @t72 () (or @t47 @t63 (= @t71 @t41))) % 68.44/68.70 (define @t73 () (forall @t42 @t72)) % 68.44/68.70 (define @t74 () (tptp.hd @t64)) % 68.44/68.70 (define @t75 () (or @t47 @t63 (= @t74 @t3))) % 68.44/68.70 (define @t76 () (forall @t42 @t75)) % 68.44/68.70 (define @t77 () (not (= @t64 tptp.nil))) % 68.44/68.70 (define @t78 () (or @t77 @t47 @t63)) % 68.44/68.70 (define @t79 () (forall @t42 @t78)) % 68.44/68.70 (define @t80 () (= @t41 @t3)) % 68.44/68.70 (define @t81 () (tptp.neq @t41 @t3)) % 68.44/68.70 (define @t82 () (not @t50)) % 68.44/68.70 (define @t83 () (tptp.leq @t3 @t41)) % 68.44/68.70 (define @t84 () (tptp.lt @t3 @t41)) % 68.44/68.70 (define @t85 () (not @t84)) % 68.44/68.70 (define @t86 () (tptp.lt @t41 @t3)) % 68.44/68.70 (define @t87 () (not (tptp.gt @t3 @t41))) % 68.44/68.70 (define @t88 () (tptp.gt @t41 @t3)) % 68.44/68.70 (define @t89 () (tptp.leq @t41 @t3)) % 68.44/68.70 (define @t90 () (not (tptp.geq @t3 @t41))) % 68.44/68.70 (define @t91 () (tptp.geq @t41 @t3)) % 68.44/68.70 (define @t92 () (not @t83)) % 68.44/68.70 (define @t93 () (tptp.cons @t4 @t6)) % 68.44/68.70 (define @t94 () (or @t48 (= @t93 @t3) @t55)) % 68.44/68.70 (define @t95 () (forall @t5 @t94)) % 68.44/68.70 (define @t96 () (= @t3 @t41)) % 68.44/68.70 (define @t97 () (not @t96)) % 68.44/68.70 (define @t98 () (tptp.cons @t41 @t3)) % 68.44/68.70 (define @t99 () (not (tptp.neq @t3 @t41))) % 68.44/68.70 (define @t100 () (tptp.app @t3 @t41)) % 68.44/68.70 (define @t101 () (= @t100 tptp.nil)) % 68.44/68.70 (define @t102 () (not @t101)) % 68.44/68.70 (define @t103 () (= tptp.nil @t41)) % 68.44/68.70 (define @t104 () (tptp.app @t49 @t41)) % 68.44/68.70 (define @t105 () (or @t47 @t63 (= @t104 @t64))) % 68.44/68.70 (define @t106 () (forall @t42 @t105)) % 68.44/68.70 (define @t107 () (tptp.hd @t41)) % 68.44/68.70 (define @t108 () (tptp.strictorderedP @t41)) % 68.44/68.70 (define @t109 () (tptp.strictorderedP @t64)) % 68.44/68.70 (define @t110 () (not @t109)) % 68.44/68.70 (define @t111 () (tptp.totalorderedP @t41)) % 68.44/68.70 (define @t112 () (tptp.totalorderedP @t64)) % 68.44/68.70 (define @t113 () (not @t112)) % 68.44/68.70 (define @t114 () (not (tptp.segmentP @t3 @t41))) % 68.44/68.70 (define @t115 () (not (tptp.rearsegP @t3 @t41))) % 68.44/68.70 (define @t116 () (not (tptp.frontsegP @t3 @t41))) % 68.44/68.70 (define @t117 () (not @t89)) % 68.44/68.70 (define @t118 () (tptp.tl @t41)) % 68.44/68.70 (define @t119 () (tptp.lt @t3 @t107)) % 68.44/68.70 (define @t120 () (tptp.leq @t3 @t107)) % 68.44/68.70 (define @t121 () (@var "W" $$unsorted)) % 68.44/68.70 (define @t122 () (tptp.app @t121 @t3)) % 68.44/68.70 (define @t123 () (not (tptp.ssList @t121))) % 68.44/68.70 (define @t124 () (@list @t3 @t41 @t121)) % 68.44/68.70 (define @t125 () (tptp.app @t3 @t121)) % 68.44/68.70 (define @t126 () (tptp.cons @t41 @t121)) % 68.44/68.70 (define @t127 () (tptp.cons @t121 @t3)) % 68.44/68.70 (define @t128 () (not (tptp.ssItem @t121))) % 68.44/68.70 (define @t129 () (not (tptp.memberP @t3 @t41))) % 68.44/68.70 (define @t130 () (not (= @t100 @t121))) % 68.44/68.70 (define @t131 () (tptp.lt @t3 @t121)) % 68.44/68.70 (define @t132 () (not (tptp.lt @t41 @t121))) % 68.44/68.70 (define @t133 () (tptp.app @t121 @t41)) % 68.44/68.70 (define @t134 () (= @t41 @t121)) % 68.44/68.70 (define @t135 () (= @t3 @t121)) % 68.44/68.70 (define @t136 () (tptp.memberP @t41 @t121)) % 68.44/68.70 (define @t137 () (@var "X" $$unsorted)) % 68.44/68.70 (define @t138 () (not (tptp.ssList @t137))) % 68.44/68.70 (define @t139 () (tptp.cons @t121 @t137)) % 68.44/68.70 (define @t140 () (not (= @t64 @t139))) % 68.44/68.70 (define @t141 () (@list @t3 @t41 @t121 @t137)) % 68.44/68.70 (define @t142 () (or @t140 @t128 @t47 @t138 @t63 (= @t137 @t41))) % 68.44/68.70 (define @t143 () (forall @t141 @t142)) % 68.44/68.70 (define @t144 () (not (tptp.frontsegP @t64 @t139))) % 68.44/68.70 (define @t145 () (tptp.app @t3 @t126)) % 68.44/68.70 (define @t146 () (not (tptp.ssItem @t137))) % 68.44/68.70 (define @t147 () (@var "Y" $$unsorted)) % 68.44/68.70 (define @t148 () (not (tptp.ssList @t147))) % 68.44/68.70 (define @t149 () (@list @t3 @t41 @t121 @t137 @t147)) % 68.44/68.70 (define @t150 () (tptp.lt @t41 @t137)) % 68.44/68.70 (define @t151 () (@var "Z" $$unsorted)) % 68.44/68.70 (define @t152 () (not (tptp.ssList @t151))) % 68.44/68.70 (define @t153 () (not (= (tptp.app @t145 (tptp.cons @t137 @t147)) @t151))) % 68.44/68.70 (define @t154 () (@list @t3 @t41 @t121 @t137 @t147 @t151)) % 68.44/68.70 (define @t155 () (tptp.leq @t41 @t137)) % 68.44/68.70 (define @t156 () (tptp.ssList tptp.sk3)) % 68.44/68.70 (define @t157 () (= tptp.nil tptp.sk1)) % 68.44/68.70 (define @t158 () (not @t157)) % 68.44/68.70 (define @t159 () (@var "A" $$unsorted)) % 68.44/68.70 (define @t160 () (@var "B" $$unsorted)) % 68.44/68.70 (define @t161 () (@var "C" $$unsorted)) % 68.44/68.70 (define @t162 () (tptp.sk5 @t161 @t160 @t159)) % 68.44/68.70 (define @t163 () (tptp.ssItem @t162)) % 68.44/68.70 (define @t164 () (tptp.app (tptp.app @t160 (tptp.cons @t159 tptp.nil)) @t161)) % 68.44/68.70 (define @t165 () (not (= @t164 tptp.sk1))) % 68.44/68.70 (define @t166 () (not (tptp.ssList @t161))) % 68.44/68.70 (define @t167 () (not (tptp.ssList @t160))) % 68.44/68.70 (define @t168 () (not (tptp.ssItem @t159))) % 68.44/68.70 (define @t169 () (or @t168 @t167 @t166 @t165 @t163)) % 68.44/68.70 (define @t170 () (@list @t159 @t160 @t161)) % 68.44/68.70 (define @t171 () (forall @t170 @t169)) % 68.44/68.70 (define @t172 () (tptp.memberP @t161 @t162)) % 68.44/68.70 (define @t173 () (or @t168 @t167 @t166 @t165 @t172)) % 68.44/68.70 (define @t174 () (forall @t170 @t173)) % 68.44/68.70 (define @t175 () (not (tptp.lt @t159 @t162))) % 68.44/68.70 (define @t176 () (or @t168 @t167 @t166 @t165 @t175)) % 68.44/68.70 (define @t177 () (forall @t170 @t176)) % 68.44/68.70 (define @t178 () (@var "D" $$unsorted)) % 68.44/68.70 (define @t179 () (not (tptp.memberP @t161 @t178))) % 68.44/68.70 (define @t180 () (tptp.lt @t159 @t178)) % 68.44/68.70 (define @t181 () (not (tptp.ssItem @t178))) % 68.44/68.70 (define @t182 () (not (= @t164 tptp.sk3))) % 68.44/68.70 (define @t183 () (or @t168 @t167 @t166 @t182 @t181 @t180 @t179)) % 68.44/68.70 (define @t184 () (@list @t159 @t160 @t161 @t178)) % 68.44/68.70 (define @t185 () (forall @t184 @t183)) % 68.44/68.70 (define @t186 () (tptp.hd tptp.sk3)) % 68.44/68.70 (define @t187 () (tptp.cons tptp.skac2 tptp.nil)) % 68.44/68.70 (define @t188 () (tptp.skaf82 @t187)) % 68.44/68.70 (define @t189 () (tptp.skaf82 tptp.sk3)) % 68.44/68.70 (define @t190 () (tptp.sk5 @t189 @t188 @t186)) % 68.44/68.70 (define @t191 () (tptp.tl tptp.sk3)) % 68.44/68.70 (define @t192 () (= tptp.sk1 @t164)) % 68.44/68.70 (define @t193 () (not @t192)) % 68.44/68.70 (define @t194 () (or @t168 @t167 @t166 @t193 @t163)) % 68.44/68.70 (define @t195 () (@list @t186 @t188 @t189)) % 68.44/68.70 (define @t196 () (tptp.cons @t186 tptp.nil)) % 68.44/68.70 (define @t197 () (tptp.skaf83 @t187)) % 68.44/68.70 (define @t198 () (@list @t187)) % 68.44/68.70 (define @t199 () (@list tptp.skac2 tptp.nil)) % 68.44/68.70 (define @t200 () (not @t1)) % 68.44/68.70 (define @t201 () (not @t2)) % 68.44/68.70 (define @t202 () (= tptp.nil @t187)) % 68.44/68.70 (define @t203 () (not @t202)) % 68.44/68.70 (define @t204 () (or @t203 @t201 @t200)) % 68.44/68.70 (define @t205 () (@list false false false)) % 68.44/68.70 (define @t206 () (tptp.ssList @t187)) % 68.44/68.70 (define @t207 () (or @t201 @t200 @t206)) % 68.44/68.70 (define @t208 () (= @t187 (tptp.cons @t197 @t188))) % 68.44/68.70 (define @t209 () (not @t206)) % 68.44/68.70 (define @t210 () (or @t209 @t208 @t202)) % 68.44/68.70 (define @t211 () (= tptp.nil @t188)) % 68.44/68.70 (define @t212 () (tptp.ssList @t188)) % 68.44/68.70 (define @t213 () (not @t212)) % 68.44/68.70 (define @t214 () (tptp.ssItem @t197)) % 68.44/68.70 (define @t215 () (not @t214)) % 68.44/68.70 (define @t216 () (not @t208)) % 68.44/68.70 (define @t217 () (or @t216 @t215 @t201 @t213 @t200 @t211)) % 68.44/68.70 (define @t218 () (tptp.app tptp.nil @t196)) % 68.44/68.70 (define @t219 () (@list tptp.sk3)) % 68.44/68.70 (define @t220 () (= tptp.nil tptp.sk3)) % 68.44/68.70 (define @t221 () (tptp.ssItem @t186)) % 68.44/68.70 (define @t222 () (not @t156)) % 68.44/68.70 (define @t223 () (or @t222 @t221 @t220)) % 68.44/68.70 (define @t224 () (@list true false false)) % 68.44/68.70 (define @t225 () (tptp.ssList @t196)) % 68.44/68.70 (define @t226 () (not @t221)) % 68.44/68.70 (define @t227 () (or @t226 @t200 @t225)) % 68.44/68.70 (define @t228 () (= @t196 @t218)) % 68.44/68.70 (define @t229 () (not @t225)) % 68.44/68.70 (define @t230 () (or @t229 @t228)) % 68.44/68.70 (define @t231 () (tptp.skaf83 tptp.sk3)) % 68.44/68.70 (define @t232 () (tptp.cons @t231 @t189)) % 68.44/68.70 (define @t233 () (= tptp.sk3 @t232)) % 68.44/68.70 (define @t234 () (or @t222 @t233 @t220)) % 68.44/68.70 (define @t235 () (tptp.hd @t232)) % 68.44/68.70 (define @t236 () (@list @t231 @t189)) % 68.44/68.70 (define @t237 () (= @t231 @t235)) % 68.44/68.70 (define @t238 () (tptp.ssList @t189)) % 68.44/68.70 (define @t239 () (not @t238)) % 68.44/68.70 (define @t240 () (tptp.ssItem @t231)) % 68.44/68.70 (define @t241 () (not @t240)) % 68.44/68.70 (define @t242 () (or @t241 @t239 @t237)) % 68.44/68.70 (define @t243 () (tptp.cons @t231 tptp.nil)) % 68.44/68.70 (define @t244 () (tptp.app @t243 @t189)) % 68.44/68.70 (define @t245 () (= @t232 @t244)) % 68.44/68.70 (define @t246 () (or @t241 @t239 @t245)) % 68.44/68.70 (define @t247 () (tptp.ssItem @t190)) % 68.44/68.70 (define @t248 () (= tptp.sk3 (tptp.app (tptp.app @t188 @t196) @t189))) % 68.44/68.70 (define @t249 () (not @t248)) % 68.44/68.70 (define @t250 () (or @t226 @t213 @t239 @t249 @t247)) % 68.44/68.70 (define @t251 () (@list false false false false false)) % 68.44/68.70 (define @t252 () (or @t168 @t167 @t166 @t193 @t175)) % 68.44/68.70 (define @t253 () (tptp.lt @t186 @t190)) % 68.44/68.70 (define @t254 () (not @t253)) % 68.44/68.70 (define @t255 () (or @t226 @t213 @t239 @t249 @t254)) % 68.44/68.70 (define @t256 () (tptp.tl @t232)) % 68.44/68.70 (define @t257 () (= @t189 @t256)) % 68.44/68.70 (define @t258 () (or @t241 @t239 @t257)) % 68.44/68.70 (define @t259 () (tptp.ssList @t191)) % 68.44/68.70 (define @t260 () (not (tptp.memberP @t191 @t190))) % 68.44/68.70 (define @t261 () (not @t247)) % 68.44/68.70 (define @t262 () (= tptp.sk3 (tptp.app @t218 @t191))) % 68.44/68.70 (define @t263 () (not @t262)) % 68.44/68.70 (define @t264 () (not @t259)) % 68.44/68.70 (define @t265 () (or @t226 @t200 @t264 @t263 @t261 @t253 @t260)) % 68.44/68.70 (define @t266 () (tptp.memberP @t189 @t190)) % 68.44/68.70 (define @t267 () (or @t168 @t167 @t166 @t193 @t172)) % 68.44/68.70 (define @t268 () (or @t226 @t213 @t239 @t249 @t266)) % 68.44/68.70 (assume @p1 (tptp.equalelemsP tptp.nil)) % 68.44/68.70 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 68.44/68.70 (assume @p3 (tptp.strictorderedP tptp.nil)) % 68.44/68.70 (assume @p4 (tptp.totalorderedP tptp.nil)) % 68.44/68.70 (assume @p5 (tptp.strictorderP tptp.nil)) % 68.44/68.70 (assume @p6 (tptp.totalorderP tptp.nil)) % 68.44/68.70 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 68.44/68.70 (assume @p8 @t1) % 68.44/68.70 (assume @p9 (tptp.ssItem tptp.skac3)) % 68.44/68.70 (assume @p10 @t2) % 68.44/68.70 (assume @p11 (not (tptp.singletonP tptp.nil))) % 68.44/68.70 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 68.44/68.70 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 68.44/68.70 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 68.44/68.70 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 68.44/68.70 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 68.44/68.70 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 68.44/68.70 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 68.44/68.70 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 68.44/68.70 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 68.44/68.70 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 68.44/68.70 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 68.44/68.70 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 68.44/68.70 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 68.44/68.70 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 68.44/68.70 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 68.44/68.70 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 68.44/68.70 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 68.44/68.70 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 68.44/68.70 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 68.44/68.70 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 68.44/68.70 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 68.44/68.70 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 68.44/68.70 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 68.44/68.70 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 68.44/68.70 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 68.44/68.70 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 68.44/68.70 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 68.44/68.70 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 68.44/68.70 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 68.44/68.70 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 68.44/68.70 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 68.44/68.70 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 68.44/68.70 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 68.44/68.70 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 68.44/68.70 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 68.44/68.70 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 68.44/68.70 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 68.44/68.70 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 68.44/68.70 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 68.44/68.70 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 68.44/68.70 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 68.44/68.70 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 68.44/68.70 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 68.44/68.70 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 68.44/68.70 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 68.44/68.70 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 68.44/68.70 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 68.44/68.70 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 68.44/68.70 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 68.44/68.70 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 68.44/68.70 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 68.44/68.70 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 68.44/68.70 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 68.44/68.70 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 68.44/68.70 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 68.44/68.70 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 68.44/68.70 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 68.44/68.70 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 68.44/68.70 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 68.44/68.70 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 68.44/68.70 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 68.44/68.70 (assume @p73 (forall @t5 (or @t48 (= (tptp.app @t3 tptp.nil) @t3)))) % 68.44/68.70 (assume @p74 @t54) % 68.44/68.70 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t56) @t55))) % 68.44/68.70 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t57) @t55))) % 68.44/68.70 (assume @p77 (forall @t5 (or @t59 @t48 @t58))) % 68.44/68.70 (assume @p78 (forall @t5 (or (not @t58) @t48 @t55))) % 68.44/68.70 (assume @p79 (forall @t5 (or @t59 @t48 @t60))) % 68.44/68.70 (assume @p80 (forall @t5 (or (not @t60) @t48 @t55))) % 68.44/68.70 (assume @p81 (forall @t5 (or @t59 @t48 @t61))) % 68.44/68.70 (assume @p82 (forall @t5 (or (not @t61) @t48 @t55))) % 68.44/68.70 (assume @p83 (forall @t42 (or @t48 @t63 (tptp.ssList @t62)))) % 68.44/68.70 (assume @p84 (forall @t42 (or @t47 @t63 (tptp.ssList @t64)))) % 68.44/68.70 (assume @p85 (forall @t5 (or @t48 @t65 (tptp.leq @t38 @t39)))) % 68.44/68.70 (assume @p86 (forall @t5 (or @t48 @t65 (tptp.leq @t39 @t38)))) % 68.44/68.70 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t66))) % 68.44/68.70 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t67))) % 68.44/68.70 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t68))) % 68.44/68.70 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t69))) % 68.44/68.70 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t69))) % 68.44/68.70 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t70))) % 68.44/68.70 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t70))) % 68.44/68.70 (assume @p94 @t73) % 68.44/68.70 (assume @p95 @t76) % 68.44/68.70 (assume @p96 @t79) % 68.44/68.70 (assume @p97 (forall @t42 (or (not (= @t64 @t41)) @t47 @t63))) % 68.44/68.70 (assume @p98 (forall @t42 (or @t48 @t63 @t81 @t80))) % 68.44/68.70 (assume @p99 (forall @t5 (or (not (tptp.singletonP @t3)) @t48 (= (tptp.cons @t40 tptp.nil) @t3)))) % 68.44/68.70 (assume @p100 (forall @t42 (or @t47 @t82 @t81 @t80))) % 68.44/68.70 (assume @p101 (forall @t42 (or @t85 @t82 @t47 @t83))) % 68.44/68.70 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t57 @t56) @t3) @t55))) % 68.44/68.70 (assume @p103 (forall @t42 (or @t87 @t82 @t47 @t86))) % 68.44/68.70 (assume @p104 (forall @t42 (or @t85 @t47 @t82 @t88))) % 68.44/68.70 (assume @p105 (forall @t42 (or @t90 @t82 @t47 @t89))) % 68.44/68.70 (assume @p106 (forall @t42 (or @t92 @t47 @t82 @t91))) % 68.44/68.70 (assume @p107 @t95) % 68.44/68.70 (assume @p108 (forall @t42 (or @t87 (not @t88) @t47 @t82))) % 68.44/68.70 (assume @p109 (forall @t42 (or @t97 @t85 @t82 @t47))) % 68.44/68.70 (assume @p110 (forall @t42 (or @t59 @t48 @t82 (tptp.strictorderedP @t98)))) % 68.44/68.70 (assume @p111 (forall @t42 (or @t59 @t48 @t82 (tptp.totalorderedP @t98)))) % 68.44/68.70 (assume @p112 (forall @t42 (or @t85 (not @t86) @t47 @t82))) % 68.44/68.70 (assume @p113 (forall @t42 (or @t97 @t99 @t63 @t48))) % 68.44/68.70 (assume @p114 (forall @t42 (or (not (= @t49 @t41)) @t47 @t63 (tptp.singletonP @t41)))) % 68.44/68.70 (assume @p115 (forall @t42 (or @t97 @t99 @t82 @t47))) % 68.44/68.70 (assume @p116 (forall @t42 (or @t102 @t63 @t48 @t55))) % 68.44/68.70 (assume @p117 (forall @t42 (or @t102 @t63 @t48 @t103))) % 68.44/68.70 (assume @p118 @t106) % 68.44/68.70 (assume @p119 (forall @t42 (or @t92 @t82 @t47 @t84 @t96))) % 68.44/68.70 (assume @p120 (forall @t42 (or @t48 @t63 @t103 (= (tptp.hd @t62) @t107)))) % 68.44/68.70 (assume @p121 (forall @t42 (or @t110 @t63 @t47 @t108 @t103))) % 68.44/68.70 (assume @p122 (forall @t42 (or @t113 @t63 @t47 @t111 @t103))) % 68.44/68.70 (assume @p123 (forall @t42 (or @t90 (not @t91) @t47 @t82 @t80))) % 68.44/68.70 (assume @p124 (forall @t42 (or @t114 (not (tptp.segmentP @t41 @t3)) @t48 @t63 @t80))) % 68.44/68.70 (assume @p125 (forall @t42 (or @t115 (not (tptp.rearsegP @t41 @t3)) @t48 @t63 @t80))) % 68.44/68.70 (assume @p126 (forall @t42 (or @t116 (not (tptp.frontsegP @t41 @t3)) @t48 @t63 @t80))) % 68.44/68.70 (assume @p127 (forall @t42 (or @t92 @t117 @t47 @t82 @t80))) % 68.44/68.70 (assume @p128 (forall @t42 (or @t115 @t63 @t48 (= (tptp.app @t44 @t41) @t3)))) % 68.44/68.70 (assume @p129 (forall @t42 (or @t116 @t63 @t48 (= (tptp.app @t41 @t45) @t3)))) % 68.44/68.70 (assume @p130 (forall @t42 (or @t48 @t63 @t103 (= (tptp.tl @t62) (tptp.app @t118 @t3))))) % 68.44/68.70 (assume @p131 (forall @t42 (or @t110 @t63 @t47 @t119 @t103))) % 68.44/68.70 (assume @p132 (forall @t42 (or @t113 @t63 @t47 @t120 @t103))) % 68.44/68.70 (assume @p133 (forall @t124 (or @t115 @t123 @t63 @t48 (tptp.rearsegP @t122 @t41)))) % 68.44/68.70 (assume @p134 (forall @t124 (or @t116 @t123 @t63 @t48 (tptp.frontsegP @t125 @t41)))) % 68.44/68.70 (assume @p135 (forall @t124 (or @t97 @t123 @t82 @t47 (tptp.memberP @t126 @t3)))) % 68.44/68.70 (assume @p136 (forall @t124 (or @t129 @t48 @t128 @t82 (tptp.memberP @t127 @t41)))) % 68.44/68.70 (assume @p137 (forall @t124 (or @t129 @t123 @t48 @t82 (tptp.memberP @t125 @t41)))) % 68.44/68.70 (assume @p138 (forall @t124 (or @t129 @t48 @t123 @t82 (tptp.memberP @t122 @t41)))) % 68.44/68.70 (assume @p139 (forall @t5 (or @t48 @t66 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 68.44/68.70 (assume @p140 (forall @t124 (or @t130 @t48 @t63 @t123 (tptp.rearsegP @t121 @t41)))) % 68.44/68.70 (assume @p141 (forall @t124 (or @t130 @t63 @t48 @t123 (tptp.frontsegP @t121 @t3)))) % 68.44/68.70 (assume @p142 (forall @t42 (or @t59 (not @t103) @t63 @t48 @t101))) % 68.44/68.70 (assume @p143 (forall @t124 (or @t87 (not (tptp.gt @t41 @t121)) @t128 @t82 @t47 (tptp.gt @t3 @t121)))) % 68.44/68.70 (assume @p144 (forall @t124 (or @t92 @t132 @t128 @t82 @t47 @t131))) % 68.44/68.70 (assume @p145 (forall @t124 (or @t90 (not (tptp.geq @t41 @t121)) @t128 @t82 @t47 (tptp.geq @t3 @t121)))) % 68.44/68.70 (assume @p146 (forall @t124 (or @t48 @t63 @t123 (= (tptp.app @t133 @t3) (tptp.app @t121 @t62))))) % 68.44/68.70 (assume @p147 (forall @t124 (or (not (= @t100 @t125)) @t63 @t48 @t123 @t134))) % 68.44/68.70 (assume @p148 (forall @t124 (or (not (= @t100 @t133)) @t48 @t63 @t123 @t135))) % 68.44/68.70 (assume @p149 (forall @t124 (or @t114 (not (tptp.segmentP @t41 @t121)) @t123 @t63 @t48 (tptp.segmentP @t3 @t121)))) % 68.44/68.70 (assume @p150 (forall @t124 (or @t115 (not (tptp.rearsegP @t41 @t121)) @t123 @t63 @t48 (tptp.rearsegP @t3 @t121)))) % 68.44/68.70 (assume @p151 (forall @t124 (or @t116 (not (tptp.frontsegP @t41 @t121)) @t123 @t63 @t48 (tptp.frontsegP @t3 @t121)))) % 68.44/68.70 (assume @p152 (forall @t124 (or @t85 @t132 @t128 @t82 @t47 @t131))) % 68.44/68.70 (assume @p153 (forall @t124 (or @t92 (not (tptp.leq @t41 @t121)) @t128 @t82 @t47 (tptp.leq @t3 @t121)))) % 68.44/68.70 (assume @p154 (forall @t124 (or @t47 @t63 @t123 (= (tptp.cons @t3 (tptp.app @t41 @t121)) (tptp.app @t64 @t121))))) % 68.44/68.70 (assume @p155 (forall @t124 (or (not (tptp.memberP @t100 @t121)) @t63 @t48 @t128 @t136 (tptp.memberP @t3 @t121)))) % 68.44/68.70 (assume @p156 (forall @t42 (or (not @t120) (not @t111) @t63 @t47 @t112 @t103))) % 68.44/68.70 (assume @p157 (forall @t42 (or (not @t119) (not @t108) @t63 @t47 @t109 @t103))) % 68.44/68.70 (assume @p158 (forall @t124 (or (not (tptp.memberP @t64 @t121)) @t63 @t47 @t128 @t136 (= @t121 @t3)))) % 68.44/68.70 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 68.44/68.70 (assume @p160 (forall @t5 (or @t48 @t67 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 68.44/68.70 (assume @p161 (forall @t5 (or @t48 @t68 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 68.44/68.70 (assume @p162 (forall @t5 (or @t48 @t69 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 68.44/68.70 (assume @p163 (forall @t5 (or @t48 @t70 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 68.44/68.70 (assume @p164 (forall @t5 (or @t48 @t65 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 68.44/68.70 (assume @p165 (forall @t42 (or @t114 @t63 @t48 (= (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3)) @t3)))) % 68.44/68.70 (assume @p166 (forall @t42 (or @t129 @t82 @t48 (= (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3))) @t3)))) % 68.44/68.70 (assume @p167 (forall @t141 (or @t140 @t128 @t47 @t138 @t63 @t135))) % 68.44/68.70 (assume @p168 @t143) % 68.44/68.70 (assume @p169 (forall @t141 (or @t114 @t123 @t138 @t63 @t48 (tptp.segmentP (tptp.app (tptp.app @t137 @t3) @t121) @t41)))) % 68.44/68.70 (assume @p170 (forall @t141 (or (not (= (tptp.app @t100 @t121) @t137)) @t123 @t48 @t63 @t138 (tptp.segmentP @t137 @t41)))) % 68.44/68.70 (assume @p171 (forall @t141 (or @t144 @t138 @t63 @t128 @t47 (tptp.frontsegP @t41 @t137)))) % 68.44/68.70 (assume @p172 (forall @t141 (or (not (= @t145 @t137)) @t123 @t48 @t82 @t138 (tptp.memberP @t137 @t41)))) % 68.44/68.70 (assume @p173 (forall @t141 (or @t144 @t138 @t63 @t128 @t47 @t135))) % 68.44/68.70 (assume @p174 (forall @t42 (or (not (= @t56 @t118)) (not (= @t57 @t107)) @t48 @t63 @t103 @t96 @t55))) % 68.44/68.70 (assume @p175 (forall @t141 (or @t116 (not (= @t121 @t137)) @t63 @t48 @t146 @t128 (tptp.frontsegP @t127 (tptp.cons @t137 @t41))))) % 68.44/68.70 (assume @p176 (forall @t149 (or (not (= (tptp.app @t145 (tptp.cons @t41 @t137)) @t147)) @t138 @t123 @t48 @t82 (not (tptp.duplicatefreeP @t147)) @t148))) % 68.44/68.70 (assume @p177 (forall @t149 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t139)) @t147)) @t138 @t48 @t128 @t82 (not (tptp.equalelemsP @t147)) @t148 @t134))) % 68.44/68.70 (assume @p178 (forall @t154 (or @t153 @t148 @t123 @t48 @t146 @t82 (not (tptp.strictorderedP @t151)) @t152 @t150))) % 68.44/68.70 (assume @p179 (forall @t154 (or @t153 @t148 @t123 @t48 @t146 @t82 (not (tptp.totalorderedP @t151)) @t152 @t155))) % 68.44/68.70 (assume @p180 (forall @t154 (or @t153 @t148 @t123 @t48 @t146 @t82 (not (tptp.strictorderP @t151)) @t152 @t150 (tptp.lt @t137 @t41)))) % 68.44/68.70 (assume @p181 (forall @t154 (or @t153 @t148 @t123 @t48 @t146 @t82 (not (tptp.totalorderP @t151)) @t152 @t155 (tptp.leq @t137 @t41)))) % 68.44/68.70 (assume @p182 (forall @t154 (or @t92 @t117 (not (= (tptp.app (tptp.app @t121 (tptp.cons @t3 @t137)) (tptp.cons @t41 @t147)) @t151)) @t148 @t138 @t123 @t82 @t47 (not (tptp.cyclefreeP @t151)) @t152))) % 68.44/68.70 (assume @p183 (tptp.ssList tptp.sk1)) % 68.44/68.70 (assume @p184 (tptp.ssList tptp.sk2)) % 68.44/68.70 (assume @p185 @t156) % 68.44/68.70 (assume @p186 (tptp.ssList tptp.sk4)) % 68.44/68.70 (assume @p187 (= tptp.sk2 tptp.sk4)) % 68.44/68.70 (assume @p188 (= tptp.sk1 tptp.sk3)) % 68.44/68.70 (assume @p189 @t158) % 68.44/68.70 (assume @p190 @t171) % 68.44/68.70 (assume @p191 (forall @t170 (or @t168 @t167 @t166 @t165 (tptp.memberP @t160 @t162)))) % 68.44/68.70 (assume @p192 @t174) % 68.44/68.70 (assume @p193 (forall @t170 (or @t168 @t167 @t166 @t165 (tptp.leq @t159 @t162)))) % 68.44/68.70 (assume @p194 @t177) % 68.44/68.70 (assume @p195 @t185) % 68.44/68.70 (assume @p196 (forall @t184 (or @t168 @t167 @t166 @t182 @t181 (tptp.lt @t178 @t159) (not (tptp.memberP @t160 @t178))))) % 68.44/68.70 (step @p197 :rule evaluate :args ((= true false))) % 68.44/68.70 (step @p198 :rule refl :args (@t179)) % 68.44/68.70 (step @p199 :rule refl :args (@t180)) % 68.44/68.70 (step @p200 :rule refl :args (@t181)) % 68.44/68.70 (step @p201 :rule eq-symm :args (@t164 tptp.sk3)) % 68.44/68.70 (step @p202 :rule cong :premises (@p201) :args (@t182)) % 68.44/68.70 (step @p203 :rule refl :args (@t166)) % 68.44/68.70 (step @p204 :rule refl :args (@t167)) % 68.44/68.70 (step @p205 :rule refl :args (@t168)) % 68.44/68.70 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p200 @p199 @p198) :args (@t183)) % 68.44/68.70 (step @p207 :rule cong :premises (@p206) :args (@t185)) % 68.44/68.70 (step @p208 :rule eq_resolve :premises (@p195 @p207)) % 68.44/68.70 (step @p209 :rule instantiate :premises (@p208) :args ((@list @t186 tptp.nil @t191 @t190))) % 68.44/68.70 (step @p210 :rule refl :args (@t163)) % 68.44/68.70 (step @p211 :rule refl :args (@t164)) % 68.44/68.70 (step @p212 :rule cong :premises (@p188 @p211) :args (@t192)) % 68.44/68.70 (step @p213 :rule cong :premises (@p212) :args (@t193)) % 68.44/68.70 (step @p214 :rule nary_cong :premises (@p205 @p204 @p203 @p213 @p210) :args (@t194)) % 68.44/68.70 (step @p215 :rule cong :premises (@p214) :args ((forall @t170 @t194))) % 68.44/68.70 (step @p216 :rule eq-symm :args (@t164 tptp.sk1)) % 68.44/68.70 (step @p217 :rule cong :premises (@p216) :args (@t165)) % 68.44/68.70 (step @p218 :rule nary_cong :premises (@p205 @p204 @p203 @p217 @p210) :args (@t169)) % 68.44/68.70 (step @p219 :rule cong :premises (@p218) :args (@t171)) % 68.44/68.70 (step @p220 :rule trans :premises (@p219 @p215)) % 68.44/68.70 (step @p221 :rule eq_resolve :premises (@p190 @p220)) % 68.44/68.70 (step @p222 :rule instantiate :premises (@p221) :args (@t195)) % 68.44/68.70 (step @p223 :rule refl :args (@t189)) % 68.44/68.70 (step @p224 :rule refl :args (@t196)) % 68.44/68.70 (step @p225 :rule eq-symm :args (@t137 @t41)) % 68.44/68.70 (step @p226 :rule refl :args (@t63)) % 68.44/68.70 (step @p227 :rule refl :args (@t138)) % 68.44/68.70 (step @p228 :rule refl :args (@t47)) % 68.44/68.70 (step @p229 :rule refl :args (@t128)) % 68.44/68.70 (step @p230 :rule refl :args (@t140)) % 68.44/68.70 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p227 @p226 @p225) :args (@t142)) % 68.44/68.70 (step @p232 :rule cong :premises (@p231) :args (@t143)) % 68.44/68.70 (step @p233 :rule eq_resolve :premises (@p168 @p232)) % 68.44/68.70 (step @p234 :rule instantiate :premises (@p233) :args ((@list tptp.skac2 tptp.nil @t197 @t188))) % 68.44/68.70 (step @p235 :rule instantiate :premises (@p13) :args (@t198)) % 68.44/68.70 (step @p236 :rule instantiate :premises (@p12) :args (@t198)) % 68.44/68.70 (step @p237 :rule refl :args (@t55)) % 68.44/68.70 (step @p238 :rule eq-symm :args (@t93 @t3)) % 68.44/68.70 (step @p239 :rule refl :args (@t48)) % 68.44/68.70 (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args (@t94)) % 68.44/68.70 (step @p241 :rule cong :premises (@p240) :args (@t95)) % 68.44/68.70 (step @p242 :rule eq_resolve :premises (@p107 @p241)) % 68.44/68.70 (step @p243 :rule instantiate :premises (@p242) :args (@t198)) % 68.44/68.70 (step @p244 :rule eq-symm :args (@t64 tptp.nil)) % 68.44/68.70 (step @p245 :rule cong :premises (@p244) :args (@t77)) % 68.44/68.70 (step @p246 :rule nary_cong :premises (@p245 @p228 @p226) :args (@t78)) % 68.44/68.70 (step @p247 :rule cong :premises (@p246) :args (@t79)) % 68.44/68.70 (step @p248 :rule eq_resolve :premises (@p96 @p247)) % 68.44/68.70 (step @p249 :rule instantiate :premises (@p248) :args (@t199)) % 68.44/68.70 (step @p250 :rule cnf_or_pos :args (@t204)) % 68.44/68.70 (step @p251 :rule reordering :premises (@p250) :args ((or @t200 @t201 @t203 (not @t204)))) % 68.44/68.70 (step @p252 :rule chain_m_resolution :premises (@p251 @p8 @p10 @p249) :args (@t203 @t205 (@list @t1 @t2 @t204))) % 68.44/68.70 (step @p253 :rule instantiate :premises (@p84) :args (@t199)) % 68.44/68.70 (step @p254 :rule cnf_or_pos :args (@t207)) % 68.44/68.70 (step @p255 :rule reordering :premises (@p254) :args ((or @t200 @t201 @t206 (not @t207)))) % 68.44/68.70 (step @p256 :rule chain_m_resolution :premises (@p255 @p8 @p10 @p253) :args (@t206 @t205 (@list @t1 @t2 @t207))) % 68.44/68.70 (step @p257 :rule cnf_or_pos :args (@t210)) % 68.44/68.70 (step @p258 :rule reordering :premises (@p257) :args ((or @t209 @t202 @t208 (not @t210)))) % 68.44/68.70 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p252 @p243) :args (@t208 (@list false true false) (@list @t206 @t202 @t210))) % 68.44/68.70 (step @p260 :rule cnf_or_pos :args (@t217)) % 68.44/68.70 (step @p261 :rule reordering :premises (@p260) :args ((or @t200 @t201 @t216 @t215 @t213 @t211 (not @t217)))) % 68.44/68.70 (step @p262 :rule chain_m_resolution :premises (@p261 @p8 @p10 @p259 @p236 @p235 @p234) :args (@t211 (@list false false false false false false) (@list @t1 @t2 @t208 @t214 @t212 @t217))) % 68.44/68.70 (step @p263 :rule cong :premises (@p262 @p224) :args (@t218)) % 68.44/68.70 (step @p264 :rule eq-symm :args (@t52 @t3)) % 68.44/68.70 (step @p265 :rule nary_cong :premises (@p239 @p264) :args (@t53)) % 68.44/68.70 (step @p266 :rule cong :premises (@p265) :args (@t54)) % 68.44/68.70 (step @p267 :rule eq_resolve :premises (@p74 @p266)) % 68.44/68.70 (step @p268 :rule instantiate :premises (@p267) :args ((@list @t196))) % 68.44/68.70 (step @p269 :rule instantiate :premises (@p84) :args ((@list @t186 tptp.nil))) % 68.44/68.70 (step @p270 :rule instantiate :premises (@p76) :args (@t219)) % 68.44/68.70 (step @p271 :rule refl :args (tptp.nil)) % 68.44/68.70 (step @p272 :rule cong :premises (@p271 @p188) :args (@t157)) % 68.44/68.70 (step @p273 :rule cong :premises (@p272) :args (@t158)) % 68.44/68.70 (step @p274 :rule eq_resolve :premises (@p189 @p273)) % 68.44/68.70 (step @p275 :rule cnf_or_pos :args (@t223)) % 68.44/68.70 (step @p276 :rule reordering :premises (@p275) :args ((or @t220 @t222 @t221 (not @t223)))) % 68.44/68.70 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p185 @p270) :args (@t221 @t224 (@list @t220 @t156 @t223))) % 68.44/68.70 (step @p278 :rule cnf_or_pos :args (@t227)) % 68.44/68.70 (step @p279 :rule reordering :premises (@p278) :args ((or @t200 @t226 @t225 (not @t227)))) % 68.44/68.70 (step @p280 :rule chain_m_resolution :premises (@p279 @p8 @p277 @p269) :args (@t225 @t205 (@list @t1 @t221 @t227))) % 68.44/68.70 (step @p281 :rule cnf_or_pos :args (@t230)) % 68.44/68.70 (step @p282 :rule reordering :premises (@p281) :args ((or @t229 @t228 (not @t230)))) % 68.44/68.70 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p268) :args (@t228 (@list false false) (@list @t225 @t230))) % 68.44/68.70 (step @p284 :rule trans :premises (@p283 @p263)) % 68.44/68.70 (step @p285 :rule instantiate :premises (@p242) :args (@t219)) % 68.44/68.70 (step @p286 :rule cnf_or_pos :args (@t234)) % 68.44/68.70 (step @p287 :rule reordering :premises (@p286) :args ((or @t220 @t222 @t233 (not @t234)))) % 68.44/68.70 (step @p288 :rule chain_m_resolution :premises (@p287 @p274 @p185 @p285) :args (@t233 @t224 (@list @t220 @t156 @t234))) % 68.44/68.70 (step @p289 :rule symm :premises (@p288)) % 68.44/68.70 (step @p290 :rule cong :premises (@p289) :args (@t235)) % 68.44/68.70 (step @p291 :rule eq-symm :args (@t74 @t3)) % 68.44/68.70 (step @p292 :rule nary_cong :premises (@p228 @p226 @p291) :args (@t75)) % 68.44/68.70 (step @p293 :rule cong :premises (@p292) :args (@t76)) % 68.44/68.70 (step @p294 :rule eq_resolve :premises (@p95 @p293)) % 68.44/68.70 (step @p295 :rule instantiate :premises (@p294) :args (@t236)) % 68.44/68.70 (step @p296 :rule instantiate :premises (@p13) :args (@t219)) % 68.44/68.70 (step @p297 :rule instantiate :premises (@p12) :args (@t219)) % 68.44/68.70 (step @p298 :rule cnf_or_pos :args (@t242)) % 68.44/68.70 (step @p299 :rule reordering :premises (@p298) :args ((or @t241 @t239 @t237 (not @t242)))) % 68.44/68.70 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p296 @p295) :args (@t237 @t205 (@list @t240 @t238 @t242))) % 68.44/68.70 (step @p301 :rule trans :premises (@p300 @p290)) % 68.44/68.70 (step @p302 :rule cong :premises (@p301 @p271) :args (@t243)) % 68.44/68.70 (step @p303 :rule trans :premises (@p302 @p284)) % 68.44/68.70 (step @p304 :rule cong :premises (@p303 @p223) :args (@t244)) % 68.44/68.70 (step @p305 :rule eq-symm :args (@t104 @t64)) % 68.44/68.70 (step @p306 :rule nary_cong :premises (@p228 @p226 @p305) :args (@t105)) % 68.44/68.70 (step @p307 :rule cong :premises (@p306) :args (@t106)) % 68.44/68.70 (step @p308 :rule eq_resolve :premises (@p118 @p307)) % 68.44/68.70 (step @p309 :rule instantiate :premises (@p308) :args (@t236)) % 68.44/68.70 (step @p310 :rule cnf_or_pos :args (@t246)) % 68.44/68.70 (step @p311 :rule reordering :premises (@p310) :args ((or @t241 @t239 @t245 (not @t246)))) % 68.44/68.70 (step @p312 :rule chain_m_resolution :premises (@p311 @p297 @p296 @p309) :args (@t245 @t205 (@list @t240 @t238 @t246))) % 68.44/68.70 (step @p313 :rule trans :premises (@p288 @p312 @p304)) % 68.44/68.70 (step @p314 :rule cnf_or_pos :args (@t250)) % 68.44/68.70 (step @p315 :rule reordering :premises (@p314) :args ((or @t226 @t239 @t213 @t249 @t247 (not @t250)))) % 68.44/68.70 (step @p316 :rule chain_m_resolution :premises (@p315 @p277 @p296 @p235 @p313 @p222) :args (@t247 @t251 (@list @t221 @t238 @t212 @t248 @t250))) % 68.44/68.70 (step @p317 :rule refl :args (@t175)) % 68.44/68.70 (step @p318 :rule nary_cong :premises (@p205 @p204 @p203 @p213 @p317) :args (@t252)) % 68.44/68.70 (step @p319 :rule cong :premises (@p318) :args ((forall @t170 @t252))) % 68.44/68.70 (step @p320 :rule nary_cong :premises (@p205 @p204 @p203 @p217 @p317) :args (@t176)) % 68.44/68.70 (step @p321 :rule cong :premises (@p320) :args (@t177)) % 68.44/68.70 (step @p322 :rule trans :premises (@p321 @p319)) % 68.44/68.70 (step @p323 :rule eq_resolve :premises (@p194 @p322)) % 68.44/68.70 (step @p324 :rule instantiate :premises (@p323) :args (@t195)) % 68.44/68.70 (step @p325 :rule cnf_or_pos :args (@t255)) % 68.44/68.70 (step @p326 :rule reordering :premises (@p325) :args ((or @t226 @t239 @t213 @t249 @t254 (not @t255)))) % 68.44/68.70 (step @p327 :rule chain_m_resolution :premises (@p326 @p277 @p296 @p235 @p313 @p324) :args (@t254 @t251 (@list @t221 @t238 @t212 @t248 @t255))) % 68.44/68.70 (step @p328 :rule cong :premises (@p289) :args (@t256)) % 68.44/68.70 (step @p329 :rule eq-symm :args (@t71 @t41)) % 68.44/68.70 (step @p330 :rule nary_cong :premises (@p228 @p226 @p329) :args (@t72)) % 68.44/68.70 (step @p331 :rule cong :premises (@p330) :args (@t73)) % 68.44/68.70 (step @p332 :rule eq_resolve :premises (@p94 @p331)) % 68.44/68.70 (step @p333 :rule instantiate :premises (@p332) :args (@t236)) % 68.44/68.70 (step @p334 :rule cnf_or_pos :args (@t258)) % 68.44/68.70 (step @p335 :rule reordering :premises (@p334) :args ((or @t241 @t239 @t257 (not @t258)))) % 68.44/68.70 (step @p336 :rule chain_m_resolution :premises (@p335 @p297 @p296 @p333) :args (@t257 @t205 (@list @t240 @t238 @t258))) % 68.44/68.70 (step @p337 :rule trans :premises (@p336 @p328)) % 68.44/68.70 (step @p338 :rule trans :premises (@p302 @p283)) % 68.44/68.70 (step @p339 :rule cong :premises (@p338 @p337) :args (@t244)) % 68.44/68.70 (step @p340 :rule trans :premises (@p288 @p312 @p339)) % 68.44/68.70 (step @p341 :rule true_intro :premises (@p296)) % 68.44/68.70 (step @p342 :rule symm :premises (@p336)) % 68.44/68.70 (step @p343 :rule cong :premises (@p288) :args (@t191)) % 68.44/68.70 (step @p344 :rule trans :premises (@p343 @p342)) % 68.44/68.70 (step @p345 :rule cong :premises (@p344) :args (@t259)) % 68.44/68.70 (step @p346 :rule trans :premises (@p345 @p341)) % 68.44/68.70 (step @p347 :rule true_elim :premises (@p346)) % 68.44/68.70 (step @p348 :rule cnf_or_pos :args (@t265)) % 68.44/68.70 (step @p349 :rule reordering :premises (@p348) :args ((or @t200 @t226 @t264 @t263 @t253 @t261 @t260 (not @t265)))) % 68.44/68.70 (step @p350 :rule chain_m_resolution :premises (@p349 @p8 @p277 @p347 @p340 @p327 @p316 @p209) :args (@t260 (@list false false false false true false false) (@list @t1 @t221 @t259 @t262 @t253 @t247 @t265))) % 68.44/68.70 (step @p351 :rule false_intro :premises (@p350)) % 68.44/68.70 (step @p352 :rule refl :args (@t190)) % 68.44/68.70 (step @p353 :rule cong :premises (@p337 @p352) :args (@t266)) % 68.44/68.70 (step @p354 :rule refl :args (@t172)) % 68.44/68.70 (step @p355 :rule nary_cong :premises (@p205 @p204 @p203 @p213 @p354) :args (@t267)) % 68.44/68.70 (step @p356 :rule cong :premises (@p355) :args ((forall @t170 @t267))) % 68.44/68.70 (step @p357 :rule nary_cong :premises (@p205 @p204 @p203 @p217 @p354) :args (@t173)) % 68.44/68.70 (step @p358 :rule cong :premises (@p357) :args (@t174)) % 68.44/68.70 (step @p359 :rule trans :premises (@p358 @p356)) % 68.44/68.70 (step @p360 :rule eq_resolve :premises (@p192 @p359)) % 68.44/68.70 (step @p361 :rule instantiate :premises (@p360) :args (@t195)) % 68.44/68.70 (step @p362 :rule cnf_or_pos :args (@t268)) % 68.44/68.70 (step @p363 :rule reordering :premises (@p362) :args ((or @t226 @t239 @t213 @t249 @t266 (not @t268)))) % 68.44/68.70 (step @p364 :rule chain_m_resolution :premises (@p363 @p277 @p296 @p235 @p313 @p361) :args (@t266 @t251 (@list @t221 @t238 @t212 @t248 @t268))) % 68.44/68.70 (step @p365 :rule true_intro :premises (@p364)) % 68.44/68.70 (step @p366 :rule symm :premises (@p365)) % 68.44/68.70 (step @p367 :rule trans :premises (@p366 @p353 @p351)) % 68.44/68.70 (step @p368 false :rule eq_resolve :premises (@p367 @p197)) % 68.44/68.70 ) % 63.99/68.70 % SZS output end Proof % 63.99/68.70 % cvc5 exiting %------------------------------------------------------------------------------