%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC093-1 : 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 : n009.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 08:58:01 AM UTC 2026 % Result : Unsatisfiable 70.73s 71.02s % Output : Proof 70.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC093-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.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 19:14:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/15.93 --- Run --no-e-matching --full-saturate-quant at 6... % 21.73/21.97 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.73/28.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.86/34.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.96/64.17 --- Run --trigger-sel=max --full-saturate-quant at 15... % 70.73/71.02 % SZS status Unsatisfiable % 70.73/71.02 % SZS output start Proof % 70.86/71.04 ( % 70.86/71.04 (declare-sort $$unsorted 0) % 70.86/71.04 (declare-const tptp.sk4 $$unsorted) % 70.86/71.04 (declare-const tptp.sk2 $$unsorted) % 70.86/71.04 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.sk5 $$unsorted) % 70.86/71.04 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.nil $$unsorted) % 70.86/71.04 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.sk1 $$unsorted) % 70.86/71.04 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skac2 $$unsorted) % 70.86/71.04 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.sk3 $$unsorted) % 70.86/71.04 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.ssList (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skac3 $$unsorted) % 70.86/71.04 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 70.86/71.04 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 70.86/71.04 (define @t1 () (tptp.ssList tptp.nil)) % 70.86/71.04 (define @t2 () (@var "U" $$unsorted)) % 70.86/71.04 (define @t3 () (tptp.skaf83 @t2)) % 70.86/71.04 (define @t4 () (@list @t2)) % 70.86/71.04 (define @t5 () (tptp.skaf82 @t2)) % 70.86/71.04 (define @t6 () (tptp.skaf81 @t2)) % 70.86/71.04 (define @t7 () (tptp.skaf80 @t2)) % 70.86/71.04 (define @t8 () (tptp.skaf79 @t2)) % 70.86/71.04 (define @t9 () (tptp.skaf78 @t2)) % 70.86/71.04 (define @t10 () (tptp.skaf77 @t2)) % 70.86/71.04 (define @t11 () (tptp.skaf76 @t2)) % 70.86/71.04 (define @t12 () (tptp.skaf75 @t2)) % 70.86/71.04 (define @t13 () (tptp.skaf74 @t2)) % 70.86/71.04 (define @t14 () (tptp.skaf73 @t2)) % 70.86/71.04 (define @t15 () (tptp.skaf72 @t2)) % 70.86/71.04 (define @t16 () (tptp.skaf71 @t2)) % 70.86/71.04 (define @t17 () (tptp.skaf70 @t2)) % 70.86/71.04 (define @t18 () (tptp.skaf69 @t2)) % 70.86/71.04 (define @t19 () (tptp.skaf68 @t2)) % 70.86/71.04 (define @t20 () (tptp.skaf67 @t2)) % 70.86/71.04 (define @t21 () (tptp.skaf66 @t2)) % 70.86/71.04 (define @t22 () (tptp.skaf65 @t2)) % 70.86/71.04 (define @t23 () (tptp.skaf64 @t2)) % 70.86/71.04 (define @t24 () (tptp.skaf63 @t2)) % 70.86/71.04 (define @t25 () (tptp.skaf62 @t2)) % 70.86/71.04 (define @t26 () (tptp.skaf61 @t2)) % 70.86/71.04 (define @t27 () (tptp.skaf60 @t2)) % 70.86/71.04 (define @t28 () (tptp.skaf59 @t2)) % 70.86/71.04 (define @t29 () (tptp.skaf58 @t2)) % 70.86/71.04 (define @t30 () (tptp.skaf57 @t2)) % 70.86/71.04 (define @t31 () (tptp.skaf56 @t2)) % 70.86/71.04 (define @t32 () (tptp.skaf55 @t2)) % 70.86/71.04 (define @t33 () (tptp.skaf54 @t2)) % 70.86/71.04 (define @t34 () (tptp.skaf53 @t2)) % 70.86/71.04 (define @t35 () (tptp.skaf52 @t2)) % 70.86/71.04 (define @t36 () (tptp.skaf51 @t2)) % 70.86/71.04 (define @t37 () (tptp.skaf50 @t2)) % 70.86/71.04 (define @t38 () (tptp.skaf49 @t2)) % 70.86/71.04 (define @t39 () (tptp.skaf44 @t2)) % 70.86/71.04 (define @t40 () (@var "V" $$unsorted)) % 70.86/71.04 (define @t41 () (@list @t2 @t40)) % 70.86/71.04 (define @t42 () (tptp.skaf47 @t2 @t40)) % 70.86/71.04 (define @t43 () (tptp.skaf46 @t2 @t40)) % 70.86/71.04 (define @t44 () (tptp.skaf45 @t2 @t40)) % 70.86/71.04 (define @t45 () (tptp.skaf42 @t2 @t40)) % 70.86/71.04 (define @t46 () (not (tptp.ssItem @t2))) % 70.86/71.04 (define @t47 () (not (tptp.ssList @t2))) % 70.86/71.04 (define @t48 () (tptp.cons @t2 tptp.nil)) % 70.86/71.04 (define @t49 () (tptp.ssItem @t40)) % 70.86/71.04 (define @t50 () (tptp.duplicatefreeP @t2)) % 70.86/71.04 (define @t51 () (tptp.app @t2 tptp.nil)) % 70.86/71.04 (define @t52 () (or @t47 (= @t51 @t2))) % 70.86/71.04 (define @t53 () (forall @t4 @t52)) % 70.86/71.04 (define @t54 () (= tptp.nil @t2)) % 70.86/71.04 (define @t55 () (tptp.tl @t2)) % 70.86/71.04 (define @t56 () (tptp.hd @t2)) % 70.86/71.04 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 70.86/71.04 (define @t58 () (not @t54)) % 70.86/71.04 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 70.86/71.04 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 70.86/71.04 (define @t61 () (tptp.app @t40 @t2)) % 70.86/71.04 (define @t62 () (not (tptp.ssList @t40))) % 70.86/71.04 (define @t63 () (tptp.cons @t2 @t40)) % 70.86/71.04 (define @t64 () (tptp.cyclefreeP @t2)) % 70.86/71.04 (define @t65 () (tptp.equalelemsP @t2)) % 70.86/71.04 (define @t66 () (tptp.strictorderedP @t2)) % 70.86/71.04 (define @t67 () (tptp.totalorderedP @t2)) % 70.86/71.04 (define @t68 () (tptp.strictorderP @t2)) % 70.86/71.04 (define @t69 () (tptp.totalorderP @t2)) % 70.86/71.04 (define @t70 () (not (= @t63 tptp.nil))) % 70.86/71.04 (define @t71 () (or @t70 @t46 @t62)) % 70.86/71.04 (define @t72 () (forall @t41 @t71)) % 70.86/71.04 (define @t73 () (= @t40 @t2)) % 70.86/71.04 (define @t74 () (tptp.neq @t40 @t2)) % 70.86/71.04 (define @t75 () (or @t47 @t62 @t74 @t73)) % 70.86/71.04 (define @t76 () (forall @t41 @t75)) % 70.86/71.04 (define @t77 () (not @t49)) % 70.86/71.04 (define @t78 () (tptp.leq @t2 @t40)) % 70.86/71.04 (define @t79 () (tptp.lt @t2 @t40)) % 70.86/71.04 (define @t80 () (not @t79)) % 70.86/71.04 (define @t81 () (tptp.lt @t40 @t2)) % 70.86/71.04 (define @t82 () (not (tptp.gt @t2 @t40))) % 70.86/71.04 (define @t83 () (tptp.gt @t40 @t2)) % 70.86/71.04 (define @t84 () (tptp.leq @t40 @t2)) % 70.86/71.04 (define @t85 () (not (tptp.geq @t2 @t40))) % 70.86/71.04 (define @t86 () (tptp.geq @t40 @t2)) % 70.86/71.04 (define @t87 () (not @t78)) % 70.86/71.04 (define @t88 () (tptp.cons @t3 @t5)) % 70.86/71.04 (define @t89 () (or @t47 (= @t88 @t2) @t54)) % 70.86/71.04 (define @t90 () (forall @t4 @t89)) % 70.86/71.04 (define @t91 () (= @t2 @t40)) % 70.86/71.04 (define @t92 () (not @t91)) % 70.86/71.04 (define @t93 () (tptp.cons @t40 @t2)) % 70.86/71.04 (define @t94 () (not (tptp.neq @t2 @t40))) % 70.86/71.04 (define @t95 () (tptp.app @t2 @t40)) % 70.86/71.04 (define @t96 () (= @t95 tptp.nil)) % 70.86/71.04 (define @t97 () (not @t96)) % 70.86/71.04 (define @t98 () (= tptp.nil @t40)) % 70.86/71.04 (define @t99 () (tptp.app @t48 @t40)) % 70.86/71.04 (define @t100 () (or @t46 @t62 (= @t99 @t63))) % 70.86/71.04 (define @t101 () (forall @t41 @t100)) % 70.86/71.04 (define @t102 () (tptp.hd @t40)) % 70.86/71.04 (define @t103 () (tptp.strictorderedP @t40)) % 70.86/71.04 (define @t104 () (tptp.strictorderedP @t63)) % 70.86/71.04 (define @t105 () (not @t104)) % 70.86/71.04 (define @t106 () (tptp.totalorderedP @t40)) % 70.86/71.04 (define @t107 () (tptp.totalorderedP @t63)) % 70.86/71.04 (define @t108 () (not @t107)) % 70.86/71.04 (define @t109 () (not (tptp.segmentP @t2 @t40))) % 70.86/71.04 (define @t110 () (not (tptp.rearsegP @t2 @t40))) % 70.86/71.04 (define @t111 () (not (tptp.frontsegP @t2 @t40))) % 70.86/71.04 (define @t112 () (not @t84)) % 70.86/71.04 (define @t113 () (tptp.tl @t40)) % 70.86/71.04 (define @t114 () (tptp.lt @t2 @t102)) % 70.86/71.04 (define @t115 () (tptp.leq @t2 @t102)) % 70.86/71.04 (define @t116 () (@var "W" $$unsorted)) % 70.86/71.04 (define @t117 () (tptp.app @t116 @t2)) % 70.86/71.04 (define @t118 () (not (tptp.ssList @t116))) % 70.86/71.04 (define @t119 () (@list @t2 @t40 @t116)) % 70.86/71.04 (define @t120 () (tptp.app @t2 @t116)) % 70.86/71.04 (define @t121 () (tptp.cons @t40 @t116)) % 70.86/71.04 (define @t122 () (tptp.cons @t116 @t2)) % 70.86/71.04 (define @t123 () (not (tptp.ssItem @t116))) % 70.86/71.04 (define @t124 () (not (tptp.memberP @t2 @t40))) % 70.86/71.04 (define @t125 () (not (= @t95 @t116))) % 70.86/71.04 (define @t126 () (tptp.lt @t2 @t116)) % 70.86/71.04 (define @t127 () (not (tptp.lt @t40 @t116))) % 70.86/71.04 (define @t128 () (tptp.app @t116 @t40)) % 70.86/71.04 (define @t129 () (= @t40 @t116)) % 70.86/71.04 (define @t130 () (= @t2 @t116)) % 70.86/71.04 (define @t131 () (tptp.memberP @t40 @t116)) % 70.86/71.04 (define @t132 () (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2))) % 70.86/71.04 (define @t133 () (or @t109 @t62 @t47 (= @t132 @t2))) % 70.86/71.04 (define @t134 () (forall @t41 @t133)) % 70.86/71.04 (define @t135 () (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2)))) % 70.86/71.04 (define @t136 () (or @t124 @t77 @t47 (= @t135 @t2))) % 70.86/71.04 (define @t137 () (forall @t41 @t136)) % 70.86/71.04 (define @t138 () (@var "X" $$unsorted)) % 70.86/71.04 (define @t139 () (not (tptp.ssList @t138))) % 70.86/71.04 (define @t140 () (tptp.cons @t116 @t138)) % 70.86/71.04 (define @t141 () (not (= @t63 @t140))) % 70.86/71.04 (define @t142 () (@list @t2 @t40 @t116 @t138)) % 70.86/71.04 (define @t143 () (tptp.segmentP @t138 @t40)) % 70.86/71.04 (define @t144 () (tptp.app @t95 @t116)) % 70.86/71.04 (define @t145 () (not (= @t144 @t138))) % 70.86/71.04 (define @t146 () (or @t145 @t118 @t47 @t62 @t139 @t143)) % 70.86/71.04 (define @t147 () (forall @t142 @t146)) % 70.86/71.04 (define @t148 () (not (tptp.frontsegP @t63 @t140))) % 70.86/71.04 (define @t149 () (tptp.app @t2 @t121)) % 70.86/71.04 (define @t150 () (not (tptp.ssItem @t138))) % 70.86/71.04 (define @t151 () (@var "Y" $$unsorted)) % 70.86/71.04 (define @t152 () (not (tptp.ssList @t151))) % 70.86/71.04 (define @t153 () (@list @t2 @t40 @t116 @t138 @t151)) % 70.86/71.04 (define @t154 () (tptp.lt @t40 @t138)) % 70.86/71.04 (define @t155 () (@var "Z" $$unsorted)) % 70.86/71.04 (define @t156 () (not (tptp.ssList @t155))) % 70.86/71.04 (define @t157 () (not (= (tptp.app @t149 (tptp.cons @t138 @t151)) @t155))) % 70.86/71.04 (define @t158 () (@list @t2 @t40 @t116 @t138 @t151 @t155)) % 70.86/71.04 (define @t159 () (tptp.leq @t40 @t138)) % 70.86/71.04 (define @t160 () (tptp.ssList tptp.sk3)) % 70.86/71.04 (define @t161 () (tptp.ssList tptp.sk4)) % 70.86/71.04 (define @t162 () (tptp.neq tptp.sk2 tptp.nil)) % 70.86/71.04 (define @t163 () (@var "A" $$unsorted)) % 70.86/71.04 (define @t164 () (tptp.segmentP tptp.sk1 @t163)) % 70.86/71.04 (define @t165 () (not @t164)) % 70.86/71.04 (define @t166 () (tptp.segmentP tptp.sk2 @t163)) % 70.86/71.04 (define @t167 () (not @t166)) % 70.86/71.04 (define @t168 () (not (tptp.neq @t163 tptp.nil))) % 70.86/71.04 (define @t169 () (not (tptp.ssList @t163))) % 70.86/71.04 (define @t170 () (or @t169 @t168 @t167 @t165)) % 70.86/71.04 (define @t171 () (forall (@list @t163) @t170)) % 70.86/71.04 (define @t172 () (= tptp.nil tptp.sk4)) % 70.86/71.04 (define @t173 () (not @t172)) % 70.86/71.04 (define @t174 () (= tptp.nil tptp.sk3)) % 70.86/71.04 (define @t175 () (tptp.neq tptp.sk4 tptp.nil)) % 70.86/71.04 (define @t176 () (not @t175)) % 70.86/71.04 (define @t177 () (tptp.ssItem tptp.sk5)) % 70.86/71.04 (define @t178 () (tptp.cons tptp.sk5 tptp.nil)) % 70.86/71.04 (define @t179 () (or (= @t178 tptp.sk3) @t176)) % 70.86/71.04 (define @t180 () (tptp.memberP tptp.sk4 tptp.sk5)) % 70.86/71.04 (define @t181 () (tptp.skaf42 tptp.sk4 tptp.sk5)) % 70.86/71.04 (define @t182 () (tptp.skaf43 tptp.sk5 tptp.sk4)) % 70.86/71.04 (define @t183 () (tptp.skaf48 tptp.sk3 tptp.sk3)) % 70.86/71.04 (define @t184 () (tptp.app @t183 @t182)) % 70.86/71.04 (define @t185 () (tptp.skaf47 tptp.sk3 tptp.sk3)) % 70.86/71.04 (define @t186 () (tptp.app @t185 tptp.sk3)) % 70.86/71.04 (define @t187 () (tptp.app @t186 @t184)) % 70.86/71.04 (define @t188 () (tptp.segmentP @t144 @t40)) % 70.86/71.04 (define @t189 () (not (tptp.ssList @t144))) % 70.86/71.04 (define @t190 () (not (= @t144 @t144))) % 70.86/71.04 (define @t191 () (or @t190 @t118 @t47 @t62 @t189 @t188)) % 70.86/71.04 (define @t192 () (not (= @t138 @t144))) % 70.86/71.04 (define @t193 () (or @t192 @t192 @t118 @t47 @t62 @t139 @t143)) % 70.86/71.04 (define @t194 () (@list @t138)) % 70.86/71.04 (define @t195 () (or @t192 @t118 @t47 @t62 @t139 @t143)) % 70.86/71.04 (define @t196 () (forall @t194 @t195)) % 70.86/71.04 (define @t197 () (forall @t119 @t196)) % 70.86/71.04 (define @t198 () (@list tptp.sk5 @t182)) % 70.86/71.04 (define @t199 () (@list false)) % 70.86/71.04 (define @t200 () (@list @t175)) % 70.86/71.04 (define @t201 () (tptp.cons tptp.sk5 @t182)) % 70.86/71.04 (define @t202 () (tptp.ssList @t201)) % 70.86/71.04 (define @t203 () (tptp.ssList @t182)) % 70.86/71.04 (define @t204 () (not @t203)) % 70.86/71.04 (define @t205 () (not @t177)) % 70.86/71.04 (define @t206 () (or @t205 @t204 @t202)) % 70.86/71.04 (define @t207 () (@list false false false)) % 70.86/71.04 (define @t208 () (tptp.app @t178 @t182)) % 70.86/71.04 (define @t209 () (= @t201 @t208)) % 70.86/71.04 (define @t210 () (or @t205 @t204 @t209)) % 70.86/71.04 (define @t211 () (= tptp.sk3 @t178)) % 70.86/71.04 (define @t212 () (@list tptp.sk3 tptp.sk3)) % 70.86/71.04 (define @t213 () (@list tptp.sk3)) % 70.86/71.04 (define @t214 () (tptp.segmentP tptp.sk3 tptp.sk3)) % 70.86/71.04 (define @t215 () (not @t160)) % 70.86/71.04 (define @t216 () (or @t215 @t214)) % 70.86/71.04 (define @t217 () (@list false false)) % 70.86/71.04 (define @t218 () (tptp.app @t186 @t183)) % 70.86/71.04 (define @t219 () (= tptp.sk3 @t218)) % 70.86/71.04 (define @t220 () (not @t214)) % 70.86/71.04 (define @t221 () (or @t220 @t215 @t215 @t219)) % 70.86/71.04 (define @t222 () (tptp.app @t218 @t182)) % 70.86/71.04 (define @t223 () (tptp.ssList @t186)) % 70.86/71.04 (define @t224 () (tptp.ssList @t185)) % 70.86/71.04 (define @t225 () (not @t224)) % 70.86/71.04 (define @t226 () (or @t215 @t225 @t223)) % 70.86/71.04 (define @t227 () (= @t222 @t187)) % 70.86/71.04 (define @t228 () (not @t223)) % 70.86/71.04 (define @t229 () (tptp.ssList @t183)) % 70.86/71.04 (define @t230 () (not @t229)) % 70.86/71.04 (define @t231 () (or @t204 @t230 @t228 @t227)) % 70.86/71.04 (define @t232 () (@list false false false false)) % 70.86/71.04 (define @t233 () (tptp.ssList @t187)) % 70.86/71.04 (define @t234 () (tptp.ssList @t184)) % 70.86/71.04 (define @t235 () (or @t204 @t230 @t234)) % 70.86/71.04 (define @t236 () (tptp.segmentP @t187 tptp.sk3)) % 70.86/71.04 (define @t237 () (not @t233)) % 70.86/71.04 (define @t238 () (not @t234)) % 70.86/71.04 (define @t239 () (or @t238 @t225 @t215 @t237 @t236)) % 70.86/71.04 (define @t240 () (@list tptp.sk4 tptp.sk5)) % 70.86/71.04 (define @t241 () (tptp.segmentP (tptp.app (tptp.app @t181 @t187) tptp.nil) tptp.sk3)) % 70.86/71.04 (define @t242 () (tptp.ssList @t181)) % 70.86/71.04 (define @t243 () (not @t242)) % 70.86/71.04 (define @t244 () (not @t1)) % 70.86/71.04 (define @t245 () (not @t236)) % 70.86/71.04 (define @t246 () (or @t245 @t244 @t243 @t215 @t237 @t241)) % 70.86/71.04 (define @t247 () (tptp.app @t181 @t201)) % 70.86/71.04 (define @t248 () (= tptp.sk4 @t247)) % 70.86/71.04 (define @t249 () (not @t161)) % 70.86/71.04 (define @t250 () (not @t180)) % 70.86/71.04 (define @t251 () (or @t250 @t205 @t249 @t248)) % 70.86/71.04 (define @t252 () (@list tptp.sk4)) % 70.86/71.04 (define @t253 () (not (= tptp.nil @t178))) % 70.86/71.04 (define @t254 () (or @t253 @t205 @t244)) % 70.86/71.04 (define @t255 () (tptp.cons (tptp.skaf83 tptp.sk4) (tptp.skaf82 tptp.sk4))) % 70.86/71.04 (define @t256 () (= tptp.sk4 @t255)) % 70.86/71.04 (define @t257 () (or @t249 @t256 @t172)) % 70.86/71.04 (define @t258 () (tptp.app tptp.sk4 tptp.nil)) % 70.86/71.04 (define @t259 () (= tptp.sk4 @t258)) % 70.86/71.04 (define @t260 () (or @t249 @t259)) % 70.86/71.04 (define @t261 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 70.86/71.04 (define @t262 () (tptp.neq tptp.sk3 tptp.nil)) % 70.86/71.04 (define @t263 () (or @t244 @t215 @t262 @t174)) % 70.86/71.04 (define @t264 () (not @t261)) % 70.86/71.04 (define @t265 () (not @t262)) % 70.86/71.04 (define @t266 () (or @t215 @t265 @t264 @t220)) % 70.86/71.04 (assume @p1 (tptp.equalelemsP tptp.nil)) % 70.86/71.04 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 70.86/71.04 (assume @p3 (tptp.strictorderedP tptp.nil)) % 70.86/71.04 (assume @p4 (tptp.totalorderedP tptp.nil)) % 70.86/71.04 (assume @p5 (tptp.strictorderP tptp.nil)) % 70.86/71.04 (assume @p6 (tptp.totalorderP tptp.nil)) % 70.86/71.04 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 70.86/71.04 (assume @p8 @t1) % 70.86/71.04 (assume @p9 (tptp.ssItem tptp.skac3)) % 70.86/71.04 (assume @p10 (tptp.ssItem tptp.skac2)) % 70.86/71.04 (assume @p11 (not (tptp.singletonP tptp.nil))) % 70.86/71.04 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 70.86/71.04 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 70.86/71.04 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 70.86/71.04 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 70.86/71.04 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 70.86/71.04 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 70.86/71.04 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 70.86/71.04 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 70.86/71.04 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 70.86/71.04 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 70.86/71.04 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 70.86/71.04 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 70.86/71.04 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 70.86/71.04 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 70.86/71.04 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 70.86/71.04 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 70.86/71.04 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 70.86/71.04 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 70.86/71.04 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 70.86/71.04 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 70.86/71.04 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 70.86/71.04 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 70.86/71.04 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 70.86/71.04 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 70.86/71.04 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 70.86/71.04 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 70.86/71.04 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 70.86/71.04 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 70.86/71.04 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 70.86/71.04 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 70.86/71.04 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 70.86/71.04 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 70.86/71.04 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 70.86/71.04 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 70.86/71.04 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 70.86/71.04 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 70.86/71.04 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 70.86/71.04 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 70.86/71.04 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 70.86/71.04 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 70.86/71.04 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 70.86/71.04 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 70.86/71.04 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 70.86/71.04 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 70.86/71.04 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 70.86/71.04 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 70.86/71.04 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 70.86/71.04 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 70.86/71.04 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 70.86/71.04 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 70.86/71.04 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 70.86/71.04 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 70.86/71.04 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 70.86/71.04 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 70.86/71.04 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 70.86/71.04 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 70.86/71.04 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 70.86/71.04 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 70.86/71.04 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 70.86/71.04 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 70.86/71.04 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 70.86/71.04 (assume @p73 @t53) % 70.86/71.04 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 70.86/71.04 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 70.86/71.04 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 70.86/71.04 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 70.86/71.04 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 70.86/71.04 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 70.86/71.04 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 70.86/71.04 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 70.86/71.04 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 70.86/71.04 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 70.86/71.04 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 70.86/71.04 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 70.86/71.04 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 70.86/71.04 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 70.86/71.04 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 70.86/71.04 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 70.86/71.04 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 70.86/71.04 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 70.86/71.04 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 70.86/71.04 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 70.86/71.04 (assume @p94 (forall @t41 (or @t46 @t62 (= (tptp.tl @t63) @t40)))) % 70.86/71.04 (assume @p95 (forall @t41 (or @t46 @t62 (= (tptp.hd @t63) @t2)))) % 70.86/71.04 (assume @p96 @t72) % 70.86/71.04 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 70.86/71.04 (assume @p98 @t76) % 70.86/71.04 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 70.86/71.04 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 70.86/71.04 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 70.86/71.04 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 70.86/71.04 (assume @p103 (forall @t41 (or @t82 @t77 @t46 @t81))) % 70.86/71.04 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t83))) % 70.86/71.04 (assume @p105 (forall @t41 (or @t85 @t77 @t46 @t84))) % 70.86/71.04 (assume @p106 (forall @t41 (or @t87 @t46 @t77 @t86))) % 70.86/71.04 (assume @p107 @t90) % 70.86/71.04 (assume @p108 (forall @t41 (or @t82 (not @t83) @t46 @t77))) % 70.86/71.04 (assume @p109 (forall @t41 (or @t92 @t80 @t77 @t46))) % 70.86/71.04 (assume @p110 (forall @t41 (or @t58 @t47 @t77 (tptp.strictorderedP @t93)))) % 70.86/71.04 (assume @p111 (forall @t41 (or @t58 @t47 @t77 (tptp.totalorderedP @t93)))) % 70.86/71.04 (assume @p112 (forall @t41 (or @t80 (not @t81) @t46 @t77))) % 70.86/71.04 (assume @p113 (forall @t41 (or @t92 @t94 @t62 @t47))) % 70.86/71.04 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 70.86/71.04 (assume @p115 (forall @t41 (or @t92 @t94 @t77 @t46))) % 70.86/71.04 (assume @p116 (forall @t41 (or @t97 @t62 @t47 @t54))) % 70.86/71.04 (assume @p117 (forall @t41 (or @t97 @t62 @t47 @t98))) % 70.86/71.04 (assume @p118 @t101) % 70.86/71.04 (assume @p119 (forall @t41 (or @t87 @t77 @t46 @t79 @t91))) % 70.86/71.04 (assume @p120 (forall @t41 (or @t47 @t62 @t98 (= (tptp.hd @t61) @t102)))) % 70.86/71.04 (assume @p121 (forall @t41 (or @t105 @t62 @t46 @t103 @t98))) % 70.86/71.04 (assume @p122 (forall @t41 (or @t108 @t62 @t46 @t106 @t98))) % 70.86/71.04 (assume @p123 (forall @t41 (or @t85 (not @t86) @t46 @t77 @t73))) % 70.86/71.04 (assume @p124 (forall @t41 (or @t109 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t73))) % 70.86/71.04 (assume @p125 (forall @t41 (or @t110 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t73))) % 70.86/71.04 (assume @p126 (forall @t41 (or @t111 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t73))) % 70.86/71.04 (assume @p127 (forall @t41 (or @t87 @t112 @t46 @t77 @t73))) % 70.86/71.04 (assume @p128 (forall @t41 (or @t110 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 70.86/71.04 (assume @p129 (forall @t41 (or @t111 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 70.86/71.04 (assume @p130 (forall @t41 (or @t47 @t62 @t98 (= (tptp.tl @t61) (tptp.app @t113 @t2))))) % 70.86/71.04 (assume @p131 (forall @t41 (or @t105 @t62 @t46 @t114 @t98))) % 70.86/71.04 (assume @p132 (forall @t41 (or @t108 @t62 @t46 @t115 @t98))) % 70.86/71.04 (assume @p133 (forall @t119 (or @t110 @t118 @t62 @t47 (tptp.rearsegP @t117 @t40)))) % 70.86/71.04 (assume @p134 (forall @t119 (or @t111 @t118 @t62 @t47 (tptp.frontsegP @t120 @t40)))) % 70.86/71.04 (assume @p135 (forall @t119 (or @t92 @t118 @t77 @t46 (tptp.memberP @t121 @t2)))) % 70.86/71.04 (assume @p136 (forall @t119 (or @t124 @t47 @t123 @t77 (tptp.memberP @t122 @t40)))) % 70.86/71.04 (assume @p137 (forall @t119 (or @t124 @t118 @t47 @t77 (tptp.memberP @t120 @t40)))) % 70.86/71.04 (assume @p138 (forall @t119 (or @t124 @t47 @t118 @t77 (tptp.memberP @t117 @t40)))) % 70.86/71.04 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 70.86/71.04 (assume @p140 (forall @t119 (or @t125 @t47 @t62 @t118 (tptp.rearsegP @t116 @t40)))) % 70.86/71.04 (assume @p141 (forall @t119 (or @t125 @t62 @t47 @t118 (tptp.frontsegP @t116 @t2)))) % 70.86/71.04 (assume @p142 (forall @t41 (or @t58 (not @t98) @t62 @t47 @t96))) % 70.86/71.04 (assume @p143 (forall @t119 (or @t82 (not (tptp.gt @t40 @t116)) @t123 @t77 @t46 (tptp.gt @t2 @t116)))) % 70.86/71.04 (assume @p144 (forall @t119 (or @t87 @t127 @t123 @t77 @t46 @t126))) % 70.86/71.04 (assume @p145 (forall @t119 (or @t85 (not (tptp.geq @t40 @t116)) @t123 @t77 @t46 (tptp.geq @t2 @t116)))) % 70.86/71.04 (assume @p146 (forall @t119 (or @t47 @t62 @t118 (= (tptp.app @t128 @t2) (tptp.app @t116 @t61))))) % 70.86/71.04 (assume @p147 (forall @t119 (or (not (= @t95 @t120)) @t62 @t47 @t118 @t129))) % 70.86/71.04 (assume @p148 (forall @t119 (or (not (= @t95 @t128)) @t47 @t62 @t118 @t130))) % 70.86/71.04 (assume @p149 (forall @t119 (or @t109 (not (tptp.segmentP @t40 @t116)) @t118 @t62 @t47 (tptp.segmentP @t2 @t116)))) % 70.86/71.04 (assume @p150 (forall @t119 (or @t110 (not (tptp.rearsegP @t40 @t116)) @t118 @t62 @t47 (tptp.rearsegP @t2 @t116)))) % 70.86/71.04 (assume @p151 (forall @t119 (or @t111 (not (tptp.frontsegP @t40 @t116)) @t118 @t62 @t47 (tptp.frontsegP @t2 @t116)))) % 70.86/71.04 (assume @p152 (forall @t119 (or @t80 @t127 @t123 @t77 @t46 @t126))) % 70.86/71.04 (assume @p153 (forall @t119 (or @t87 (not (tptp.leq @t40 @t116)) @t123 @t77 @t46 (tptp.leq @t2 @t116)))) % 70.86/71.04 (assume @p154 (forall @t119 (or @t46 @t62 @t118 (= (tptp.cons @t2 (tptp.app @t40 @t116)) (tptp.app @t63 @t116))))) % 70.86/71.04 (assume @p155 (forall @t119 (or (not (tptp.memberP @t95 @t116)) @t62 @t47 @t123 @t131 (tptp.memberP @t2 @t116)))) % 70.86/71.04 (assume @p156 (forall @t41 (or (not @t115) (not @t106) @t62 @t46 @t107 @t98))) % 70.86/71.04 (assume @p157 (forall @t41 (or (not @t114) (not @t103) @t62 @t46 @t104 @t98))) % 70.86/71.04 (assume @p158 (forall @t119 (or (not (tptp.memberP @t63 @t116)) @t62 @t46 @t123 @t131 (= @t116 @t2)))) % 70.86/71.04 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 70.86/71.04 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 70.86/71.04 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 70.86/71.04 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 70.86/71.04 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 70.86/71.04 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 70.86/71.04 (assume @p165 @t134) % 70.86/71.04 (assume @p166 @t137) % 70.86/71.04 (assume @p167 (forall @t142 (or @t141 @t123 @t46 @t139 @t62 @t130))) % 70.86/71.04 (assume @p168 (forall @t142 (or @t141 @t123 @t46 @t139 @t62 (= @t138 @t40)))) % 70.86/71.04 (assume @p169 (forall @t142 (or @t109 @t118 @t139 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t138 @t2) @t116) @t40)))) % 70.86/71.04 (assume @p170 @t147) % 70.86/71.04 (assume @p171 (forall @t142 (or @t148 @t139 @t62 @t123 @t46 (tptp.frontsegP @t40 @t138)))) % 70.86/71.04 (assume @p172 (forall @t142 (or (not (= @t149 @t138)) @t118 @t47 @t77 @t139 (tptp.memberP @t138 @t40)))) % 70.86/71.04 (assume @p173 (forall @t142 (or @t148 @t139 @t62 @t123 @t46 @t130))) % 70.86/71.04 (assume @p174 (forall @t41 (or (not (= @t55 @t113)) (not (= @t56 @t102)) @t47 @t62 @t98 @t91 @t54))) % 70.86/71.04 (assume @p175 (forall @t142 (or @t111 (not (= @t116 @t138)) @t62 @t47 @t150 @t123 (tptp.frontsegP @t122 (tptp.cons @t138 @t40))))) % 70.86/71.04 (assume @p176 (forall @t153 (or (not (= (tptp.app @t149 (tptp.cons @t40 @t138)) @t151)) @t139 @t118 @t47 @t77 (not (tptp.duplicatefreeP @t151)) @t152))) % 70.86/71.04 (assume @p177 (forall @t153 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t140)) @t151)) @t139 @t47 @t123 @t77 (not (tptp.equalelemsP @t151)) @t152 @t129))) % 70.86/71.04 (assume @p178 (forall @t158 (or @t157 @t152 @t118 @t47 @t150 @t77 (not (tptp.strictorderedP @t155)) @t156 @t154))) % 70.86/71.04 (assume @p179 (forall @t158 (or @t157 @t152 @t118 @t47 @t150 @t77 (not (tptp.totalorderedP @t155)) @t156 @t159))) % 70.86/71.04 (assume @p180 (forall @t158 (or @t157 @t152 @t118 @t47 @t150 @t77 (not (tptp.strictorderP @t155)) @t156 @t154 (tptp.lt @t138 @t40)))) % 70.86/71.04 (assume @p181 (forall @t158 (or @t157 @t152 @t118 @t47 @t150 @t77 (not (tptp.totalorderP @t155)) @t156 @t159 (tptp.leq @t138 @t40)))) % 70.86/71.04 (assume @p182 (forall @t158 (or @t87 @t112 (not (= (tptp.app (tptp.app @t116 (tptp.cons @t2 @t138)) (tptp.cons @t40 @t151)) @t155)) @t152 @t139 @t118 @t77 @t46 (not (tptp.cyclefreeP @t155)) @t156))) % 70.86/71.04 (assume @p183 (tptp.ssList tptp.sk1)) % 70.86/71.04 (assume @p184 (tptp.ssList tptp.sk2)) % 70.86/71.04 (assume @p185 @t160) % 70.86/71.04 (assume @p186 @t161) % 70.86/71.04 (assume @p187 (= tptp.sk2 tptp.sk4)) % 70.86/71.04 (assume @p188 (= tptp.sk1 tptp.sk3)) % 70.86/71.04 (assume @p189 @t162) % 70.86/71.04 (assume @p190 @t171) % 70.86/71.04 (assume @p191 (or @t174 @t173)) % 70.86/71.04 (assume @p192 (or @t177 @t176)) % 70.86/71.04 (assume @p193 @t179) % 70.86/71.04 (assume @p194 (or @t180 @t176)) % 70.86/71.04 (step @p195 :rule evaluate :args ((= false true))) % 70.86/71.04 (step @p196 :rule instantiate :premises (@p169) :args ((@list @t187 tptp.sk3 tptp.nil @t181))) % 70.86/71.04 (step @p197 :rule aci_norm :args ((= (or false @t118 @t47 @t62 @t189 @t188) (or @t118 @t47 @t62 @t189 @t188)))) % 70.86/71.04 (step @p198 :rule refl :args (@t188)) % 70.86/71.04 (step @p199 :rule refl :args (@t189)) % 70.86/71.04 (step @p200 :rule refl :args (@t62)) % 70.86/71.04 (step @p201 :rule refl :args (@t47)) % 70.86/71.04 (step @p202 :rule refl :args (@t118)) % 70.86/71.04 (step @p203 :rule evaluate :args ((not true))) % 70.86/71.04 (step @p204 :rule eq-refl :args (@t144)) % 70.86/71.04 (step @p205 :rule cong :premises (@p204) :args (@t190)) % 70.86/71.04 (step @p206 :rule trans :premises (@p205 @p203)) % 70.86/71.04 (step @p207 :rule nary_cong :premises (@p206 @p202 @p201 @p200 @p199 @p198) :args (@t191)) % 70.86/71.04 (step @p208 :rule trans :premises (@p207 @p197)) % 70.86/71.04 (step @p209 :rule cong :premises (@p208) :args ((forall @t119 @t191))) % 70.86/71.04 (step @p210 :rule quant-var-elim-eq :args ((= (forall @t194 @t193) @t191))) % 70.86/71.04 (step @p211 :rule aci_norm :args ((= @t195 @t193))) % 70.86/71.04 (step @p212 :rule cong :premises (@p211) :args (@t196)) % 70.86/71.04 (step @p213 :rule trans :premises (@p212 @p210)) % 70.86/71.04 (step @p214 :rule cong :premises (@p213) :args (@t197)) % 70.86/71.04 (step @p215 :rule quant-merge-prenex :args ((= @t197 (forall @t142 @t195)))) % 70.86/71.04 (step @p216 :rule symm :premises (@p215)) % 70.86/71.04 (step @p217 :rule trans :premises (@p216 @p214)) % 70.86/71.04 (step @p218 :rule trans :premises (@p217 @p209)) % 70.86/71.04 (step @p219 :rule refl :args (@t143)) % 70.86/71.04 (step @p220 :rule refl :args (@t139)) % 70.86/71.04 (step @p221 :rule eq-symm :args (@t144 @t138)) % 70.86/71.04 (step @p222 :rule cong :premises (@p221) :args (@t145)) % 70.86/71.04 (step @p223 :rule nary_cong :premises (@p222 @p202 @p201 @p200 @p220 @p219) :args (@t146)) % 70.86/71.04 (step @p224 :rule cong :premises (@p223) :args (@t147)) % 70.86/71.04 (step @p225 :rule trans :premises (@p224 @p218)) % 70.86/71.04 (step @p226 :rule eq_resolve :premises (@p170 @p225)) % 70.86/71.04 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t185 tptp.sk3 @t184))) % 70.86/71.04 (step @p228 :rule instantiate :premises (@p84) :args (@t198)) % 70.86/71.04 (step @p229 :rule instantiate :premises (@p52) :args ((@list tptp.sk5 tptp.sk4))) % 70.86/71.04 (step @p230 :rule refl :args (tptp.nil)) % 70.86/71.04 (step @p231 :rule cong :premises (@p187 @p230) :args (@t162)) % 70.86/71.04 (step @p232 :rule eq_resolve :premises (@p189 @p231)) % 70.86/71.04 (step @p233 :rule chain_m_resolution :premises (@p192 @p232) :args (@t177 @t199 @t200)) % 70.86/71.04 (step @p234 :rule cnf_or_pos :args (@t206)) % 70.86/71.04 (step @p235 :rule reordering :premises (@p234) :args ((or @t205 @t204 @t202 (not @t206)))) % 70.86/71.04 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p229 @p228) :args (@t202 @t207 (@list @t177 @t203 @t206))) % 70.86/71.04 (step @p237 :rule true_intro :premises (@p236)) % 70.86/71.04 (step @p238 :rule eq-symm :args (@t99 @t63)) % 70.86/71.04 (step @p239 :rule refl :args (@t46)) % 70.86/71.04 (step @p240 :rule nary_cong :premises (@p239 @p200 @p238) :args (@t100)) % 70.86/71.04 (step @p241 :rule cong :premises (@p240) :args (@t101)) % 70.86/71.04 (step @p242 :rule eq_resolve :premises (@p118 @p241)) % 70.86/71.04 (step @p243 :rule instantiate :premises (@p242) :args (@t198)) % 70.86/71.04 (step @p244 :rule cnf_or_pos :args (@t210)) % 70.86/71.04 (step @p245 :rule reordering :premises (@p244) :args ((or @t205 @t204 @t209 (not @t210)))) % 70.86/71.04 (step @p246 :rule chain_m_resolution :premises (@p245 @p233 @p229 @p243) :args (@t209 @t207 (@list @t177 @t203 @t210))) % 70.86/71.04 (step @p247 :rule symm :premises (@p246)) % 70.86/71.04 (step @p248 :rule refl :args (@t182)) % 70.86/71.04 (step @p249 :rule refl :args (@t176)) % 70.86/71.04 (step @p250 :rule eq-symm :args (@t178 tptp.sk3)) % 70.86/71.04 (step @p251 :rule nary_cong :premises (@p250 @p249) :args (@t179)) % 70.86/71.04 (step @p252 :rule eq_resolve :premises (@p193 @p251)) % 70.86/71.04 (step @p253 :rule reordering :premises (@p252) :args ((or @t176 @t211))) % 70.86/71.04 (step @p254 :rule chain_m_resolution :premises (@p253 @p232) :args (@t211 @t199 @t200)) % 70.86/71.04 (step @p255 :rule eq-symm :args (@t132 @t2)) % 70.86/71.04 (step @p256 :rule refl :args (@t109)) % 70.86/71.04 (step @p257 :rule nary_cong :premises (@p256 @p200 @p201 @p255) :args (@t133)) % 70.86/71.04 (step @p258 :rule cong :premises (@p257) :args (@t134)) % 70.86/71.04 (step @p259 :rule eq_resolve :premises (@p165 @p258)) % 70.86/71.04 (step @p260 :rule instantiate :premises (@p259) :args (@t212)) % 70.86/71.04 (step @p261 :rule instantiate :premises (@p57) :args (@t213)) % 70.86/71.04 (step @p262 :rule cnf_or_pos :args (@t216)) % 70.86/71.04 (step @p263 :rule reordering :premises (@p262) :args ((or @t215 @t214 (not @t216)))) % 70.86/71.04 (step @p264 :rule chain_m_resolution :premises (@p263 @p185 @p261) :args (@t214 @t217 (@list @t160 @t216))) % 70.86/71.04 (step @p265 :rule cnf_or_pos :args (@t221)) % 70.86/71.04 (step @p266 :rule factoring :premises (@p265)) % 70.86/71.04 (step @p267 :rule reordering :premises (@p266) :args ((or @t215 @t220 @t219 (not @t221)))) % 70.86/71.04 (step @p268 :rule chain_m_resolution :premises (@p267 @p185 @p264 @p260) :args (@t219 @t207 (@list @t160 @t214 @t221))) % 70.86/71.04 (step @p269 :rule symm :premises (@p268)) % 70.86/71.04 (step @p270 :rule trans :premises (@p269 @p254)) % 70.86/71.04 (step @p271 :rule cong :premises (@p270 @p248) :args (@t222)) % 70.86/71.04 (step @p272 :rule instantiate :premises (@p146) :args ((@list @t182 @t183 @t186))) % 70.86/71.04 (step @p273 :rule instantiate :premises (@p48) :args (@t212)) % 70.86/71.04 (step @p274 :rule instantiate :premises (@p83) :args ((@list tptp.sk3 @t185))) % 70.86/71.04 (step @p275 :rule instantiate :premises (@p49) :args (@t212)) % 70.86/71.04 (step @p276 :rule cnf_or_pos :args (@t226)) % 70.86/71.04 (step @p277 :rule reordering :premises (@p276) :args ((or @t215 @t225 @t223 (not @t226)))) % 70.86/71.04 (step @p278 :rule chain_m_resolution :premises (@p277 @p185 @p275 @p274) :args (@t223 @t207 (@list @t160 @t224 @t226))) % 70.86/71.04 (step @p279 :rule cnf_or_pos :args (@t231)) % 70.86/71.04 (step @p280 :rule reordering :premises (@p279) :args ((or @t204 @t228 @t230 @t227 (not @t231)))) % 70.86/71.04 (step @p281 :rule chain_m_resolution :premises (@p280 @p229 @p278 @p273 @p272) :args (@t227 @t232 (@list @t203 @t223 @t229 @t231))) % 70.86/71.04 (step @p282 :rule symm :premises (@p281)) % 70.86/71.04 (step @p283 :rule trans :premises (@p282 @p271 @p247)) % 70.86/71.04 (step @p284 :rule cong :premises (@p283) :args (@t233)) % 70.86/71.04 (step @p285 :rule trans :premises (@p284 @p237)) % 70.86/71.04 (step @p286 :rule true_elim :premises (@p285)) % 70.86/71.04 (step @p287 :rule instantiate :premises (@p83) :args ((@list @t182 @t183))) % 70.86/71.04 (step @p288 :rule cnf_or_pos :args (@t235)) % 70.86/71.04 (step @p289 :rule reordering :premises (@p288) :args ((or @t204 @t230 @t234 (not @t235)))) % 70.86/71.04 (step @p290 :rule chain_m_resolution :premises (@p289 @p229 @p273 @p287) :args (@t234 @t207 (@list @t203 @t229 @t235))) % 70.86/71.04 (step @p291 :rule cnf_or_pos :args (@t239)) % 70.86/71.04 (step @p292 :rule reordering :premises (@p291) :args ((or @t215 @t225 @t238 @t237 @t236 (not @t239)))) % 70.86/71.04 (step @p293 :rule chain_m_resolution :premises (@p292 @p185 @p275 @p290 @p286 @p227) :args (@t236 (@list false false false false false) (@list @t160 @t224 @t234 @t233 @t239))) % 70.86/71.04 (step @p294 :rule instantiate :premises (@p53) :args (@t240)) % 70.86/71.04 (step @p295 :rule cnf_or_pos :args (@t246)) % 70.86/71.04 (step @p296 :rule reordering :premises (@p295) :args ((or @t244 @t215 @t243 @t237 @t245 @t241 (not @t246)))) % 70.86/71.04 (step @p297 :rule chain_m_resolution :premises (@p296 @p8 @p185 @p294 @p286 @p293 @p196) :args (@t241 (@list false false false false false false) (@list @t1 @t160 @t242 @t233 @t236 @t246))) % 70.86/71.04 (step @p298 :rule true_intro :premises (@p297)) % 70.86/71.04 (step @p299 :rule refl :args (tptp.sk3)) % 70.86/71.04 (step @p300 :rule symm :premises (@p254)) % 70.86/71.04 (step @p301 :rule trans :premises (@p300 @p268)) % 70.86/71.04 (step @p302 :rule cong :premises (@p301 @p248) :args (@t208)) % 70.86/71.04 (step @p303 :rule trans :premises (@p246 @p302 @p281)) % 70.86/71.04 (step @p304 :rule refl :args (@t181)) % 70.86/71.04 (step @p305 :rule cong :premises (@p304 @p303) :args (@t247)) % 70.86/71.04 (step @p306 :rule eq-symm :args (@t135 @t2)) % 70.86/71.04 (step @p307 :rule refl :args (@t77)) % 70.86/71.04 (step @p308 :rule refl :args (@t124)) % 70.86/71.04 (step @p309 :rule nary_cong :premises (@p308 @p307 @p201 @p306) :args (@t136)) % 70.86/71.04 (step @p310 :rule cong :premises (@p309) :args (@t137)) % 70.86/71.04 (step @p311 :rule eq_resolve :premises (@p166 @p310)) % 70.86/71.04 (step @p312 :rule instantiate :premises (@p311) :args (@t240)) % 70.86/71.04 (step @p313 :rule reordering :premises (@p194) :args ((or @t176 @t180))) % 70.86/71.04 (step @p314 :rule chain_m_resolution :premises (@p313 @p232) :args (@t180 @t199 @t200)) % 70.86/71.04 (step @p315 :rule cnf_or_pos :args (@t251)) % 70.86/71.04 (step @p316 :rule reordering :premises (@p315) :args ((or @t249 @t205 @t250 @t248 (not @t251)))) % 70.86/71.04 (step @p317 :rule chain_m_resolution :premises (@p316 @p186 @p233 @p314 @p312) :args (@t248 @t232 (@list @t161 @t177 @t180 @t251))) % 70.86/71.04 (step @p318 :rule trans :premises (@p317 @p305)) % 70.86/71.04 (step @p319 :rule refl :args (@t54)) % 70.86/71.04 (step @p320 :rule eq-symm :args (@t88 @t2)) % 70.86/71.04 (step @p321 :rule nary_cong :premises (@p201 @p320 @p319) :args (@t89)) % 70.86/71.04 (step @p322 :rule cong :premises (@p321) :args (@t90)) % 70.86/71.04 (step @p323 :rule eq_resolve :premises (@p107 @p322)) % 70.86/71.04 (step @p324 :rule instantiate :premises (@p323) :args (@t252)) % 70.86/71.04 (step @p325 :rule eq-symm :args (@t63 tptp.nil)) % 70.86/71.04 (step @p326 :rule cong :premises (@p325) :args (@t70)) % 70.86/71.04 (step @p327 :rule nary_cong :premises (@p326 @p239 @p200) :args (@t71)) % 70.86/71.04 (step @p328 :rule cong :premises (@p327) :args (@t72)) % 70.86/71.04 (step @p329 :rule eq_resolve :premises (@p96 @p328)) % 70.86/71.04 (step @p330 :rule instantiate :premises (@p329) :args ((@list tptp.sk5 tptp.nil))) % 70.86/71.04 (step @p331 :rule cnf_or_pos :args (@t254)) % 70.86/71.04 (step @p332 :rule reordering :premises (@p331) :args ((or @t244 @t205 @t253 (not @t254)))) % 70.86/71.04 (step @p333 :rule chain_m_resolution :premises (@p332 @p8 @p233 @p330) :args (@t253 @t207 (@list @t1 @t177 @t254))) % 70.86/71.04 (step @p334 :rule false_intro :premises (@p333)) % 70.86/71.04 (step @p335 :rule cong :premises (@p230 @p254) :args (@t174)) % 70.86/71.04 (step @p336 :rule trans :premises (@p335 @p334)) % 70.86/71.04 (step @p337 :rule false_elim :premises (@p336)) % 70.86/71.04 (step @p338 :rule chain_m_resolution :premises (@p191 @p337) :args (@t173 (@list true) (@list @t174))) % 70.86/71.04 (step @p339 :rule cnf_or_pos :args (@t257)) % 70.86/71.04 (step @p340 :rule reordering :premises (@p339) :args ((or @t172 @t249 @t256 (not @t257)))) % 70.86/71.04 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p186 @p324) :args (@t256 (@list true false false) (@list @t172 @t161 @t257))) % 70.86/71.04 (step @p342 :rule symm :premises (@p341)) % 70.86/71.04 (step @p343 :rule trans :premises (@p342 @p318)) % 70.86/71.04 (step @p344 :rule cong :premises (@p343 @p230) :args ((tptp.app @t255 tptp.nil))) % 70.86/71.04 (step @p345 :rule cong :premises (@p341 @p230) :args (@t258)) % 70.86/71.04 (step @p346 :rule eq-symm :args (@t51 @t2)) % 70.86/71.04 (step @p347 :rule nary_cong :premises (@p201 @p346) :args (@t52)) % 70.86/71.04 (step @p348 :rule cong :premises (@p347) :args (@t53)) % 70.86/71.04 (step @p349 :rule eq_resolve :premises (@p73 @p348)) % 70.86/71.04 (step @p350 :rule instantiate :premises (@p349) :args (@t252)) % 70.86/71.04 (step @p351 :rule cnf_or_pos :args (@t260)) % 70.86/71.04 (step @p352 :rule reordering :premises (@p351) :args ((or @t249 @t259 (not @t260)))) % 70.86/71.04 (step @p353 :rule chain_m_resolution :premises (@p352 @p186 @p350) :args (@t259 @t217 (@list @t161 @t260))) % 70.86/71.04 (step @p354 :rule trans :premises (@p353 @p345 @p344)) % 70.86/71.04 (step @p355 :rule cong :premises (@p354 @p299) :args (@t261)) % 70.86/71.04 (step @p356 :rule refl :args (@t163)) % 70.86/71.04 (step @p357 :rule cong :premises (@p188 @p356) :args (@t164)) % 70.86/71.04 (step @p358 :rule cong :premises (@p357) :args (@t165)) % 70.86/71.04 (step @p359 :rule cong :premises (@p187 @p356) :args (@t166)) % 70.86/71.04 (step @p360 :rule cong :premises (@p359) :args (@t167)) % 70.86/71.04 (step @p361 :rule refl :args (@t168)) % 70.86/71.04 (step @p362 :rule refl :args (@t169)) % 70.86/71.04 (step @p363 :rule nary_cong :premises (@p362 @p361 @p360 @p358) :args (@t170)) % 70.86/71.04 (step @p364 :rule cong :premises (@p363) :args (@t171)) % 70.86/71.04 (step @p365 :rule eq_resolve :premises (@p190 @p364)) % 70.86/71.04 (step @p366 :rule instantiate :premises (@p365) :args (@t213)) % 70.86/71.04 (step @p367 :rule eq-symm :args (@t40 @t2)) % 70.86/71.04 (step @p368 :rule refl :args (@t74)) % 70.86/71.04 (step @p369 :rule nary_cong :premises (@p201 @p200 @p368 @p367) :args (@t75)) % 70.86/71.04 (step @p370 :rule cong :premises (@p369) :args (@t76)) % 70.86/71.04 (step @p371 :rule eq_resolve :premises (@p98 @p370)) % 70.86/71.04 (step @p372 :rule instantiate :premises (@p371) :args ((@list tptp.nil tptp.sk3))) % 70.86/71.04 (step @p373 :rule cnf_or_pos :args (@t263)) % 70.86/71.04 (step @p374 :rule reordering :premises (@p373) :args ((or @t174 @t244 @t215 @t262 (not @t263)))) % 70.86/71.04 (step @p375 :rule chain_m_resolution :premises (@p374 @p337 @p8 @p185 @p372) :args (@t262 (@list true false false false) (@list @t174 @t1 @t160 @t263))) % 70.86/71.04 (step @p376 :rule cnf_or_pos :args (@t266)) % 70.86/71.04 (step @p377 :rule reordering :premises (@p376) :args ((or @t215 @t265 @t264 @t220 (not @t266)))) % 70.86/71.04 (step @p378 :rule chain_m_resolution :premises (@p377 @p185 @p375 @p264 @p366) :args (@t264 @t232 (@list @t160 @t262 @t214 @t266))) % 70.86/71.04 (step @p379 :rule false_intro :premises (@p378)) % 70.86/71.04 (step @p380 :rule symm :premises (@p379)) % 70.86/71.04 (step @p381 :rule trans :premises (@p380 @p355 @p298)) % 70.86/71.04 (step @p382 false :rule eq_resolve :premises (@p381 @p195)) % 70.86/71.04 ) % 70.86/71.04 % SZS output end Proof % 70.86/71.04 % cvc5 exiting %------------------------------------------------------------------------------