%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC168-1 : 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 : n007.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 08:58:19 AM UTC 2026 % Result : Unsatisfiable 51.12s 51.32s % Output : Proof 51.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : SWC168-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.32 % Computer : n007.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.32 % CPULimit : 300 % 0.14/0.32 % WCLimit : 300 % 0.14/0.32 % DateTime : Tue Jun 2 19:18:41 EDT 2026 % 0.14/0.32 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.60/15.90 --- Run --no-e-matching --full-saturate-quant at 6... % 21.70/21.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.72/27.98 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.81/34.03 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 51.12/51.32 % SZS status Unsatisfiable % 51.12/51.32 % SZS output start Proof % 51.12/51.34 ( % 51.12/51.34 (declare-sort $$unsorted 0) % 51.12/51.34 (declare-const tptp.sk10 $$unsorted) % 51.12/51.34 (declare-const tptp.sk9 $$unsorted) % 51.12/51.34 (declare-const tptp.sk8 $$unsorted) % 51.12/51.34 (declare-const tptp.sk7 $$unsorted) % 51.12/51.34 (declare-const tptp.sk5 $$unsorted) % 51.12/51.34 (declare-const tptp.sk4 $$unsorted) % 51.12/51.34 (declare-const tptp.sk2 $$unsorted) % 51.12/51.34 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.nil $$unsorted) % 51.12/51.34 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.sk1 $$unsorted) % 51.12/51.34 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skac2 $$unsorted) % 51.12/51.34 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.sk3 $$unsorted) % 51.12/51.34 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.sk6 $$unsorted) % 51.12/51.34 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.ssList (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skac3 $$unsorted) % 51.12/51.34 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 51.12/51.34 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 51.12/51.34 (define @t1 () (tptp.ssList tptp.nil)) % 51.12/51.34 (define @t2 () (@var "U" $$unsorted)) % 51.12/51.34 (define @t3 () (tptp.skaf83 @t2)) % 51.12/51.34 (define @t4 () (@list @t2)) % 51.12/51.34 (define @t5 () (tptp.skaf82 @t2)) % 51.12/51.34 (define @t6 () (tptp.skaf81 @t2)) % 51.12/51.34 (define @t7 () (tptp.skaf80 @t2)) % 51.12/51.34 (define @t8 () (tptp.skaf79 @t2)) % 51.12/51.34 (define @t9 () (tptp.skaf78 @t2)) % 51.12/51.34 (define @t10 () (tptp.skaf77 @t2)) % 51.12/51.34 (define @t11 () (tptp.skaf76 @t2)) % 51.12/51.34 (define @t12 () (tptp.skaf75 @t2)) % 51.12/51.34 (define @t13 () (tptp.skaf74 @t2)) % 51.12/51.34 (define @t14 () (tptp.skaf73 @t2)) % 51.12/51.34 (define @t15 () (tptp.skaf72 @t2)) % 51.12/51.34 (define @t16 () (tptp.skaf71 @t2)) % 51.12/51.34 (define @t17 () (tptp.skaf70 @t2)) % 51.12/51.34 (define @t18 () (tptp.skaf69 @t2)) % 51.12/51.34 (define @t19 () (tptp.skaf68 @t2)) % 51.12/51.34 (define @t20 () (tptp.skaf67 @t2)) % 51.12/51.34 (define @t21 () (tptp.skaf66 @t2)) % 51.12/51.34 (define @t22 () (tptp.skaf65 @t2)) % 51.12/51.34 (define @t23 () (tptp.skaf64 @t2)) % 51.12/51.34 (define @t24 () (tptp.skaf63 @t2)) % 51.12/51.34 (define @t25 () (tptp.skaf62 @t2)) % 51.12/51.34 (define @t26 () (tptp.skaf61 @t2)) % 51.12/51.34 (define @t27 () (tptp.skaf60 @t2)) % 51.12/51.34 (define @t28 () (tptp.skaf59 @t2)) % 51.12/51.34 (define @t29 () (tptp.skaf58 @t2)) % 51.12/51.34 (define @t30 () (tptp.skaf57 @t2)) % 51.12/51.34 (define @t31 () (tptp.skaf56 @t2)) % 51.12/51.34 (define @t32 () (tptp.skaf55 @t2)) % 51.12/51.34 (define @t33 () (tptp.skaf54 @t2)) % 51.12/51.34 (define @t34 () (tptp.skaf53 @t2)) % 51.12/51.34 (define @t35 () (tptp.skaf52 @t2)) % 51.12/51.34 (define @t36 () (tptp.skaf51 @t2)) % 51.12/51.34 (define @t37 () (tptp.skaf50 @t2)) % 51.12/51.34 (define @t38 () (tptp.skaf49 @t2)) % 51.12/51.34 (define @t39 () (tptp.skaf44 @t2)) % 51.12/51.34 (define @t40 () (@var "V" $$unsorted)) % 51.12/51.34 (define @t41 () (@list @t2 @t40)) % 51.12/51.34 (define @t42 () (tptp.skaf47 @t2 @t40)) % 51.12/51.34 (define @t43 () (tptp.skaf46 @t2 @t40)) % 51.12/51.34 (define @t44 () (tptp.skaf45 @t2 @t40)) % 51.12/51.34 (define @t45 () (tptp.skaf42 @t2 @t40)) % 51.12/51.34 (define @t46 () (not (tptp.ssItem @t2))) % 51.12/51.34 (define @t47 () (not (tptp.ssList @t2))) % 51.12/51.34 (define @t48 () (tptp.cons @t2 tptp.nil)) % 51.12/51.34 (define @t49 () (tptp.ssItem @t40)) % 51.12/51.34 (define @t50 () (tptp.duplicatefreeP @t2)) % 51.12/51.34 (define @t51 () (tptp.app tptp.nil @t2)) % 51.12/51.34 (define @t52 () (or @t47 (= @t51 @t2))) % 51.12/51.34 (define @t53 () (forall @t4 @t52)) % 51.12/51.34 (define @t54 () (= tptp.nil @t2)) % 51.12/51.34 (define @t55 () (tptp.tl @t2)) % 51.12/51.34 (define @t56 () (tptp.hd @t2)) % 51.12/51.34 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 51.12/51.34 (define @t58 () (not @t54)) % 51.12/51.34 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 51.12/51.34 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 51.12/51.34 (define @t61 () (tptp.app @t40 @t2)) % 51.12/51.34 (define @t62 () (not (tptp.ssList @t40))) % 51.12/51.34 (define @t63 () (tptp.cons @t2 @t40)) % 51.12/51.34 (define @t64 () (tptp.cyclefreeP @t2)) % 51.12/51.34 (define @t65 () (tptp.equalelemsP @t2)) % 51.12/51.34 (define @t66 () (tptp.strictorderedP @t2)) % 51.12/51.34 (define @t67 () (tptp.totalorderedP @t2)) % 51.12/51.34 (define @t68 () (tptp.strictorderP @t2)) % 51.12/51.34 (define @t69 () (tptp.totalorderP @t2)) % 51.12/51.34 (define @t70 () (= @t40 @t2)) % 51.12/51.34 (define @t71 () (tptp.neq @t40 @t2)) % 51.12/51.34 (define @t72 () (not @t49)) % 51.12/51.34 (define @t73 () (or @t46 @t72 @t71 @t70)) % 51.12/51.34 (define @t74 () (forall @t41 @t73)) % 51.12/51.34 (define @t75 () (tptp.leq @t2 @t40)) % 51.12/51.34 (define @t76 () (tptp.lt @t2 @t40)) % 51.12/51.34 (define @t77 () (not @t76)) % 51.12/51.34 (define @t78 () (tptp.lt @t40 @t2)) % 51.12/51.34 (define @t79 () (not (tptp.gt @t2 @t40))) % 51.12/51.34 (define @t80 () (tptp.gt @t40 @t2)) % 51.12/51.34 (define @t81 () (tptp.leq @t40 @t2)) % 51.12/51.34 (define @t82 () (not (tptp.geq @t2 @t40))) % 51.12/51.34 (define @t83 () (tptp.geq @t40 @t2)) % 51.12/51.34 (define @t84 () (not @t75)) % 51.12/51.34 (define @t85 () (= @t2 @t40)) % 51.12/51.34 (define @t86 () (not @t85)) % 51.12/51.34 (define @t87 () (tptp.cons @t40 @t2)) % 51.12/51.34 (define @t88 () (not (tptp.neq @t2 @t40))) % 51.12/51.34 (define @t89 () (tptp.app @t2 @t40)) % 51.12/51.34 (define @t90 () (= @t89 tptp.nil)) % 51.12/51.34 (define @t91 () (not @t90)) % 51.12/51.34 (define @t92 () (= tptp.nil @t40)) % 51.12/51.34 (define @t93 () (tptp.app @t48 @t40)) % 51.12/51.34 (define @t94 () (or @t46 @t62 (= @t93 @t63))) % 51.12/51.34 (define @t95 () (forall @t41 @t94)) % 51.12/51.34 (define @t96 () (tptp.hd @t40)) % 51.12/51.34 (define @t97 () (tptp.strictorderedP @t40)) % 51.12/51.34 (define @t98 () (tptp.strictorderedP @t63)) % 51.12/51.34 (define @t99 () (not @t98)) % 51.12/51.34 (define @t100 () (tptp.totalorderedP @t40)) % 51.12/51.34 (define @t101 () (tptp.totalorderedP @t63)) % 51.12/51.34 (define @t102 () (not @t101)) % 51.12/51.34 (define @t103 () (not (tptp.segmentP @t2 @t40))) % 51.12/51.34 (define @t104 () (not (tptp.rearsegP @t2 @t40))) % 51.12/51.34 (define @t105 () (not (tptp.frontsegP @t2 @t40))) % 51.12/51.34 (define @t106 () (not @t81)) % 51.12/51.34 (define @t107 () (tptp.tl @t40)) % 51.12/51.34 (define @t108 () (tptp.lt @t2 @t96)) % 51.12/51.34 (define @t109 () (tptp.leq @t2 @t96)) % 51.12/51.34 (define @t110 () (@var "W" $$unsorted)) % 51.12/51.34 (define @t111 () (tptp.app @t110 @t2)) % 51.12/51.34 (define @t112 () (not (tptp.ssList @t110))) % 51.12/51.34 (define @t113 () (@list @t2 @t40 @t110)) % 51.12/51.34 (define @t114 () (tptp.app @t2 @t110)) % 51.12/51.34 (define @t115 () (tptp.cons @t40 @t110)) % 51.12/51.34 (define @t116 () (tptp.cons @t110 @t2)) % 51.12/51.34 (define @t117 () (not (tptp.ssItem @t110))) % 51.12/51.34 (define @t118 () (not (tptp.memberP @t2 @t40))) % 51.12/51.34 (define @t119 () (not (= @t89 @t110))) % 51.12/51.34 (define @t120 () (tptp.lt @t2 @t110)) % 51.12/51.34 (define @t121 () (not (tptp.lt @t40 @t110))) % 51.12/51.34 (define @t122 () (tptp.app @t110 @t40)) % 51.12/51.34 (define @t123 () (= @t40 @t110)) % 51.12/51.34 (define @t124 () (= @t2 @t110)) % 51.12/51.34 (define @t125 () (tptp.memberP @t40 @t110)) % 51.12/51.34 (define @t126 () (@var "X" $$unsorted)) % 51.12/51.34 (define @t127 () (not (tptp.ssList @t126))) % 51.12/51.34 (define @t128 () (tptp.cons @t110 @t126)) % 51.12/51.34 (define @t129 () (not (= @t63 @t128))) % 51.12/51.34 (define @t130 () (@list @t2 @t40 @t110 @t126)) % 51.12/51.34 (define @t131 () (not (tptp.frontsegP @t63 @t128))) % 51.12/51.34 (define @t132 () (tptp.app @t2 @t115)) % 51.12/51.34 (define @t133 () (not (tptp.ssItem @t126))) % 51.12/51.34 (define @t134 () (@var "Y" $$unsorted)) % 51.12/51.34 (define @t135 () (not (tptp.ssList @t134))) % 51.12/51.34 (define @t136 () (@list @t2 @t40 @t110 @t126 @t134)) % 51.12/51.34 (define @t137 () (tptp.lt @t40 @t126)) % 51.12/51.34 (define @t138 () (@var "Z" $$unsorted)) % 51.12/51.34 (define @t139 () (not (tptp.ssList @t138))) % 51.12/51.34 (define @t140 () (not (tptp.strictorderedP @t138))) % 51.12/51.34 (define @t141 () (tptp.app @t132 (tptp.cons @t126 @t134))) % 51.12/51.34 (define @t142 () (not (= @t141 @t138))) % 51.12/51.34 (define @t143 () (or @t142 @t135 @t112 @t47 @t133 @t72 @t140 @t139 @t137)) % 51.12/51.34 (define @t144 () (@list @t2 @t40 @t110 @t126 @t134 @t138)) % 51.12/51.34 (define @t145 () (forall @t144 @t143)) % 51.12/51.34 (define @t146 () (tptp.leq @t40 @t126)) % 51.12/51.34 (define @t147 () (tptp.ssList tptp.sk1)) % 51.12/51.34 (define @t148 () (tptp.strictorderedP tptp.sk3)) % 51.12/51.34 (define @t149 () (@var "C" $$unsorted)) % 51.12/51.34 (define @t150 () (@var "A" $$unsorted)) % 51.12/51.34 (define @t151 () (@var "D" $$unsorted)) % 51.12/51.34 (define @t152 () (tptp.cons @t149 tptp.nil)) % 51.12/51.34 (define @t153 () (not (tptp.ssList @t151))) % 51.12/51.34 (define @t154 () (not (tptp.ssItem @t149))) % 51.12/51.34 (define @t155 () (tptp.cons @t150 tptp.nil)) % 51.12/51.34 (define @t156 () (@var "B" $$unsorted)) % 51.12/51.34 (define @t157 () (not (tptp.ssList @t156))) % 51.12/51.34 (define @t158 () (not (tptp.ssItem @t150))) % 51.12/51.34 (define @t159 () (@list @t150 @t156 @t149 @t151)) % 51.12/51.34 (define @t160 () (tptp.ssItem tptp.sk7)) % 51.12/51.34 (define @t161 () (tptp.ssItem tptp.sk8)) % 51.12/51.34 (define @t162 () (tptp.ssList tptp.sk9)) % 51.12/51.34 (define @t163 () (tptp.ssList tptp.sk10)) % 51.12/51.34 (define @t164 () (tptp.cons tptp.sk8 tptp.nil)) % 51.12/51.34 (define @t165 () (tptp.cons tptp.sk7 tptp.nil)) % 51.12/51.34 (define @t166 () (tptp.app tptp.sk9 @t165)) % 51.12/51.34 (define @t167 () (tptp.app (tptp.app @t166 @t164) tptp.sk10)) % 51.12/51.34 (define @t168 () (tptp.neq tptp.sk7 tptp.sk8)) % 51.12/51.34 (define @t169 () (not (tptp.ssList @t141))) % 51.12/51.34 (define @t170 () (not (tptp.strictorderedP @t141))) % 51.12/51.34 (define @t171 () (not (= @t141 @t141))) % 51.12/51.34 (define @t172 () (or @t171 @t135 @t112 @t47 @t133 @t72 @t170 @t169 @t137)) % 51.12/51.34 (define @t173 () (not (= @t138 @t141))) % 51.12/51.34 (define @t174 () (or @t173 @t173 @t135 @t112 @t47 @t133 @t72 @t140 @t139 @t137)) % 51.12/51.34 (define @t175 () (@list @t138)) % 51.12/51.34 (define @t176 () (or @t173 @t135 @t112 @t47 @t133 @t72 @t140 @t139 @t137)) % 51.12/51.34 (define @t177 () (forall @t175 @t176)) % 51.12/51.34 (define @t178 () (forall @t136 @t177)) % 51.12/51.34 (define @t179 () (tptp.ssList @t164)) % 51.12/51.34 (define @t180 () (not @t1)) % 51.12/51.34 (define @t181 () (not @t161)) % 51.12/51.34 (define @t182 () (or @t181 @t180 @t179)) % 51.12/51.34 (define @t183 () (@list false false false)) % 51.12/51.34 (define @t184 () (not @t160)) % 51.12/51.34 (define @t185 () (or @t181 @t184 @t168 (= tptp.sk8 tptp.sk7))) % 51.12/51.34 (define @t186 () (forall @t41 (or @t46 @t72 @t71 @t85))) % 51.12/51.34 (define @t187 () (= tptp.sk7 tptp.sk8)) % 51.12/51.34 (define @t188 () (or @t181 @t184 @t168 @t187)) % 51.12/51.34 (define @t189 () (@list false)) % 51.12/51.34 (define @t190 () (tptp.ssList @t165)) % 51.12/51.34 (define @t191 () (tptp.ssList @t166)) % 51.12/51.34 (define @t192 () (not @t162)) % 51.12/51.34 (define @t193 () (not @t190)) % 51.12/51.34 (define @t194 () (or @t193 @t192 @t191)) % 51.12/51.34 (define @t195 () (tptp.app @t164 tptp.sk10)) % 51.12/51.34 (define @t196 () (tptp.app @t166 @t195)) % 51.12/51.34 (define @t197 () (= @t167 @t196)) % 51.12/51.34 (define @t198 () (not @t191)) % 51.12/51.34 (define @t199 () (not @t179)) % 51.12/51.34 (define @t200 () (not @t163)) % 51.12/51.34 (define @t201 () (or @t200 @t199 @t198 @t197)) % 51.12/51.34 (define @t202 () (tptp.cons tptp.sk8 tptp.sk10)) % 51.12/51.34 (define @t203 () (or @t181 @t200 (= @t202 @t195))) % 51.12/51.34 (define @t204 () (forall @t41 (or @t46 @t62 (= @t63 @t93)))) % 51.12/51.34 (define @t205 () (= @t195 @t202)) % 51.12/51.34 (define @t206 () (or @t181 @t200 @t205)) % 51.12/51.34 (define @t207 () (tptp.app tptp.nil tptp.sk10)) % 51.12/51.34 (define @t208 () (= tptp.sk10 @t207)) % 51.12/51.34 (define @t209 () (or @t200 @t208)) % 51.12/51.34 (define @t210 () (@list false false)) % 51.12/51.34 (define @t211 () (tptp.cons tptp.sk8 @t207)) % 51.12/51.34 (define @t212 () (tptp.cons tptp.sk7 tptp.sk10)) % 51.12/51.34 (define @t213 () (tptp.app @t166 @t212)) % 51.12/51.34 (define @t214 () (tptp.ssList @t213)) % 51.12/51.34 (define @t215 () (tptp.lt tptp.sk7 tptp.sk7)) % 51.12/51.34 (define @t216 () (not @t215)) % 51.12/51.34 (define @t217 () (or @t216 @t184)) % 51.12/51.34 (define @t218 () (not @t214)) % 51.12/51.34 (define @t219 () (not (tptp.strictorderedP @t213))) % 51.12/51.34 (define @t220 () (or @t200 @t180 @t192 @t184 @t184 @t219 @t218 @t215)) % 51.12/51.34 (assume @p1 (tptp.equalelemsP tptp.nil)) % 51.12/51.34 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 51.12/51.34 (assume @p3 (tptp.strictorderedP tptp.nil)) % 51.12/51.34 (assume @p4 (tptp.totalorderedP tptp.nil)) % 51.12/51.34 (assume @p5 (tptp.strictorderP tptp.nil)) % 51.12/51.34 (assume @p6 (tptp.totalorderP tptp.nil)) % 51.12/51.34 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 51.12/51.34 (assume @p8 @t1) % 51.12/51.34 (assume @p9 (tptp.ssItem tptp.skac3)) % 51.12/51.34 (assume @p10 (tptp.ssItem tptp.skac2)) % 51.12/51.34 (assume @p11 (not (tptp.singletonP tptp.nil))) % 51.12/51.34 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 51.12/51.34 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 51.12/51.34 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 51.12/51.34 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 51.12/51.34 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 51.12/51.34 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 51.12/51.34 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 51.12/51.34 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 51.12/51.34 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 51.12/51.34 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 51.12/51.34 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 51.12/51.34 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 51.12/51.34 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 51.12/51.34 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 51.12/51.34 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 51.12/51.34 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 51.12/51.34 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 51.12/51.34 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 51.12/51.34 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 51.12/51.34 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 51.12/51.34 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 51.12/51.34 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 51.12/51.34 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 51.12/51.34 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 51.12/51.34 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 51.12/51.34 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 51.12/51.34 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 51.12/51.34 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 51.12/51.34 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 51.12/51.34 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 51.12/51.34 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 51.12/51.34 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 51.12/51.34 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 51.12/51.34 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 51.12/51.34 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 51.12/51.34 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 51.12/51.34 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 51.12/51.34 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 51.12/51.34 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 51.12/51.34 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 51.12/51.34 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 51.12/51.34 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 51.12/51.34 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 51.12/51.34 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 51.12/51.34 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 51.12/51.34 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 51.12/51.34 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 51.12/51.34 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 51.12/51.34 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 51.12/51.34 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 51.12/51.34 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 51.12/51.34 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 51.12/51.34 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 51.12/51.34 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 51.12/51.34 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 51.12/51.34 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 51.12/51.34 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 51.12/51.34 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 51.12/51.34 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 51.12/51.34 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 51.12/51.34 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 51.12/51.34 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 51.12/51.34 (assume @p74 @t53) % 51.12/51.34 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 51.12/51.34 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 51.12/51.34 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 51.12/51.34 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 51.12/51.34 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 51.12/51.34 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 51.12/51.34 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 51.12/51.34 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 51.12/51.34 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 51.12/51.34 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 51.12/51.34 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 51.12/51.34 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 51.12/51.34 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 51.12/51.34 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 51.12/51.34 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 51.12/51.34 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 51.12/51.34 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 51.12/51.34 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 51.12/51.34 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 51.12/51.34 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 51.12/51.34 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 51.12/51.34 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 51.12/51.34 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 51.12/51.34 (assume @p98 (forall @t41 (or @t47 @t62 @t71 @t70))) % 51.12/51.34 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 51.12/51.34 (assume @p100 @t74) % 51.12/51.34 (assume @p101 (forall @t41 (or @t77 @t72 @t46 @t75))) % 51.12/51.34 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 51.12/51.34 (assume @p103 (forall @t41 (or @t79 @t72 @t46 @t78))) % 51.12/51.34 (assume @p104 (forall @t41 (or @t77 @t46 @t72 @t80))) % 51.12/51.34 (assume @p105 (forall @t41 (or @t82 @t72 @t46 @t81))) % 51.12/51.34 (assume @p106 (forall @t41 (or @t84 @t46 @t72 @t83))) % 51.12/51.34 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 51.12/51.34 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t72))) % 51.12/51.34 (assume @p109 (forall @t41 (or @t86 @t77 @t72 @t46))) % 51.12/51.34 (assume @p110 (forall @t41 (or @t58 @t47 @t72 (tptp.strictorderedP @t87)))) % 51.12/51.34 (assume @p111 (forall @t41 (or @t58 @t47 @t72 (tptp.totalorderedP @t87)))) % 51.12/51.34 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t72))) % 51.12/51.34 (assume @p113 (forall @t41 (or @t86 @t88 @t62 @t47))) % 51.12/51.34 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 51.12/51.34 (assume @p115 (forall @t41 (or @t86 @t88 @t72 @t46))) % 51.12/51.34 (assume @p116 (forall @t41 (or @t91 @t62 @t47 @t54))) % 51.12/51.34 (assume @p117 (forall @t41 (or @t91 @t62 @t47 @t92))) % 51.12/51.34 (assume @p118 @t95) % 51.12/51.34 (assume @p119 (forall @t41 (or @t84 @t72 @t46 @t76 @t85))) % 51.12/51.34 (assume @p120 (forall @t41 (or @t47 @t62 @t92 (= (tptp.hd @t61) @t96)))) % 51.12/51.34 (assume @p121 (forall @t41 (or @t99 @t62 @t46 @t97 @t92))) % 51.12/51.34 (assume @p122 (forall @t41 (or @t102 @t62 @t46 @t100 @t92))) % 51.12/51.34 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t72 @t70))) % 51.12/51.34 (assume @p124 (forall @t41 (or @t103 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t70))) % 51.12/51.34 (assume @p125 (forall @t41 (or @t104 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t70))) % 51.12/51.34 (assume @p126 (forall @t41 (or @t105 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t70))) % 51.12/51.34 (assume @p127 (forall @t41 (or @t84 @t106 @t46 @t72 @t70))) % 51.12/51.34 (assume @p128 (forall @t41 (or @t104 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 51.12/51.34 (assume @p129 (forall @t41 (or @t105 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 51.12/51.34 (assume @p130 (forall @t41 (or @t47 @t62 @t92 (= (tptp.tl @t61) (tptp.app @t107 @t2))))) % 51.12/51.34 (assume @p131 (forall @t41 (or @t99 @t62 @t46 @t108 @t92))) % 51.12/51.34 (assume @p132 (forall @t41 (or @t102 @t62 @t46 @t109 @t92))) % 51.12/51.34 (assume @p133 (forall @t113 (or @t104 @t112 @t62 @t47 (tptp.rearsegP @t111 @t40)))) % 51.12/51.34 (assume @p134 (forall @t113 (or @t105 @t112 @t62 @t47 (tptp.frontsegP @t114 @t40)))) % 51.12/51.34 (assume @p135 (forall @t113 (or @t86 @t112 @t72 @t46 (tptp.memberP @t115 @t2)))) % 51.12/51.34 (assume @p136 (forall @t113 (or @t118 @t47 @t117 @t72 (tptp.memberP @t116 @t40)))) % 51.12/51.34 (assume @p137 (forall @t113 (or @t118 @t112 @t47 @t72 (tptp.memberP @t114 @t40)))) % 51.12/51.34 (assume @p138 (forall @t113 (or @t118 @t47 @t112 @t72 (tptp.memberP @t111 @t40)))) % 51.12/51.34 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 51.12/51.34 (assume @p140 (forall @t113 (or @t119 @t47 @t62 @t112 (tptp.rearsegP @t110 @t40)))) % 51.12/51.34 (assume @p141 (forall @t113 (or @t119 @t62 @t47 @t112 (tptp.frontsegP @t110 @t2)))) % 51.12/51.34 (assume @p142 (forall @t41 (or @t58 (not @t92) @t62 @t47 @t90))) % 51.12/51.34 (assume @p143 (forall @t113 (or @t79 (not (tptp.gt @t40 @t110)) @t117 @t72 @t46 (tptp.gt @t2 @t110)))) % 51.12/51.34 (assume @p144 (forall @t113 (or @t84 @t121 @t117 @t72 @t46 @t120))) % 51.12/51.34 (assume @p145 (forall @t113 (or @t82 (not (tptp.geq @t40 @t110)) @t117 @t72 @t46 (tptp.geq @t2 @t110)))) % 51.12/51.34 (assume @p146 (forall @t113 (or @t47 @t62 @t112 (= (tptp.app @t122 @t2) (tptp.app @t110 @t61))))) % 51.12/51.34 (assume @p147 (forall @t113 (or (not (= @t89 @t114)) @t62 @t47 @t112 @t123))) % 51.12/51.34 (assume @p148 (forall @t113 (or (not (= @t89 @t122)) @t47 @t62 @t112 @t124))) % 51.12/51.34 (assume @p149 (forall @t113 (or @t103 (not (tptp.segmentP @t40 @t110)) @t112 @t62 @t47 (tptp.segmentP @t2 @t110)))) % 51.12/51.34 (assume @p150 (forall @t113 (or @t104 (not (tptp.rearsegP @t40 @t110)) @t112 @t62 @t47 (tptp.rearsegP @t2 @t110)))) % 51.12/51.34 (assume @p151 (forall @t113 (or @t105 (not (tptp.frontsegP @t40 @t110)) @t112 @t62 @t47 (tptp.frontsegP @t2 @t110)))) % 51.12/51.34 (assume @p152 (forall @t113 (or @t77 @t121 @t117 @t72 @t46 @t120))) % 51.12/51.34 (assume @p153 (forall @t113 (or @t84 (not (tptp.leq @t40 @t110)) @t117 @t72 @t46 (tptp.leq @t2 @t110)))) % 51.12/51.34 (assume @p154 (forall @t113 (or @t46 @t62 @t112 (= (tptp.cons @t2 (tptp.app @t40 @t110)) (tptp.app @t63 @t110))))) % 51.12/51.34 (assume @p155 (forall @t113 (or (not (tptp.memberP @t89 @t110)) @t62 @t47 @t117 @t125 (tptp.memberP @t2 @t110)))) % 51.12/51.34 (assume @p156 (forall @t41 (or (not @t109) (not @t100) @t62 @t46 @t101 @t92))) % 51.12/51.34 (assume @p157 (forall @t41 (or (not @t108) (not @t97) @t62 @t46 @t98 @t92))) % 51.12/51.34 (assume @p158 (forall @t113 (or (not (tptp.memberP @t63 @t110)) @t62 @t46 @t117 @t125 (= @t110 @t2)))) % 51.12/51.34 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 51.12/51.34 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 51.12/51.34 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 51.12/51.34 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 51.12/51.34 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 51.12/51.34 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 51.12/51.34 (assume @p165 (forall @t41 (or @t103 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 51.12/51.34 (assume @p166 (forall @t41 (or @t118 @t72 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 51.12/51.34 (assume @p167 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 @t124))) % 51.12/51.34 (assume @p168 (forall @t130 (or @t129 @t117 @t46 @t127 @t62 (= @t126 @t40)))) % 51.12/51.34 (assume @p169 (forall @t130 (or @t103 @t112 @t127 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t126 @t2) @t110) @t40)))) % 51.12/51.34 (assume @p170 (forall @t130 (or (not (= (tptp.app @t89 @t110) @t126)) @t112 @t47 @t62 @t127 (tptp.segmentP @t126 @t40)))) % 51.12/51.34 (assume @p171 (forall @t130 (or @t131 @t127 @t62 @t117 @t46 (tptp.frontsegP @t40 @t126)))) % 51.12/51.34 (assume @p172 (forall @t130 (or (not (= @t132 @t126)) @t112 @t47 @t72 @t127 (tptp.memberP @t126 @t40)))) % 51.12/51.34 (assume @p173 (forall @t130 (or @t131 @t127 @t62 @t117 @t46 @t124))) % 51.12/51.34 (assume @p174 (forall @t41 (or (not (= @t55 @t107)) (not (= @t56 @t96)) @t47 @t62 @t92 @t85 @t54))) % 51.12/51.34 (assume @p175 (forall @t130 (or @t105 (not (= @t110 @t126)) @t62 @t47 @t133 @t117 (tptp.frontsegP @t116 (tptp.cons @t126 @t40))))) % 51.12/51.34 (assume @p176 (forall @t136 (or (not (= (tptp.app @t132 (tptp.cons @t40 @t126)) @t134)) @t127 @t112 @t47 @t72 (not (tptp.duplicatefreeP @t134)) @t135))) % 51.12/51.34 (assume @p177 (forall @t136 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t128)) @t134)) @t127 @t47 @t117 @t72 (not (tptp.equalelemsP @t134)) @t135 @t123))) % 51.12/51.34 (assume @p178 @t145) % 51.12/51.34 (assume @p179 (forall @t144 (or @t142 @t135 @t112 @t47 @t133 @t72 (not (tptp.totalorderedP @t138)) @t139 @t146))) % 51.12/51.34 (assume @p180 (forall @t144 (or @t142 @t135 @t112 @t47 @t133 @t72 (not (tptp.strictorderP @t138)) @t139 @t137 (tptp.lt @t126 @t40)))) % 51.12/51.34 (assume @p181 (forall @t144 (or @t142 @t135 @t112 @t47 @t133 @t72 (not (tptp.totalorderP @t138)) @t139 @t146 (tptp.leq @t126 @t40)))) % 51.12/51.34 (assume @p182 (forall @t144 (or @t84 @t106 (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))) % 51.12/51.34 (assume @p183 @t147) % 51.12/51.34 (assume @p184 (tptp.ssList tptp.sk2)) % 51.12/51.34 (assume @p185 (tptp.ssList tptp.sk3)) % 51.12/51.34 (assume @p186 (tptp.ssList tptp.sk4)) % 51.12/51.34 (assume @p187 (= tptp.sk2 tptp.sk4)) % 51.12/51.34 (assume @p188 (= tptp.sk1 tptp.sk3)) % 51.12/51.34 (assume @p189 (tptp.ssList tptp.sk5)) % 51.12/51.34 (assume @p190 (tptp.ssList tptp.sk6)) % 51.12/51.34 (assume @p191 (= (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6) tptp.sk4)) % 51.12/51.34 (assume @p192 @t148) % 51.12/51.34 (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))))) % 51.12/51.34 (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))))) % 51.12/51.34 (assume @p195 @t160) % 51.12/51.34 (assume @p196 @t161) % 51.12/51.34 (assume @p197 @t162) % 51.12/51.34 (assume @p198 @t163) % 51.12/51.34 (assume @p199 (= @t167 tptp.sk1)) % 51.12/51.34 (assume @p200 (not @t168)) % 51.12/51.34 (assume @p201 (or (= tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk3)))) % 51.12/51.34 (step @p202 :rule evaluate :args ((= true false))) % 51.12/51.34 (step @p203 :rule aci_norm :args ((= (or false @t135 @t112 @t47 @t133 @t72 @t170 @t169 @t137) (or @t135 @t112 @t47 @t133 @t72 @t170 @t169 @t137)))) % 51.12/51.34 (step @p204 :rule refl :args (@t137)) % 51.12/51.34 (step @p205 :rule refl :args (@t169)) % 51.12/51.34 (step @p206 :rule refl :args (@t170)) % 51.12/51.34 (step @p207 :rule refl :args (@t72)) % 51.12/51.34 (step @p208 :rule refl :args (@t133)) % 51.12/51.34 (step @p209 :rule refl :args (@t47)) % 51.12/51.34 (step @p210 :rule refl :args (@t112)) % 51.12/51.34 (step @p211 :rule refl :args (@t135)) % 51.12/51.34 (step @p212 :rule evaluate :args ((not true))) % 51.12/51.34 (step @p213 :rule eq-refl :args (@t141)) % 51.12/51.34 (step @p214 :rule cong :premises (@p213) :args (@t171)) % 51.12/51.34 (step @p215 :rule trans :premises (@p214 @p212)) % 51.12/51.34 (step @p216 :rule nary_cong :premises (@p215 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204) :args (@t172)) % 51.12/51.34 (step @p217 :rule trans :premises (@p216 @p203)) % 51.12/51.34 (step @p218 :rule cong :premises (@p217) :args ((forall @t136 @t172))) % 51.12/51.34 (step @p219 :rule quant-var-elim-eq :args ((= (forall @t175 @t174) @t172))) % 51.12/51.34 (step @p220 :rule aci_norm :args ((= @t176 @t174))) % 51.12/51.34 (step @p221 :rule cong :premises (@p220) :args (@t177)) % 51.12/51.34 (step @p222 :rule trans :premises (@p221 @p219)) % 51.12/51.34 (step @p223 :rule cong :premises (@p222) :args (@t178)) % 51.12/51.34 (step @p224 :rule quant-merge-prenex :args ((= @t178 (forall @t144 @t176)))) % 51.12/51.34 (step @p225 :rule symm :premises (@p224)) % 51.12/51.34 (step @p226 :rule trans :premises (@p225 @p223)) % 51.12/51.34 (step @p227 :rule trans :premises (@p226 @p218)) % 51.12/51.34 (step @p228 :rule refl :args (@t139)) % 51.12/51.34 (step @p229 :rule refl :args (@t140)) % 51.12/51.34 (step @p230 :rule eq-symm :args (@t141 @t138)) % 51.12/51.34 (step @p231 :rule cong :premises (@p230) :args (@t142)) % 51.12/51.34 (step @p232 :rule nary_cong :premises (@p231 @p211 @p210 @p209 @p208 @p207 @p229 @p228 @p204) :args (@t143)) % 51.12/51.34 (step @p233 :rule cong :premises (@p232) :args (@t145)) % 51.12/51.34 (step @p234 :rule trans :premises (@p233 @p227)) % 51.12/51.34 (step @p235 :rule eq_resolve :premises (@p178 @p234)) % 51.12/51.34 (step @p236 :rule instantiate :premises (@p235) :args ((@list tptp.sk9 tptp.sk7 tptp.nil tptp.sk7 tptp.sk10))) % 51.12/51.34 (step @p237 :rule symm :premises (@p199)) % 51.12/51.34 (step @p238 :rule cong :premises (@p237) :args (@t147)) % 51.12/51.34 (step @p239 :rule eq_resolve :premises (@p183 @p238)) % 51.12/51.34 (step @p240 :rule true_intro :premises (@p239)) % 51.12/51.34 (step @p241 :rule instantiate :premises (@p146) :args ((@list tptp.sk10 @t164 @t166))) % 51.12/51.34 (step @p242 :rule instantiate :premises (@p83) :args ((@list @t165 tptp.sk9))) % 51.12/51.34 (step @p243 :rule instantiate :premises (@p84) :args ((@list tptp.sk8 tptp.nil))) % 51.12/51.34 (step @p244 :rule cnf_or_pos :args (@t182)) % 51.12/51.34 (step @p245 :rule reordering :premises (@p244) :args ((or @t180 @t181 @t179 (not @t182)))) % 51.12/51.34 (step @p246 :rule chain_m_resolution :premises (@p245 @p8 @p196 @p243) :args (@t179 @t183 (@list @t1 @t161 @t182))) % 51.12/51.34 (step @p247 :rule true_intro :premises (@p246)) % 51.12/51.34 (step @p248 :rule refl :args (tptp.nil)) % 51.12/51.34 (step @p249 :rule eq-symm :args (@t40 @t2)) % 51.12/51.34 (step @p250 :rule refl :args (@t71)) % 51.12/51.34 (step @p251 :rule refl :args (@t46)) % 51.12/51.34 (step @p252 :rule nary_cong :premises (@p251 @p207 @p250 @p249) :args (@t73)) % 51.12/51.34 (step @p253 :rule cong :premises (@p252) :args (@t74)) % 51.12/51.34 (step @p254 :rule eq_resolve :premises (@p100 @p253)) % 51.12/51.34 (step @p255 :rule eq-symm :args (tptp.sk8 tptp.sk7)) % 51.12/51.34 (step @p256 :rule refl :args (@t168)) % 51.12/51.34 (step @p257 :rule refl :args (@t184)) % 51.12/51.34 (step @p258 :rule refl :args (@t181)) % 51.12/51.34 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256 @p255) :args (@t185)) % 51.12/51.34 (step @p260 :rule refl :args (@t186)) % 51.12/51.34 (step @p261 :rule cong :premises (@p260 @p259) :args ((=> @t186 @t185))) % 51.12/51.34 (assume-push @p348 @t186) % 51.12/51.34 (step @p263 :rule instantiate :premises (@p254) :args ((@list tptp.sk8 tptp.sk7))) % 51.12/51.34 (step-pop @p349 :rule scope :premises (@p263)) % 51.12/51.34 (step @p264 :rule process_scope :premises (@p349) :args (@t185)) % 51.12/51.34 (step @p266 :rule eq_resolve :premises (@p264 @p261)) % 51.12/51.34 (step @p267 :rule implies_elim :premises (@p266)) % 51.12/51.34 (step @p268 :rule chain_m_resolution :premises (@p267 @p254) :args (@t188 @t189 (@list @t186))) % 51.12/51.34 (step @p269 :rule cnf_or_pos :args (@t188)) % 51.12/51.34 (step @p270 :rule reordering :premises (@p269) :args ((or @t168 @t184 @t181 @t187 (not @t188)))) % 51.12/51.34 (step @p271 :rule chain_m_resolution :premises (@p270 @p200 @p195 @p196 @p268) :args (@t187 (@list true false false false) (@list @t168 @t160 @t161 @t188))) % 51.12/51.34 (step @p272 :rule cong :premises (@p271 @p248) :args (@t165)) % 51.12/51.34 (step @p273 :rule cong :premises (@p272) :args (@t190)) % 51.12/51.34 (step @p274 :rule trans :premises (@p273 @p247)) % 51.12/51.34 (step @p275 :rule true_elim :premises (@p274)) % 51.12/51.34 (step @p276 :rule cnf_or_pos :args (@t194)) % 51.12/51.34 (step @p277 :rule reordering :premises (@p276) :args ((or @t192 @t193 @t191 (not @t194)))) % 51.12/51.34 (step @p278 :rule chain_m_resolution :premises (@p277 @p197 @p275 @p242) :args (@t191 @t183 (@list @t162 @t190 @t194))) % 51.12/51.34 (step @p279 :rule cnf_or_pos :args (@t201)) % 51.12/51.34 (step @p280 :rule reordering :premises (@p279) :args ((or @t200 @t199 @t198 @t197 (not @t201)))) % 51.12/51.34 (step @p281 :rule chain_m_resolution :premises (@p280 @p198 @p246 @p278 @p241) :args (@t197 (@list false false false false) (@list @t163 @t179 @t191 @t201))) % 51.12/51.34 (step @p282 :rule symm :premises (@p281)) % 51.12/51.34 (step @p283 :rule eq-symm :args (@t93 @t63)) % 51.12/51.34 (step @p284 :rule refl :args (@t62)) % 51.12/51.34 (step @p285 :rule nary_cong :premises (@p251 @p284 @p283) :args (@t94)) % 51.12/51.34 (step @p286 :rule cong :premises (@p285) :args (@t95)) % 51.12/51.34 (step @p287 :rule eq_resolve :premises (@p118 @p286)) % 51.12/51.34 (step @p288 :rule eq-symm :args (@t202 @t195)) % 51.12/51.34 (step @p289 :rule refl :args (@t200)) % 51.12/51.34 (step @p290 :rule nary_cong :premises (@p258 @p289 @p288) :args (@t203)) % 51.12/51.34 (step @p291 :rule refl :args (@t204)) % 51.12/51.34 (step @p292 :rule cong :premises (@p291 @p290) :args ((=> @t204 @t203))) % 51.12/51.34 (assume-push @p350 @t204) % 51.12/51.34 (step @p294 :rule instantiate :premises (@p287) :args ((@list tptp.sk8 tptp.sk10))) % 51.12/51.34 (step-pop @p351 :rule scope :premises (@p294)) % 51.12/51.34 (step @p295 :rule process_scope :premises (@p351) :args (@t203)) % 51.12/51.34 (step @p297 :rule eq_resolve :premises (@p295 @p292)) % 51.12/51.34 (step @p298 :rule implies_elim :premises (@p297)) % 51.12/51.34 (step @p299 :rule chain_m_resolution :premises (@p298 @p287) :args (@t206 @t189 (@list @t204))) % 51.12/51.34 (step @p300 :rule cnf_or_pos :args (@t206)) % 51.12/51.34 (step @p301 :rule reordering :premises (@p300) :args ((or @t181 @t200 @t205 (not @t206)))) % 51.12/51.34 (step @p302 :rule chain_m_resolution :premises (@p301 @p196 @p198 @p299) :args (@t205 @t183 (@list @t161 @t163 @t206))) % 51.12/51.34 (step @p303 :rule symm :premises (@p302)) % 51.12/51.34 (step @p304 :rule eq-symm :args (@t51 @t2)) % 51.12/51.34 (step @p305 :rule nary_cong :premises (@p209 @p304) :args (@t52)) % 51.12/51.34 (step @p306 :rule cong :premises (@p305) :args (@t53)) % 51.12/51.34 (step @p307 :rule eq_resolve :premises (@p74 @p306)) % 51.12/51.34 (step @p308 :rule instantiate :premises (@p307) :args ((@list tptp.sk10))) % 51.12/51.34 (step @p309 :rule cnf_or_pos :args (@t209)) % 51.12/51.34 (step @p310 :rule reordering :premises (@p309) :args ((or @t200 @t208 (not @t209)))) % 51.12/51.34 (step @p311 :rule chain_m_resolution :premises (@p310 @p198 @p308) :args (@t208 @t210 (@list @t163 @t209))) % 51.12/51.34 (step @p312 :rule symm :premises (@p311)) % 51.12/51.34 (step @p313 :rule refl :args (tptp.sk8)) % 51.12/51.34 (step @p314 :rule cong :premises (@p313 @p312) :args (@t211)) % 51.12/51.34 (step @p315 :rule cong :premises (@p271 @p311) :args (@t212)) % 51.12/51.34 (step @p316 :rule trans :premises (@p315 @p314 @p303)) % 51.12/51.34 (step @p317 :rule refl :args (@t166)) % 51.12/51.34 (step @p318 :rule cong :premises (@p317 @p316) :args (@t213)) % 51.12/51.34 (step @p319 :rule trans :premises (@p318 @p282)) % 51.12/51.34 (step @p320 :rule cong :premises (@p319) :args (@t214)) % 51.12/51.34 (step @p321 :rule trans :premises (@p320 @p240)) % 51.12/51.34 (step @p322 :rule true_elim :premises (@p321)) % 51.12/51.34 (step @p323 :rule instantiate :premises (@p63) :args ((@list tptp.sk7))) % 51.12/51.34 (step @p324 :rule cnf_or_pos :args (@t217)) % 51.12/51.34 (step @p325 :rule reordering :premises (@p324) :args ((or @t184 @t216 (not @t217)))) % 51.12/51.34 (step @p326 :rule chain_m_resolution :premises (@p325 @p195 @p323) :args (@t216 @t210 (@list @t160 @t217))) % 51.12/51.34 (step @p327 :rule cnf_or_pos :args (@t220)) % 51.12/51.34 (step @p328 :rule factoring :premises (@p327)) % 51.12/51.34 (step @p329 :rule reordering :premises (@p328) :args ((or @t180 @t184 @t192 @t200 @t215 @t218 @t219 (not @t220)))) % 51.12/51.34 (step @p330 :rule chain_m_resolution :premises (@p329 @p8 @p195 @p197 @p198 @p326 @p322 @p236) :args (@t219 (@list false false false false true false false) (@list @t1 @t160 @t162 @t163 @t215 @t214 @t220))) % 51.12/51.34 (step @p331 :rule false_intro :premises (@p330)) % 51.12/51.34 (step @p332 :rule symm :premises (@p271)) % 51.12/51.34 (step @p333 :rule cong :premises (@p332 @p312) :args (@t211)) % 51.12/51.34 (step @p334 :rule cong :premises (@p313 @p311) :args (@t202)) % 51.12/51.34 (step @p335 :rule trans :premises (@p302 @p334 @p333)) % 51.12/51.34 (step @p336 :rule cong :premises (@p317 @p335) :args (@t196)) % 51.12/51.34 (step @p337 :rule trans :premises (@p281 @p336)) % 51.12/51.34 (step @p338 :rule cong :premises (@p337) :args ((tptp.strictorderedP @t167))) % 51.12/51.34 (step @p339 :rule refl :args (@t167)) % 51.12/51.34 (step @p340 :rule cong :premises (@p188 @p339) :args ((= tptp.sk1 @t167))) % 51.12/51.34 (step @p341 :rule eq_resolve :premises (@p237 @p340)) % 51.12/51.34 (step @p342 :rule cong :premises (@p341) :args (@t148)) % 51.12/51.34 (step @p343 :rule eq_resolve :premises (@p192 @p342)) % 51.12/51.34 (step @p344 :rule true_intro :premises (@p343)) % 51.12/51.34 (step @p345 :rule symm :premises (@p344)) % 51.12/51.34 (step @p346 :rule trans :premises (@p345 @p338 @p331)) % 51.12/51.34 (step @p347 false :rule eq_resolve :premises (@p346 @p202)) % 51.12/51.34 ) % 51.12/51.34 % SZS output end Proof % 51.12/51.34 % cvc5 exiting %------------------------------------------------------------------------------