%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC410-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:59:13 AM UTC 2026 % Result : Unsatisfiable 36.03s 36.24s % Output : Proof 36.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC410-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.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 19:46:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.71/15.95 --- Run --no-e-matching --full-saturate-quant at 6... % 21.73/21.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.72/28.03 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.85/34.10 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.03/36.24 % SZS status Unsatisfiable % 36.03/36.24 % SZS output start Proof % 36.03/36.26 ( % 36.03/36.26 (declare-sort $$unsorted 0) % 36.03/36.26 (declare-const tptp.sk5 $$unsorted) % 36.03/36.26 (declare-const tptp.sk4 $$unsorted) % 36.03/36.26 (declare-const tptp.sk2 $$unsorted) % 36.03/36.26 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.nil $$unsorted) % 36.03/36.26 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.sk1 $$unsorted) % 36.03/36.26 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skac2 $$unsorted) % 36.03/36.26 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.sk3 $$unsorted) % 36.03/36.26 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.ssList (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skac3 $$unsorted) % 36.03/36.26 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 36.03/36.26 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 36.03/36.26 (define @t1 () (tptp.ssList tptp.nil)) % 36.03/36.26 (define @t2 () (@var "U" $$unsorted)) % 36.03/36.26 (define @t3 () (tptp.skaf83 @t2)) % 36.03/36.26 (define @t4 () (@list @t2)) % 36.03/36.26 (define @t5 () (tptp.skaf82 @t2)) % 36.03/36.26 (define @t6 () (tptp.skaf81 @t2)) % 36.03/36.26 (define @t7 () (tptp.skaf80 @t2)) % 36.03/36.26 (define @t8 () (tptp.skaf79 @t2)) % 36.03/36.26 (define @t9 () (tptp.skaf78 @t2)) % 36.03/36.26 (define @t10 () (tptp.skaf77 @t2)) % 36.03/36.26 (define @t11 () (tptp.skaf76 @t2)) % 36.03/36.26 (define @t12 () (tptp.skaf75 @t2)) % 36.03/36.26 (define @t13 () (tptp.skaf74 @t2)) % 36.03/36.26 (define @t14 () (tptp.skaf73 @t2)) % 36.03/36.26 (define @t15 () (tptp.skaf72 @t2)) % 36.03/36.26 (define @t16 () (tptp.skaf71 @t2)) % 36.03/36.26 (define @t17 () (tptp.skaf70 @t2)) % 36.03/36.26 (define @t18 () (tptp.skaf69 @t2)) % 36.03/36.26 (define @t19 () (tptp.skaf68 @t2)) % 36.03/36.26 (define @t20 () (tptp.skaf67 @t2)) % 36.03/36.26 (define @t21 () (tptp.skaf66 @t2)) % 36.03/36.26 (define @t22 () (tptp.skaf65 @t2)) % 36.03/36.26 (define @t23 () (tptp.skaf64 @t2)) % 36.03/36.26 (define @t24 () (tptp.skaf63 @t2)) % 36.03/36.26 (define @t25 () (tptp.skaf62 @t2)) % 36.03/36.26 (define @t26 () (tptp.skaf61 @t2)) % 36.03/36.26 (define @t27 () (tptp.skaf60 @t2)) % 36.03/36.26 (define @t28 () (tptp.skaf59 @t2)) % 36.03/36.26 (define @t29 () (tptp.skaf58 @t2)) % 36.03/36.26 (define @t30 () (tptp.skaf57 @t2)) % 36.03/36.26 (define @t31 () (tptp.skaf56 @t2)) % 36.03/36.26 (define @t32 () (tptp.skaf55 @t2)) % 36.03/36.26 (define @t33 () (tptp.skaf54 @t2)) % 36.03/36.26 (define @t34 () (tptp.skaf53 @t2)) % 36.03/36.26 (define @t35 () (tptp.skaf52 @t2)) % 36.03/36.26 (define @t36 () (tptp.skaf51 @t2)) % 36.03/36.26 (define @t37 () (tptp.skaf50 @t2)) % 36.03/36.26 (define @t38 () (tptp.skaf49 @t2)) % 36.03/36.26 (define @t39 () (tptp.skaf44 @t2)) % 36.03/36.26 (define @t40 () (@var "V" $$unsorted)) % 36.03/36.26 (define @t41 () (@list @t2 @t40)) % 36.03/36.26 (define @t42 () (tptp.skaf47 @t2 @t40)) % 36.03/36.26 (define @t43 () (tptp.skaf46 @t2 @t40)) % 36.03/36.26 (define @t44 () (tptp.skaf45 @t2 @t40)) % 36.03/36.26 (define @t45 () (tptp.skaf42 @t2 @t40)) % 36.03/36.26 (define @t46 () (not (tptp.ssItem @t2))) % 36.03/36.26 (define @t47 () (not (tptp.ssList @t2))) % 36.03/36.26 (define @t48 () (tptp.cons @t2 tptp.nil)) % 36.03/36.26 (define @t49 () (tptp.ssItem @t40)) % 36.03/36.26 (define @t50 () (tptp.duplicatefreeP @t2)) % 36.03/36.26 (define @t51 () (tptp.app @t2 tptp.nil)) % 36.03/36.26 (define @t52 () (or @t47 (= @t51 @t2))) % 36.03/36.26 (define @t53 () (forall @t4 @t52)) % 36.03/36.26 (define @t54 () (= tptp.nil @t2)) % 36.03/36.26 (define @t55 () (tptp.tl @t2)) % 36.03/36.26 (define @t56 () (tptp.hd @t2)) % 36.03/36.26 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 36.03/36.26 (define @t58 () (not @t54)) % 36.03/36.26 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 36.03/36.26 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 36.03/36.26 (define @t61 () (tptp.app @t40 @t2)) % 36.03/36.26 (define @t62 () (not (tptp.ssList @t40))) % 36.03/36.26 (define @t63 () (tptp.cons @t2 @t40)) % 36.03/36.26 (define @t64 () (tptp.cyclefreeP @t2)) % 36.03/36.26 (define @t65 () (tptp.equalelemsP @t2)) % 36.03/36.26 (define @t66 () (tptp.strictorderedP @t2)) % 36.03/36.26 (define @t67 () (tptp.totalorderedP @t2)) % 36.03/36.26 (define @t68 () (tptp.strictorderP @t2)) % 36.03/36.26 (define @t69 () (tptp.totalorderP @t2)) % 36.03/36.26 (define @t70 () (tptp.tl @t63)) % 36.03/36.26 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 36.03/36.26 (define @t72 () (forall @t41 @t71)) % 36.03/36.26 (define @t73 () (tptp.hd @t63)) % 36.03/36.26 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 36.03/36.26 (define @t75 () (forall @t41 @t74)) % 36.03/36.26 (define @t76 () (= @t40 @t2)) % 36.03/36.26 (define @t77 () (tptp.neq @t40 @t2)) % 36.03/36.26 (define @t78 () (or @t47 @t62 @t77 @t76)) % 36.03/36.26 (define @t79 () (forall @t41 @t78)) % 36.03/36.26 (define @t80 () (not @t49)) % 36.03/36.26 (define @t81 () (tptp.leq @t2 @t40)) % 36.03/36.26 (define @t82 () (tptp.lt @t2 @t40)) % 36.03/36.26 (define @t83 () (not @t82)) % 36.03/36.26 (define @t84 () (tptp.lt @t40 @t2)) % 36.03/36.26 (define @t85 () (not (tptp.gt @t2 @t40))) % 36.03/36.26 (define @t86 () (tptp.gt @t40 @t2)) % 36.03/36.26 (define @t87 () (tptp.leq @t40 @t2)) % 36.03/36.26 (define @t88 () (not (tptp.geq @t2 @t40))) % 36.03/36.26 (define @t89 () (tptp.geq @t40 @t2)) % 36.03/36.26 (define @t90 () (not @t81)) % 36.03/36.26 (define @t91 () (tptp.cons @t3 @t5)) % 36.03/36.26 (define @t92 () (or @t47 (= @t91 @t2) @t54)) % 36.03/36.26 (define @t93 () (forall @t4 @t92)) % 36.03/36.26 (define @t94 () (= @t2 @t40)) % 36.03/36.26 (define @t95 () (not @t94)) % 36.03/36.26 (define @t96 () (tptp.cons @t40 @t2)) % 36.03/36.26 (define @t97 () (not (tptp.neq @t2 @t40))) % 36.03/36.26 (define @t98 () (or @t95 @t97 @t62 @t47)) % 36.03/36.26 (define @t99 () (forall @t41 @t98)) % 36.03/36.26 (define @t100 () (tptp.app @t2 @t40)) % 36.03/36.26 (define @t101 () (= @t100 tptp.nil)) % 36.03/36.26 (define @t102 () (not @t101)) % 36.03/36.26 (define @t103 () (= tptp.nil @t40)) % 36.03/36.26 (define @t104 () (tptp.app @t48 @t40)) % 36.03/36.26 (define @t105 () (or @t46 @t62 (= @t104 @t63))) % 36.03/36.26 (define @t106 () (forall @t41 @t105)) % 36.03/36.26 (define @t107 () (tptp.hd @t40)) % 36.03/36.26 (define @t108 () (tptp.strictorderedP @t40)) % 36.03/36.26 (define @t109 () (tptp.strictorderedP @t63)) % 36.03/36.26 (define @t110 () (not @t109)) % 36.03/36.26 (define @t111 () (tptp.totalorderedP @t40)) % 36.03/36.26 (define @t112 () (tptp.totalorderedP @t63)) % 36.03/36.26 (define @t113 () (not @t112)) % 36.03/36.26 (define @t114 () (not (tptp.segmentP @t2 @t40))) % 36.03/36.26 (define @t115 () (not (tptp.rearsegP @t2 @t40))) % 36.03/36.26 (define @t116 () (not (tptp.frontsegP @t2 @t40))) % 36.03/36.26 (define @t117 () (not @t87)) % 36.03/36.26 (define @t118 () (tptp.tl @t40)) % 36.03/36.26 (define @t119 () (tptp.lt @t2 @t107)) % 36.03/36.26 (define @t120 () (tptp.leq @t2 @t107)) % 36.03/36.26 (define @t121 () (@var "W" $$unsorted)) % 36.03/36.26 (define @t122 () (tptp.app @t121 @t2)) % 36.03/36.26 (define @t123 () (not (tptp.ssList @t121))) % 36.03/36.26 (define @t124 () (@list @t2 @t40 @t121)) % 36.03/36.26 (define @t125 () (tptp.app @t2 @t121)) % 36.03/36.26 (define @t126 () (tptp.cons @t40 @t121)) % 36.03/36.26 (define @t127 () (tptp.cons @t121 @t2)) % 36.03/36.26 (define @t128 () (not (tptp.ssItem @t121))) % 36.03/36.26 (define @t129 () (not (tptp.memberP @t2 @t40))) % 36.03/36.26 (define @t130 () (not (= @t100 @t121))) % 36.03/36.26 (define @t131 () (not @t103)) % 36.03/36.26 (define @t132 () (or @t58 @t131 @t62 @t47 @t101)) % 36.03/36.26 (define @t133 () (forall @t41 @t132)) % 36.03/36.26 (define @t134 () (tptp.lt @t2 @t121)) % 36.03/36.26 (define @t135 () (not (tptp.lt @t40 @t121))) % 36.03/36.26 (define @t136 () (tptp.app @t121 @t40)) % 36.03/36.26 (define @t137 () (= @t40 @t121)) % 36.03/36.26 (define @t138 () (= @t2 @t121)) % 36.03/36.26 (define @t139 () (tptp.memberP @t40 @t121)) % 36.03/36.26 (define @t140 () (@var "X" $$unsorted)) % 36.03/36.26 (define @t141 () (not (tptp.ssList @t140))) % 36.03/36.26 (define @t142 () (tptp.cons @t121 @t140)) % 36.03/36.26 (define @t143 () (not (= @t63 @t142))) % 36.03/36.26 (define @t144 () (@list @t2 @t40 @t121 @t140)) % 36.03/36.26 (define @t145 () (not (tptp.frontsegP @t63 @t142))) % 36.03/36.26 (define @t146 () (tptp.app @t2 @t126)) % 36.03/36.26 (define @t147 () (not (tptp.ssItem @t140))) % 36.03/36.26 (define @t148 () (@var "Y" $$unsorted)) % 36.03/36.26 (define @t149 () (not (tptp.ssList @t148))) % 36.03/36.26 (define @t150 () (@list @t2 @t40 @t121 @t140 @t148)) % 36.03/36.26 (define @t151 () (tptp.lt @t40 @t140)) % 36.03/36.26 (define @t152 () (@var "Z" $$unsorted)) % 36.03/36.26 (define @t153 () (not (tptp.ssList @t152))) % 36.03/36.26 (define @t154 () (not (= (tptp.app @t146 (tptp.cons @t140 @t148)) @t152))) % 36.03/36.26 (define @t155 () (@list @t2 @t40 @t121 @t140 @t148 @t152)) % 36.03/36.26 (define @t156 () (tptp.leq @t40 @t140)) % 36.03/36.26 (define @t157 () (tptp.ssList tptp.sk3)) % 36.03/36.26 (define @t158 () (tptp.ssList tptp.sk4)) % 36.03/36.26 (define @t159 () (tptp.ssItem tptp.sk5)) % 36.03/36.26 (define @t160 () (tptp.memberP tptp.sk2 tptp.sk5)) % 36.03/36.26 (define @t161 () (tptp.memberP tptp.sk1 tptp.sk5)) % 36.03/36.26 (define @t162 () (not @t161)) % 36.03/36.26 (define @t163 () (= tptp.nil tptp.sk4)) % 36.03/36.26 (define @t164 () (not @t163)) % 36.03/36.26 (define @t165 () (= tptp.nil tptp.sk3)) % 36.03/36.26 (define @t166 () (tptp.neq tptp.sk3 tptp.nil)) % 36.03/36.26 (define @t167 () (tptp.neq tptp.sk4 tptp.nil)) % 36.03/36.26 (define @t168 () (not @t167)) % 36.03/36.26 (define @t169 () (tptp.neq tptp.nil tptp.sk3)) % 36.03/36.26 (define @t170 () (not @t169)) % 36.03/36.26 (define @t171 () (@var "D" $$unsorted)) % 36.03/36.26 (define @t172 () (tptp.hd tptp.sk3)) % 36.03/36.26 (define @t173 () (not (= @t172 @t171))) % 36.03/36.26 (define @t174 () (@var "C" $$unsorted)) % 36.03/36.26 (define @t175 () (tptp.cons @t171 tptp.nil)) % 36.03/36.26 (define @t176 () (not (= @t175 @t174))) % 36.03/36.26 (define @t177 () (not (tptp.ssItem @t171))) % 36.03/36.26 (define @t178 () (@var "A" $$unsorted)) % 36.03/36.26 (define @t179 () (@var "B" $$unsorted)) % 36.03/36.26 (define @t180 () (tptp.app @t179 @t174)) % 36.03/36.26 (define @t181 () (not (= @t180 @t178))) % 36.03/36.26 (define @t182 () (tptp.tl tptp.sk3)) % 36.03/36.26 (define @t183 () (not (= @t182 @t179))) % 36.03/36.26 (define @t184 () (not (tptp.ssList @t174))) % 36.03/36.26 (define @t185 () (not (tptp.ssList @t179))) % 36.03/36.26 (define @t186 () (= tptp.sk4 @t178)) % 36.03/36.26 (define @t187 () (not (tptp.ssList @t178))) % 36.03/36.26 (define @t188 () (or @t168 @t187 @t186 @t185 @t184 @t183 @t181 @t177 @t176 @t173 @t170 @t170)) % 36.03/36.26 (define @t189 () (@list @t178 @t179 @t174 @t171)) % 36.03/36.26 (define @t190 () (forall @t189 @t188)) % 36.03/36.26 (define @t191 () (tptp.app tptp.nil tptp.nil)) % 36.03/36.26 (define @t192 () (= tptp.nil @t191)) % 36.03/36.26 (define @t193 () (not @t1)) % 36.03/36.26 (define @t194 () (or @t193 @t192)) % 36.03/36.26 (define @t195 () (not (= tptp.nil tptp.nil))) % 36.03/36.26 (define @t196 () (or @t195 @t193 @t192)) % 36.03/36.26 (define @t197 () (= tptp.nil (tptp.app tptp.nil @t40))) % 36.03/36.26 (define @t198 () (@list @t40)) % 36.03/36.26 (define @t199 () (or @t131 @t131 @t62 @t197)) % 36.03/36.26 (define @t200 () (or @t131 @t62 @t197)) % 36.03/36.26 (define @t201 () (forall @t198 @t200)) % 36.03/36.26 (define @t202 () (or @t193 @t201)) % 36.03/36.26 (define @t203 () (or @t193 @t200)) % 36.03/36.26 (define @t204 () (or @t131 @t62 @t193 @t197)) % 36.03/36.26 (define @t205 () (or @t195 @t131 @t62 @t193 @t197)) % 36.03/36.26 (define @t206 () (= tptp.nil @t100)) % 36.03/36.26 (define @t207 () (or @t58 @t58 @t131 @t62 @t47 @t206)) % 36.03/36.26 (define @t208 () (or @t58 @t131 @t62 @t47 @t206)) % 36.03/36.26 (define @t209 () (forall @t4 @t208)) % 36.03/36.26 (define @t210 () (forall @t198 @t209)) % 36.03/36.26 (define @t211 () (@list @t40 @t2)) % 36.03/36.26 (define @t212 () (forall @t211 @t208)) % 36.03/36.26 (define @t213 () (@list false)) % 36.03/36.26 (define @t214 () (@list tptp.sk3)) % 36.03/36.26 (define @t215 () (tptp.app tptp.sk3 tptp.nil)) % 36.03/36.26 (define @t216 () (= tptp.sk3 @t215)) % 36.03/36.26 (define @t217 () (not @t157)) % 36.03/36.26 (define @t218 () (or @t217 @t216)) % 36.03/36.26 (define @t219 () (@list false false)) % 36.03/36.26 (define @t220 () (tptp.memberP tptp.sk3 tptp.sk5)) % 36.03/36.26 (define @t221 () (tptp.memberP tptp.sk4 tptp.sk5)) % 36.03/36.26 (define @t222 () (not @t221)) % 36.03/36.26 (define @t223 () (not @t165)) % 36.03/36.26 (define @t224 () (not @t220)) % 36.03/36.26 (define @t225 () (not @t224)) % 36.03/36.26 (define @t226 () (= false true)) % 36.03/36.26 (define @t227 () (and @t221 @t163 @t165 @t224)) % 36.03/36.26 (define @t228 () (not @t158)) % 36.03/36.26 (define @t229 () (or @t193 @t228 @t167 @t163)) % 36.03/36.26 (define @t230 () (not (tptp.neq @t40 @t40))) % 36.03/36.26 (define @t231 () (not (= @t40 @t40))) % 36.03/36.26 (define @t232 () (or @t231 @t230 @t62 @t62)) % 36.03/36.26 (define @t233 () (or @t95 @t95 @t97 @t62 @t47)) % 36.03/36.26 (define @t234 () (forall @t4 @t98)) % 36.03/36.26 (define @t235 () (forall @t198 @t234)) % 36.03/36.26 (define @t236 () (forall @t211 @t98)) % 36.03/36.26 (define @t237 () (tptp.neq tptp.sk3 tptp.sk3)) % 36.03/36.26 (define @t238 () (not @t237)) % 36.03/36.26 (define @t239 () (or @t238 @t217)) % 36.03/36.26 (define @t240 () (not @t166)) % 36.03/36.26 (define @t241 () (and @t165 @t238)) % 36.03/36.26 (define @t242 () (tptp.skaf82 tptp.sk3)) % 36.03/36.26 (define @t243 () (tptp.skaf83 tptp.sk3)) % 36.03/36.26 (define @t244 () (tptp.cons @t243 @t242)) % 36.03/36.26 (define @t245 () (= tptp.sk3 @t244)) % 36.03/36.26 (define @t246 () (or @t217 @t245 @t165)) % 36.03/36.26 (define @t247 () (@list true false false)) % 36.03/36.26 (define @t248 () (@list @t243 @t242)) % 36.03/36.26 (define @t249 () (tptp.tl @t244)) % 36.03/36.26 (define @t250 () (= @t242 @t249)) % 36.03/36.26 (define @t251 () (tptp.ssList @t242)) % 36.03/36.26 (define @t252 () (not @t251)) % 36.03/36.26 (define @t253 () (tptp.ssItem @t243)) % 36.03/36.26 (define @t254 () (not @t253)) % 36.03/36.26 (define @t255 () (or @t254 @t252 @t250)) % 36.03/36.26 (define @t256 () (@list false false false)) % 36.03/36.26 (define @t257 () (tptp.hd @t244)) % 36.03/36.26 (define @t258 () (= @t243 @t257)) % 36.03/36.26 (define @t259 () (or @t254 @t252 @t258)) % 36.03/36.26 (define @t260 () (tptp.cons @t243 tptp.nil)) % 36.03/36.26 (define @t261 () (tptp.app @t260 @t242)) % 36.03/36.26 (define @t262 () (= @t244 @t261)) % 36.03/36.26 (define @t263 () (or @t254 @t252 @t262)) % 36.03/36.26 (define @t264 () (tptp.cons @t172 tptp.nil)) % 36.03/36.26 (define @t265 () (tptp.ssItem @t172)) % 36.03/36.26 (define @t266 () (or @t217 @t265 @t165)) % 36.03/36.26 (define @t267 () (tptp.ssList @t264)) % 36.03/36.26 (define @t268 () (not @t265)) % 36.03/36.26 (define @t269 () (or @t268 @t193 @t267)) % 36.03/36.26 (define @t270 () (tptp.ssList @t182)) % 36.03/36.26 (define @t271 () (or @t217 @t270 @t165)) % 36.03/36.26 (define @t272 () (tptp.app @t182 @t264)) % 36.03/36.26 (define @t273 () (tptp.ssList @t272)) % 36.03/36.26 (define @t274 () (not @t270)) % 36.03/36.26 (define @t275 () (not @t267)) % 36.03/36.26 (define @t276 () (or @t275 @t274 @t273)) % 36.03/36.26 (define @t277 () (or @t217 @t193 @t169 (= tptp.sk3 tptp.nil))) % 36.03/36.26 (define @t278 () (forall @t41 (or @t47 @t62 @t77 @t94))) % 36.03/36.26 (define @t279 () (or @t217 @t193 @t169 @t165)) % 36.03/36.26 (define @t280 () (@list true false false false)) % 36.03/36.26 (define @t281 () (= tptp.sk4 @t272)) % 36.03/36.26 (define @t282 () (not @t273)) % 36.03/36.26 (define @t283 () (or @t274 @t282 @t281 @t275 @t268)) % 36.03/36.26 (define @t284 () (or @t282 @t281 @t275 @t268)) % 36.03/36.26 (define @t285 () (not (= @t172 @t172))) % 36.03/36.26 (define @t286 () (or @t282 @t281 @t275 @t268 @t285)) % 36.03/36.26 (define @t287 () (not (= @t171 @t172))) % 36.03/36.26 (define @t288 () (not (tptp.ssList @t175))) % 36.03/36.26 (define @t289 () (tptp.app @t182 @t175)) % 36.03/36.26 (define @t290 () (= tptp.sk4 @t289)) % 36.03/36.26 (define @t291 () (not (tptp.ssList @t289))) % 36.03/36.26 (define @t292 () (or @t287 @t291 @t290 @t288 @t177 @t287)) % 36.03/36.26 (define @t293 () (@list @t171)) % 36.03/36.26 (define @t294 () (or @t291 @t290 @t288 @t177 @t287)) % 36.03/36.26 (define @t295 () (not (= @t175 @t175))) % 36.03/36.26 (define @t296 () (or @t291 @t290 @t288 @t177 @t295 @t287)) % 36.03/36.26 (define @t297 () (not (= @t174 @t175))) % 36.03/36.26 (define @t298 () (tptp.app @t182 @t174)) % 36.03/36.26 (define @t299 () (= tptp.sk4 @t298)) % 36.03/36.26 (define @t300 () (not (tptp.ssList @t298))) % 36.03/36.26 (define @t301 () (or @t297 @t300 @t299 @t184 @t177 @t297 @t287)) % 36.03/36.26 (define @t302 () (@list @t174)) % 36.03/36.26 (define @t303 () (or @t300 @t299 @t184 @t177 @t297 @t287)) % 36.03/36.26 (define @t304 () (forall @t302 @t303)) % 36.03/36.26 (define @t305 () (forall @t293 @t304)) % 36.03/36.26 (define @t306 () (forall (@list @t171 @t174) @t303)) % 36.03/36.26 (define @t307 () (@list @t174 @t171)) % 36.03/36.26 (define @t308 () (not (= @t298 @t298))) % 36.03/36.26 (define @t309 () (or @t300 @t299 @t184 @t308 @t177 @t297 @t287)) % 36.03/36.26 (define @t310 () (not (= @t178 @t298))) % 36.03/36.26 (define @t311 () (or @t310 @t187 @t186 @t184 @t310 @t177 @t297 @t287)) % 36.03/36.26 (define @t312 () (@list @t178)) % 36.03/36.26 (define @t313 () (or @t187 @t186 @t184 @t310 @t177 @t297 @t287)) % 36.03/36.26 (define @t314 () (forall @t312 @t313)) % 36.03/36.26 (define @t315 () (forall @t307 @t314)) % 36.03/36.26 (define @t316 () (forall (@list @t174 @t171 @t178) @t313)) % 36.03/36.26 (define @t317 () (@list @t178 @t174 @t171)) % 36.03/36.26 (define @t318 () (forall @t317 @t313)) % 36.03/36.26 (define @t319 () (or @t274 @t318)) % 36.03/36.26 (define @t320 () (or @t274 @t313)) % 36.03/36.26 (define @t321 () (or @t187 @t186 @t274 @t184 @t310 @t177 @t297 @t287)) % 36.03/36.26 (define @t322 () (not (= @t182 @t182))) % 36.03/36.26 (define @t323 () (or @t187 @t186 @t274 @t322 @t184 @t310 @t177 @t297 @t287)) % 36.03/36.26 (define @t324 () (not (= @t178 @t180))) % 36.03/36.26 (define @t325 () (not (= @t179 @t182))) % 36.03/36.26 (define @t326 () (or @t325 @t187 @t186 @t185 @t325 @t184 @t324 @t177 @t297 @t287)) % 36.03/36.26 (define @t327 () (@list @t179)) % 36.03/36.26 (define @t328 () (or @t187 @t186 @t185 @t325 @t184 @t324 @t177 @t297 @t287)) % 36.03/36.26 (define @t329 () (forall @t327 @t328)) % 36.03/36.26 (define @t330 () (forall @t317 @t329)) % 36.03/36.26 (define @t331 () (forall (@list @t178 @t174 @t171 @t179) @t328)) % 36.03/36.26 (define @t332 () (forall @t189 @t328)) % 36.03/36.26 (define @t333 () (or @t168 @t170 @t332)) % 36.03/36.26 (define @t334 () (or @t168 @t170 @t328)) % 36.03/36.26 (define @t335 () (or @t168 @t187 @t186 @t185 @t184 @t325 @t324 @t177 @t297 @t287 @t170)) % 36.03/36.26 (define @t336 () (or @t168 @t187 @t186 @t185 @t184 @t325 @t324 @t177 @t297 @t287 @t170 @t170)) % 36.03/36.26 (define @t337 () (tptp.memberP @t272 tptp.sk5)) % 36.03/36.26 (define @t338 () (and @t281 @t221)) % 36.03/36.26 (define @t339 () (tptp.memberP @t244 tptp.sk5)) % 36.03/36.26 (define @t340 () (not @t339)) % 36.03/36.26 (define @t341 () (not @t245)) % 36.03/36.26 (define @t342 () (and @t224 @t245)) % 36.03/36.26 (define @t343 () (not @t159)) % 36.03/36.26 (define @t344 () (tptp.memberP @t242 tptp.sk5)) % 36.03/36.26 (define @t345 () (not @t344)) % 36.03/36.26 (define @t346 () (or @t345 @t252 @t254 @t343 @t339)) % 36.03/36.26 (define @t347 () (tptp.memberP @t182 tptp.sk5)) % 36.03/36.26 (define @t348 () (not @t347)) % 36.03/36.26 (define @t349 () (not @t250)) % 36.03/36.26 (define @t350 () (not @t216)) % 36.03/36.26 (define @t351 () (tptp.tl @t215)) % 36.03/36.26 (define @t352 () (and @t216 @t245 @t250 @t345)) % 36.03/36.26 (define @t353 () (tptp.memberP @t264 tptp.sk5)) % 36.03/36.26 (define @t354 () (not @t337)) % 36.03/36.26 (define @t355 () (or @t354 @t275 @t274 @t343 @t353 @t347)) % 36.03/36.26 (define @t356 () (tptp.memberP (tptp.app @t264 @t182) tptp.sk5)) % 36.03/36.26 (define @t357 () (not @t353)) % 36.03/36.26 (define @t358 () (or @t357 @t274 @t275 @t343 @t356)) % 36.03/36.26 (define @t359 () (not @t356)) % 36.03/36.26 (define @t360 () (not @t262)) % 36.03/36.26 (define @t361 () (not @t258)) % 36.03/36.26 (define @t362 () (not @t192)) % 36.03/36.26 (define @t363 () (and @t356 @t192 @t216 @t245 @t258 @t250 @t262 @t224)) % 36.03/36.26 (assume @p1 (tptp.equalelemsP tptp.nil)) % 36.03/36.26 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 36.03/36.26 (assume @p3 (tptp.strictorderedP tptp.nil)) % 36.03/36.26 (assume @p4 (tptp.totalorderedP tptp.nil)) % 36.03/36.26 (assume @p5 (tptp.strictorderP tptp.nil)) % 36.03/36.26 (assume @p6 (tptp.totalorderP tptp.nil)) % 36.03/36.26 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 36.03/36.26 (assume @p8 @t1) % 36.03/36.26 (assume @p9 (tptp.ssItem tptp.skac3)) % 36.03/36.26 (assume @p10 (tptp.ssItem tptp.skac2)) % 36.03/36.26 (assume @p11 (not (tptp.singletonP tptp.nil))) % 36.03/36.26 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 36.03/36.26 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 36.03/36.26 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 36.03/36.26 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 36.03/36.26 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 36.03/36.26 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 36.03/36.26 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 36.03/36.26 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 36.03/36.26 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 36.03/36.26 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 36.03/36.26 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 36.03/36.26 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 36.03/36.26 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 36.03/36.26 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 36.03/36.26 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 36.03/36.26 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 36.03/36.26 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 36.03/36.26 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 36.03/36.26 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 36.03/36.26 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 36.03/36.26 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 36.03/36.26 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 36.03/36.26 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 36.03/36.26 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 36.03/36.26 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 36.03/36.26 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 36.03/36.26 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 36.03/36.26 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 36.03/36.26 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 36.03/36.26 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 36.03/36.26 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 36.03/36.26 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 36.03/36.26 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 36.03/36.26 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 36.03/36.26 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 36.03/36.26 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 36.03/36.26 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 36.03/36.26 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 36.03/36.26 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 36.03/36.26 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 36.03/36.26 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 36.03/36.26 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 36.03/36.26 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 36.03/36.26 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 36.03/36.26 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 36.03/36.26 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 36.03/36.26 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 36.03/36.26 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 36.03/36.27 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 36.03/36.27 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 36.03/36.27 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 36.03/36.27 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 36.03/36.27 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 36.03/36.27 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 36.03/36.27 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 36.03/36.27 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 36.03/36.27 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 36.03/36.27 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 36.03/36.27 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 36.03/36.27 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 36.03/36.27 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 36.03/36.27 (assume @p73 @t53) % 36.03/36.27 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 36.03/36.27 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 36.03/36.27 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 36.03/36.27 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 36.03/36.27 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 36.03/36.27 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 36.03/36.27 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 36.03/36.27 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 36.03/36.27 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 36.03/36.27 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 36.03/36.27 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 36.03/36.27 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 36.03/36.27 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 36.03/36.27 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 36.03/36.27 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 36.03/36.27 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 36.03/36.27 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 36.03/36.27 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 36.03/36.27 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 36.03/36.27 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 36.03/36.27 (assume @p94 @t72) % 36.03/36.27 (assume @p95 @t75) % 36.03/36.27 (assume @p96 (forall @t41 (or (not (= @t63 tptp.nil)) @t46 @t62))) % 36.03/36.27 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 36.03/36.27 (assume @p98 @t79) % 36.03/36.27 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 36.03/36.27 (assume @p100 (forall @t41 (or @t46 @t80 @t77 @t76))) % 36.03/36.27 (assume @p101 (forall @t41 (or @t83 @t80 @t46 @t81))) % 36.03/36.27 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 36.03/36.27 (assume @p103 (forall @t41 (or @t85 @t80 @t46 @t84))) % 36.03/36.27 (assume @p104 (forall @t41 (or @t83 @t46 @t80 @t86))) % 36.03/36.27 (assume @p105 (forall @t41 (or @t88 @t80 @t46 @t87))) % 36.03/36.27 (assume @p106 (forall @t41 (or @t90 @t46 @t80 @t89))) % 36.03/36.27 (assume @p107 @t93) % 36.03/36.27 (assume @p108 (forall @t41 (or @t85 (not @t86) @t46 @t80))) % 36.03/36.27 (assume @p109 (forall @t41 (or @t95 @t83 @t80 @t46))) % 36.03/36.27 (assume @p110 (forall @t41 (or @t58 @t47 @t80 (tptp.strictorderedP @t96)))) % 36.03/36.27 (assume @p111 (forall @t41 (or @t58 @t47 @t80 (tptp.totalorderedP @t96)))) % 36.03/36.27 (assume @p112 (forall @t41 (or @t83 (not @t84) @t46 @t80))) % 36.03/36.27 (assume @p113 @t99) % 36.03/36.27 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 36.03/36.27 (assume @p115 (forall @t41 (or @t95 @t97 @t80 @t46))) % 36.03/36.27 (assume @p116 (forall @t41 (or @t102 @t62 @t47 @t54))) % 36.03/36.27 (assume @p117 (forall @t41 (or @t102 @t62 @t47 @t103))) % 36.03/36.27 (assume @p118 @t106) % 36.03/36.27 (assume @p119 (forall @t41 (or @t90 @t80 @t46 @t82 @t94))) % 36.03/36.27 (assume @p120 (forall @t41 (or @t47 @t62 @t103 (= (tptp.hd @t61) @t107)))) % 36.03/36.27 (assume @p121 (forall @t41 (or @t110 @t62 @t46 @t108 @t103))) % 36.03/36.27 (assume @p122 (forall @t41 (or @t113 @t62 @t46 @t111 @t103))) % 36.03/36.27 (assume @p123 (forall @t41 (or @t88 (not @t89) @t46 @t80 @t76))) % 36.03/36.27 (assume @p124 (forall @t41 (or @t114 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t76))) % 36.03/36.27 (assume @p125 (forall @t41 (or @t115 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t76))) % 36.03/36.27 (assume @p126 (forall @t41 (or @t116 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t76))) % 36.03/36.27 (assume @p127 (forall @t41 (or @t90 @t117 @t46 @t80 @t76))) % 36.03/36.27 (assume @p128 (forall @t41 (or @t115 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 36.03/36.27 (assume @p129 (forall @t41 (or @t116 @t62 @t47 (= (tptp.app @t40 @t44) @t2)))) % 36.03/36.27 (assume @p130 (forall @t41 (or @t47 @t62 @t103 (= (tptp.tl @t61) (tptp.app @t118 @t2))))) % 36.03/36.27 (assume @p131 (forall @t41 (or @t110 @t62 @t46 @t119 @t103))) % 36.03/36.27 (assume @p132 (forall @t41 (or @t113 @t62 @t46 @t120 @t103))) % 36.03/36.27 (assume @p133 (forall @t124 (or @t115 @t123 @t62 @t47 (tptp.rearsegP @t122 @t40)))) % 36.03/36.27 (assume @p134 (forall @t124 (or @t116 @t123 @t62 @t47 (tptp.frontsegP @t125 @t40)))) % 36.03/36.27 (assume @p135 (forall @t124 (or @t95 @t123 @t80 @t46 (tptp.memberP @t126 @t2)))) % 36.03/36.27 (assume @p136 (forall @t124 (or @t129 @t47 @t128 @t80 (tptp.memberP @t127 @t40)))) % 36.03/36.27 (assume @p137 (forall @t124 (or @t129 @t123 @t47 @t80 (tptp.memberP @t125 @t40)))) % 36.03/36.27 (assume @p138 (forall @t124 (or @t129 @t47 @t123 @t80 (tptp.memberP @t122 @t40)))) % 36.03/36.27 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 36.03/36.27 (assume @p140 (forall @t124 (or @t130 @t47 @t62 @t123 (tptp.rearsegP @t121 @t40)))) % 36.03/36.27 (assume @p141 (forall @t124 (or @t130 @t62 @t47 @t123 (tptp.frontsegP @t121 @t2)))) % 36.03/36.27 (assume @p142 @t133) % 36.03/36.27 (assume @p143 (forall @t124 (or @t85 (not (tptp.gt @t40 @t121)) @t128 @t80 @t46 (tptp.gt @t2 @t121)))) % 36.03/36.27 (assume @p144 (forall @t124 (or @t90 @t135 @t128 @t80 @t46 @t134))) % 36.03/36.27 (assume @p145 (forall @t124 (or @t88 (not (tptp.geq @t40 @t121)) @t128 @t80 @t46 (tptp.geq @t2 @t121)))) % 36.03/36.27 (assume @p146 (forall @t124 (or @t47 @t62 @t123 (= (tptp.app @t136 @t2) (tptp.app @t121 @t61))))) % 36.03/36.27 (assume @p147 (forall @t124 (or (not (= @t100 @t125)) @t62 @t47 @t123 @t137))) % 36.03/36.27 (assume @p148 (forall @t124 (or (not (= @t100 @t136)) @t47 @t62 @t123 @t138))) % 36.03/36.27 (assume @p149 (forall @t124 (or @t114 (not (tptp.segmentP @t40 @t121)) @t123 @t62 @t47 (tptp.segmentP @t2 @t121)))) % 36.03/36.27 (assume @p150 (forall @t124 (or @t115 (not (tptp.rearsegP @t40 @t121)) @t123 @t62 @t47 (tptp.rearsegP @t2 @t121)))) % 36.03/36.27 (assume @p151 (forall @t124 (or @t116 (not (tptp.frontsegP @t40 @t121)) @t123 @t62 @t47 (tptp.frontsegP @t2 @t121)))) % 36.03/36.27 (assume @p152 (forall @t124 (or @t83 @t135 @t128 @t80 @t46 @t134))) % 36.03/36.27 (assume @p153 (forall @t124 (or @t90 (not (tptp.leq @t40 @t121)) @t128 @t80 @t46 (tptp.leq @t2 @t121)))) % 36.03/36.27 (assume @p154 (forall @t124 (or @t46 @t62 @t123 (= (tptp.cons @t2 (tptp.app @t40 @t121)) (tptp.app @t63 @t121))))) % 36.03/36.27 (assume @p155 (forall @t124 (or (not (tptp.memberP @t100 @t121)) @t62 @t47 @t128 @t139 (tptp.memberP @t2 @t121)))) % 36.03/36.27 (assume @p156 (forall @t41 (or (not @t120) (not @t111) @t62 @t46 @t112 @t103))) % 36.03/36.27 (assume @p157 (forall @t41 (or (not @t119) (not @t108) @t62 @t46 @t109 @t103))) % 36.03/36.27 (assume @p158 (forall @t124 (or (not (tptp.memberP @t63 @t121)) @t62 @t46 @t128 @t139 (= @t121 @t2)))) % 36.03/36.27 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 36.03/36.27 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 36.03/36.27 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 36.03/36.27 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 36.03/36.27 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 36.03/36.27 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 36.03/36.27 (assume @p165 (forall @t41 (or @t114 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 36.03/36.27 (assume @p166 (forall @t41 (or @t129 @t80 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 36.03/36.27 (assume @p167 (forall @t144 (or @t143 @t128 @t46 @t141 @t62 @t138))) % 36.03/36.27 (assume @p168 (forall @t144 (or @t143 @t128 @t46 @t141 @t62 (= @t140 @t40)))) % 36.03/36.27 (assume @p169 (forall @t144 (or @t114 @t123 @t141 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t140 @t2) @t121) @t40)))) % 36.03/36.27 (assume @p170 (forall @t144 (or (not (= (tptp.app @t100 @t121) @t140)) @t123 @t47 @t62 @t141 (tptp.segmentP @t140 @t40)))) % 36.03/36.27 (assume @p171 (forall @t144 (or @t145 @t141 @t62 @t128 @t46 (tptp.frontsegP @t40 @t140)))) % 36.03/36.27 (assume @p172 (forall @t144 (or (not (= @t146 @t140)) @t123 @t47 @t80 @t141 (tptp.memberP @t140 @t40)))) % 36.03/36.27 (assume @p173 (forall @t144 (or @t145 @t141 @t62 @t128 @t46 @t138))) % 36.03/36.27 (assume @p174 (forall @t41 (or (not (= @t55 @t118)) (not (= @t56 @t107)) @t47 @t62 @t103 @t94 @t54))) % 36.03/36.27 (assume @p175 (forall @t144 (or @t116 (not (= @t121 @t140)) @t62 @t47 @t147 @t128 (tptp.frontsegP @t127 (tptp.cons @t140 @t40))))) % 36.03/36.27 (assume @p176 (forall @t150 (or (not (= (tptp.app @t146 (tptp.cons @t40 @t140)) @t148)) @t141 @t123 @t47 @t80 (not (tptp.duplicatefreeP @t148)) @t149))) % 36.03/36.27 (assume @p177 (forall @t150 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t142)) @t148)) @t141 @t47 @t128 @t80 (not (tptp.equalelemsP @t148)) @t149 @t137))) % 36.03/36.27 (assume @p178 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.strictorderedP @t152)) @t153 @t151))) % 36.03/36.27 (assume @p179 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.totalorderedP @t152)) @t153 @t156))) % 36.03/36.27 (assume @p180 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.strictorderP @t152)) @t153 @t151 (tptp.lt @t140 @t40)))) % 36.03/36.27 (assume @p181 (forall @t155 (or @t154 @t149 @t123 @t47 @t147 @t80 (not (tptp.totalorderP @t152)) @t153 @t156 (tptp.leq @t140 @t40)))) % 36.03/36.27 (assume @p182 (forall @t155 (or @t90 @t117 (not (= (tptp.app (tptp.app @t121 (tptp.cons @t2 @t140)) (tptp.cons @t40 @t148)) @t152)) @t149 @t141 @t123 @t80 @t46 (not (tptp.cyclefreeP @t152)) @t153))) % 36.03/36.27 (assume @p183 (tptp.ssList tptp.sk1)) % 36.03/36.27 (assume @p184 (tptp.ssList tptp.sk2)) % 36.03/36.27 (assume @p185 @t157) % 36.03/36.27 (assume @p186 @t158) % 36.03/36.27 (assume @p187 (= tptp.sk2 tptp.sk4)) % 36.03/36.27 (assume @p188 (= tptp.sk1 tptp.sk3)) % 36.03/36.27 (assume @p189 @t159) % 36.03/36.27 (assume @p190 @t160) % 36.03/36.27 (assume @p191 @t162) % 36.03/36.27 (assume @p192 (or @t165 @t164)) % 36.03/36.27 (assume @p193 (or @t168 @t166)) % 36.03/36.27 (assume @p194 @t190) % 36.03/36.27 (step @p195 :rule aci_norm :args ((= (or @t193 @t194) @t194))) % 36.03/36.27 (step @p196 :rule aci_norm :args ((= (or false @t193 @t192) @t194))) % 36.03/36.27 (step @p197 :rule refl :args (@t192)) % 36.03/36.27 (step @p198 :rule refl :args (@t193)) % 36.03/36.27 (step @p199 :rule evaluate :args ((not true))) % 36.03/36.27 (step @p200 :rule eq-refl :args (tptp.nil)) % 36.03/36.27 (step @p201 :rule cong :premises (@p200) :args (@t195)) % 36.03/36.27 (step @p202 :rule trans :premises (@p201 @p199)) % 36.03/36.27 (step @p203 :rule nary_cong :premises (@p202 @p198 @p197) :args (@t196)) % 36.03/36.27 (step @p204 :rule trans :premises (@p203 @p196)) % 36.03/36.27 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t198 (or (not (= @t40 tptp.nil)) @t131 @t62 @t197)) @t196))) % 36.03/36.27 (step @p206 :rule refl :args (@t197)) % 36.03/36.27 (step @p207 :rule refl :args (@t62)) % 36.03/36.27 (step @p208 :rule refl :args (@t131)) % 36.03/36.27 (step @p209 :rule eq-symm :args (tptp.nil @t40)) % 36.03/36.27 (step @p210 :rule cong :premises (@p209) :args (@t131)) % 36.03/36.27 (step @p211 :rule nary_cong :premises (@p210 @p208 @p207 @p206) :args (@t199)) % 36.03/36.27 (step @p212 :rule aci_norm :args ((= @t200 @t199))) % 36.03/36.27 (step @p213 :rule trans :premises (@p212 @p211)) % 36.03/36.27 (step @p214 :rule cong :premises (@p213) :args (@t201)) % 36.03/36.27 (step @p215 :rule trans :premises (@p214 @p205)) % 36.03/36.27 (step @p216 :rule trans :premises (@p215 @p204)) % 36.03/36.27 (step @p217 :rule nary_cong :premises (@p198 @p216) :args (@t202)) % 36.03/36.27 (step @p218 :rule trans :premises (@p217 @p195)) % 36.03/36.27 (step @p219 :rule quant-miniscope-or :args ((= (forall @t198 @t203) @t202))) % 36.03/36.27 (step @p220 :rule aci_norm :args ((= @t204 @t203))) % 36.03/36.27 (step @p221 :rule cong :premises (@p220) :args ((forall @t198 @t204))) % 36.03/36.27 (step @p222 :rule trans :premises (@p221 @p219)) % 36.03/36.27 (step @p223 :rule trans :premises (@p222 @p218)) % 36.03/36.27 (step @p224 :rule aci_norm :args ((= (or false @t131 @t62 @t193 @t197) @t204))) % 36.03/36.27 (step @p225 :rule refl :args (@t197)) % 36.03/36.27 (step @p226 :rule refl :args (@t62)) % 36.03/36.27 (step @p227 :rule refl :args (@t131)) % 36.03/36.27 (step @p228 :rule nary_cong :premises (@p202 @p227 @p226 @p198 @p225) :args (@t205)) % 36.03/36.27 (step @p229 :rule trans :premises (@p228 @p224)) % 36.03/36.27 (step @p230 :rule cong :premises (@p229) :args ((forall @t198 @t205))) % 36.03/36.27 (step @p231 :rule trans :premises (@p230 @p223)) % 36.03/36.27 (step @p232 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t58 @t131 @t62 @t47 @t206)) @t205))) % 36.03/36.27 (step @p233 :rule refl :args (@t206)) % 36.03/36.27 (step @p234 :rule refl :args (@t47)) % 36.03/36.27 (step @p235 :rule refl :args (@t58)) % 36.03/36.27 (step @p236 :rule eq-symm :args (tptp.nil @t2)) % 36.03/36.27 (step @p237 :rule cong :premises (@p236) :args (@t58)) % 36.03/36.27 (step @p238 :rule nary_cong :premises (@p237 @p235 @p208 @p207 @p234 @p233) :args (@t207)) % 36.03/36.27 (step @p239 :rule aci_norm :args ((= @t208 @t207))) % 36.03/36.27 (step @p240 :rule trans :premises (@p239 @p238)) % 36.03/36.27 (step @p241 :rule cong :premises (@p240) :args (@t209)) % 36.03/36.27 (step @p242 :rule trans :premises (@p241 @p232)) % 36.03/36.27 (step @p243 :rule cong :premises (@p242) :args (@t210)) % 36.03/36.27 (step @p244 :rule quant-merge-prenex :args ((= @t210 @t212))) % 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:premises (@p667) :args (@t249)) % 36.03/36.27 (step @p669 :rule trans :premises (@p385 @p668 @p665)) % 36.03/36.27 (step @p670 :rule symm :premises (@p256)) % 36.03/36.27 (step @p671 :rule refl :args (@t172)) % 36.03/36.27 (step @p672 :rule cong :premises (@p671 @p670) :args ((tptp.cons @t172 @t191))) % 36.03/36.27 (step @p673 :rule cong :premises (@p619) :args ((tptp.hd @t215))) % 36.03/36.27 (step @p674 :rule cong :premises (@p667) :args (@t257)) % 36.03/36.27 (step @p675 :rule trans :premises (@p393 @p674 @p673)) % 36.03/36.27 (step @p676 :rule cong :premises (@p675 @p256) :args (@t260)) % 36.03/36.27 (step @p677 :rule trans :premises (@p676 @p672)) % 36.03/36.27 (step @p678 :rule cong :premises (@p677 @p669) :args (@t261)) % 36.03/36.27 (step @p679 :rule trans :premises (@p776 @p401 @p678)) % 36.03/36.27 (step @p680 :rule cong :premises (@p679 @p257) :args (@t220)) % 36.03/36.27 (step @p291 :rule false_intro :premises (@p260)) % 36.03/36.27 (step @p292 :rule symm :premises (@p291)) % 36.03/36.27 (step @p681 :rule trans :premises (@p292 @p680 @p664)) % 36.03/36.27 (step @p682 false :rule eq_resolve :premises (@p681 @p286)) % 36.03/36.27 (step-pop @p781 :rule scope :premises (@p682)) % 36.03/36.27 (step-pop @p782 :rule scope :premises (@p781)) % 36.03/36.27 (step-pop @p783 :rule scope :premises (@p782)) % 36.03/36.27 (step-pop @p784 :rule scope :premises (@p783)) % 36.03/36.27 (step-pop @p785 :rule scope :premises (@p784)) % 36.03/36.27 (step-pop @p786 :rule scope :premises (@p785)) % 36.03/36.27 (step-pop @p787 :rule scope :premises (@p786)) % 36.03/36.27 (step-pop @p788 :rule scope :premises (@p787)) % 36.03/36.27 (step @p683 :rule process_scope :premises (@p788) :args (false)) % 36.03/36.27 (assume-push @p789 @t192) % 36.03/36.27 (assume-push @p790 @t224) % 36.03/36.27 (assume-push @p791 @t216) % 36.03/36.27 (assume-push @p792 @t245) % 36.03/36.27 (assume-push @p793 @t250) % 36.03/36.27 (assume-push @p794 @t258) % 36.03/36.27 (assume-push @p795 @t262) % 36.03/36.27 (assume-push @p796 @t356) % 36.03/36.27 (step @p700 :rule and_intro :premises (@p796 @p256 @p268 @p792 @p393 @p385 @p401 @p260)) % 36.03/36.27 (step-pop @p797 :rule scope :premises (@p700)) % 36.03/36.27 (step-pop @p798 :rule scope :premises (@p797)) % 36.03/36.27 (step-pop @p799 :rule scope :premises (@p798)) % 36.03/36.27 (step-pop @p800 :rule scope :premises (@p799)) % 36.03/36.27 (step-pop @p801 :rule scope :premises (@p800)) % 36.03/36.27 (step-pop @p802 :rule scope :premises (@p801)) % 36.03/36.27 (step-pop @p803 :rule scope :premises (@p802)) % 36.03/36.27 (step-pop @p804 :rule scope :premises (@p803)) % 36.03/36.27 (step @p701 :rule process_scope :premises (@p804) :args (@t363)) % 36.03/36.27 (step @p710 :rule implies_elim :premises (@p701)) % 36.03/36.27 (step @p711 :rule resolution :premises (@p710 @p683) :args (true @t363)) % 36.03/36.27 (step @p712 :rule not_and :premises (@p711)) % 36.03/36.27 (step @p713 :rule eq_resolve :premises (@p712 @p655)) % 36.03/36.27 (step @p714 false :rule chain_m_resolution :premises (@p713 @p650 @p401 @p393 @p385 @p374 @p268 @p260 @p256) :args (false (@list false false false false false false true false) (@list @t356 @t262 @t258 @t250 @t245 @t216 @t220 @t192))) % 36.03/36.27 ) % 36.03/36.27 % SZS output end Proof % 36.03/36.27 % cvc5 exiting %------------------------------------------------------------------------------